Kooperativer Bibliotheksverbund

UID:

Umfang: 1 online resource (343 p.)

ISBN: 1-281-76761-1 , 9786611767617 , 0-08-087388-X

Serie: Pure and applied mathematics (Academic Press) ; 72

Inhalt: Introduction to the Theory of infiniteseimals

Anmerkung: Description based upon print version of record. , Front Cover; INTRODUCTION TO THE THEORY OF INFINITESIMALS; Pure and Applied Mathematics; Copyright Page; CONTENTS; Preface; Acknowledgments; PART 1: CLASSICAL INFINITESIMALS; CHAPTER 1. INTRODUCTION: WHAT ARE INFINITESIMALS?; CHAPTER 2. A FIRST LOOK AT ULTRAPOWERS: A MODEL OF RATIONAL ANALYSIS; 2.1 A Free Ultrafilter u on a Countable Set J; 2.2 An Ultrapower of the Rational Numbers; 2.3 Some Calculus of Polynomials; 2.4 The Exponential Function; 2.5 Peano's Existence Theorem; 2.6 Summary; CHAPTER 3. SUPERSTRUCTURES AND THEIR NONSTANDARD MODELS; 3.1 Introduction , 3.2 Definition of a Superstructure3.3 Superstructures Are Big Enough; 3.4 Nonstandard Models of Superstructures; 3.5 The Formal Language; 3.6 Interpretations of the Formal Language; 3.7 Models of a Superstructure; 3.8 Nonstandard Ultrapower Models; 3.9 Bounded Formal Sentences; 3.10 Embedding xj in Set Theory; 3.11 *-Transforms of Categories; 3.12 Postscript to Chapter; CHAPTER 4. SOME BASIC FACTS ABOUT HYPERREAL NUMBERS; 4.1 Addition, Multiplication, and Order in 'R; 4.2 Some Simplifications of the Notation; 4.3 'R Is Non-Archimedean; 4.4 Infinite, Infinitesimal, and Finite Numbers , 4.5 Some External Entities4.6 Further Simplification of Notation and Classical Functions; 4.7 Hypercomplex Numbers; APPENDIX A. PRELIMINARY RESULTS ON ORDERED RINGS AND FIELDS; A.l Terminology; A.2 Ordered Rings and Fields; A.3 Archimedean Totally Ordered Fields; CHAPTER 5. FOUNDATIONS OF INFINITESIMAL CALCULUS; 5.1 Continuity and Limits; 5.2 Uniform Continuity; 5.3 Basic Definitions of Calculus; 5.4 The Mean Value Theorem; 5.5 The Fundamental Theorem of Calculus; 5.6 Landau's ""Oh-Calculus""; 5.7 Differential Vector Calculus; 5.8 Integral Vector Calculus; 5.9 Calculus on Manifolds , CHAPTER 6. TOPICS IN INFINITESIMAL CALCULUS6.1 Peano's Existence Theorem Revisited; 6.2 Interchanging Limits; 6.3 Euler's Product for the Sine Function; 6.4 Robinson's Lemma and Generalized Limits; 6.5 Dynamical Systems; 6.6 Geometry of the Unit Ball and Boundary Behavior; PART 2: INFINITESIMALS IN FUNCTIONAL ANALYSIS; CHAPTER 7. MORE TOOLS FROM MODEL THEORY; 7.1 Countable Ultrapowers; 7.2 Enlargements; 7.3 Comprehensive Models; 7.4 Saturated Models; 7.5 Ultralimits; 7.6 Properties of Polysaturated Models; 7.7 The Isomorphism Property of Ultralimits , CHAPTER 8. THE GENERAL THEORY OF MONADS AND INFINITESIMALS8.1 Monads with Respect to a Ring of Sets; 8.2 Chromatic Sets; 8.3 Topological Aspects of Monad Theory; 8.4 Uniform Infinitesimal Relations and Finite Points; 8.5 Topological lnfinitesimals at Remote Points; CHAPTER 9. COMPACTIFICATIONS; 9.1 Discrete Cech-Stone Compactification of N; 9.2 Measurable Infinitesimals; 9.3 The Samuel Compactification of the Hyperbolic Plane; 9.4 Normal Meromorphic Functions and Analytic Disks; 9.5 The Fatou-Lindelöf Boundary; 9.6 Bounded Holomorphic Functions and Gleason Parts , 9.7 Fixed Points of Analytic Maps on A M , English

Weitere Ausg.: ISBN 0-12-674150-6

Sprache: Englisch

UID:

Umfang: 1 online resource (488 pages)

Ausgabe: Second edition.

ISBN: 0-443-15475-9

Anmerkung: Front Cover -- Spectroscopic Measurement -- Copyright -- Contents -- Preface -- Acknowledgments -- 1 Introduction -- 1.1 Spectroscopic techniques -- 1.2 Overview of the book -- 1.3 How to use this book -- 1.4 Concluding remarks and warnings -- References -- 2 A brief review of statistical mechanics -- 2.1 Introduction -- 2.2 The Maxwellian velocity distribution -- 2.2.1 Velocity distributions -- 2.2.2 Average molecular pressure -- 2.2.3 Translational energy and the Boltzmann constant -- 2.2.4 The Maxwellian distribution -- 2.3 The Boltzmann population distribution -- 2.3.1 Microstates and macrostates -- 2.3.2 Bosons and fermions -- 2.3.3 Energy accounting -- 2.3.4 Boltzmann statistics -- 2.4 Molecular energy distributions -- 2.4.1 Electronic populations -- 2.4.2 Vibrational populations -- 2.4.3 Rotational populations -- 2.4.4 Coupled modes -- 2.5 Example distributions -- 2.6 Conclusions -- References -- 3 The equation of radiative transfer -- 3.1 Introduction -- 3.2 Some definitions -- 3.2.1 Geometric terms -- 3.2.2 Spectral terms -- 3.2.3 Relationship to simple laboratory measurements -- 3.3 Development of the ERT -- 3.4 Implications of the ERT -- 3.4.1 Rate equations -- 3.4.2 Saturation -- 3.4.3 Absorption and emission -- 3.4.4 Black and gray body behavior -- 3.5 Photon statistics -- 3.5.1 The Planck distribution -- 3.6 Conclusions -- References -- 4 Optical electromagnetics -- 4.1 Introduction -- 4.2 Maxwell's equations in vacuum -- 4.2.1 Gauss' electric law -- 4.2.2 Gauss' magnetic law -- 4.2.3 Faraday's law of induction -- 4.2.4 Ampere's law of induction -- 4.2.5 Maxwell's equations -- 4.3 Basic conclusions from Maxwell's equations -- 4.3.1 The wave equation -- 4.3.2 Plane waves -- 4.3.3 Transverse electromagnetic waves -- 4.4 Material interactions -- 4.5 Brief mention of nonlinear effects -- 4.6 Irradiance. , 4.6.1 An example link between electromagnetism and the ERT -- 4.7 Conclusions -- References -- 5 The Lorentz atom -- 5.1 Classical dipole oscillator -- 5.2 Wave propagation through transmitting media -- 5.3 Dipole emission -- 5.3.1 Dipole emission formalism -- 5.3.2 Dipole radiation patterns -- 5.4 Conclusions -- References -- 6 Classical Hamiltonian dynamics -- 6.1 Introduction -- 6.2 Overview of Hamiltonian dynamics -- 6.3 Hamiltonian dynamics and the Lorentz atom -- 6.4 Conclusions -- References -- 7 An introduction to quantum mechanics -- 7.1 Introduction -- 7.2 Historical perspective -- 7.2.1 The Planck distribution -- 7.2.2 The photoelectric and Compton effects -- 7.2.3 Orbital theories and spectra -- 7.2.4 deBroglie waves -- 7.2.5 Schrödinger's equation -- 7.2.6 Born's probability hypothesis -- 7.2.7 Heisenberg uncertainty -- 7.2.8 An introduction to commutators -- with a connection between commutation, Heisenberg, and Schrödinger -- 7.2.9 Synopsis -- 7.3 Additional components of quantum mechanics -- 7.3.1 Material plane waves -- 7.3.2 The time-dependent Schrödinger equation -- 7.3.3 Some additional mathematics -- 7.3.4 Correspondence -- 7.3.5 Superposition -- 7.3.6 Position revisited -- 7.3.7 Measurements and compatible observables -- 7.3.8 Ehrenfest theorem -- 7.4 Postulates of quantum mechanics -- 7.5 Quantum dynamics -- 7.5.1 Quantum mechanical "pictures" -- 7.5.2 The time evolution operator -- 7.5.3 Time-dependent perturbation theory -- 7.5.4 The Heisenberg equation of motion -- 7.5.5 The undamped density matrix equations -- 7.5.6 A simple example -- 7.6 Conclusions -- References -- 8 Atomic spectroscopy -- 8.1 Introduction -- 8.2 The one-electron atom -- 8.2.1 Definition of ̂V -- 8.2.2 Approach to the Schrödinger equation -- 8.2.3 z-Component of angular momentum -- 8.2.4 Magnitude of the total orbital angular momentum. , 8.2.5 Energy and the full Hamiltonian -- 8.2.6 Introduction to selection rules and notation -- 8.2.7 Magnetic moment -- 8.2.7.1 Zeeman effect -- 8.2.7.2 Spin -- 8.2.8 Selection rules, degeneracy, and notation -- 8.3 Multi-electron atoms -- 8.3.1 Approximation methods -- 8.3.1.1 Hydrogen-like atoms -- 8.3.1.2 Hartree-Fock SCF -- 8.3.2 The Pauli principle and spin -- 8.3.2.1 Electron spin -- 8.3.2.2 Nuclear spin -- 8.3.3 The periodic table -- 8.3.4 Angular momentum coupling -- 8.3.5 Selection rules, degeneracy, and notation -- 8.4 Conclusion -- References -- 9 Molecular spectroscopy -- 9.1 Introduction -- 9.2 Diatomic molecules -- 9.2.1 Approach to the Schrödinger equation -- 9.2.2 The rigid rotator -- 9.2.3 The harmonic oscillator -- 9.2.4 Rotation-vibration spectra and corrections to simple models -- 9.2.5 Anharmonicity -- 9.2.6 Centrifugal distortion in rotation -- 9.2.7 Vibration-rotation interaction -- 9.2.8 Combined, corrected ro-vibrational energies -- 9.2.9 Parity -- 9.2.10 A review of ro-vibrational molecular selection rules -- 9.2.11 Electronic transitions -- 9.2.12 Building up electronic states -- 9.2.13 Electron spin -- 9.2.14 Nuclear spin -- 9.2.15 Electronic states and coupling -- 9.2.16 Electronic spectroscopy -- 9.2.17 Selection rules, degeneracy, and notation -- 9.2.18 Example case: OH A2Σ+X2Π -- 9.2.19 The A2Σ+ excited state -- 9.2.20 The X2Π ground state -- 9.3 Polyatomic molecules -- 9.3.1 Symmetry and point groups -- 9.3.2 σ symmetry -- 9.3.3 i symmetry -- 9.3.4 Cp symmetry -- 9.3.5 Sp symmetry -- 9.3.6 Point groups -- 9.3.7 Rotation of polyatomic molecules -- 9.3.8 Linear polyatomic molecules -- 9.3.9 Spherical top molecules -- 9.3.10 Symmetric top molecules -- 9.3.11 Asymmetric top molecules -- 9.3.12 Vibrations of polyatomic molecules -- 9.3.13 Electronic structure -- 9.4 Conclusions -- References -- 10 Resonance response. , 10.1 Introduction -- 10.2 Einstein coefficients -- 10.2.1 Franck-Condon and Hönl-London factors -- 10.3 Oscillator strengths -- 10.4 Absorption cross-sections -- 10.5 Band oscillator strengths -- 10.6 Conclusions -- References -- 11 Line broadening -- 11.1 Introduction -- 11.2 A spectral formalism -- 11.2.1 Statistics of random variables -- 11.2.2 Statistics of random processes -- 11.2.3 Power spectral densities -- 11.3 General description of optical spectra -- 11.3.1 Spectral density -- 11.3.2 Wiener-Khinchine relation -- 11.3.3 Line profiles -- 11.4 Homogeneous broadening -- 11.5 Inhomogeneous broadening -- 11.6 The Voigt profile -- 11.7 Collisional narrowing -- 11.8 Further details on collisional broadening -- 11.8.1 Collisional models -- 11.8.2 Isolated lines and the MEG model -- 11.8.3 Line mixing -- 11.9 Observations and conclusions -- References -- 12 The density matrix equations -- 12.1 Introduction -- 12.2 Development of the DME -- 12.2.1 Development of the damped DME -- 12.3 Interaction with an electromagnetic field -- 12.3.1 A simple example -- 12.3.2 Inclusion of Doppler broadening -- 12.3.3 A linear system of equations -- 12.4 Multiple levels and polarization in the DME -- 12.5 Two-level DME in the steady-state limit -- 12.6 The optical Bloch equations -- 12.7 Conclusions -- References -- 13 Polarization -- 13.1 Introduction -- 13.2 Polarization of the resonance response -- 13.3 Absorption and polarization -- 13.4 Polarized radiant emission -- 13.5 Photons and polarization -- 13.6 Conclusions -- References -- 14 Rayleigh and Raman scattering -- 14.1 Introduction -- 14.2 Polarizability -- 14.2.1 Direction cosines and Euler angles -- 14.2.2 Space-fixed polarizability ellipsoid -- 14.2.3 Space averages -- 14.3 Classical molecular scattering -- 14.4 Rayleigh scattering -- 14.4.1 Space-fixed molecule -- 14.4.2 Space averages. , 14.4.3 Rayleigh line shapes -- 14.5 Raman scattering -- 14.5.1 Quantum polarizability -- 14.6 Vibrational Raman -- 14.6.1 Vibrational amplitude coefficients -- 14.6.2 Vibrational selection rules -- 14.6.3 Vibrational Raman scattering from a space-fixed molecule -- 14.6.4 Vibrational Raman scattering from a space-averaged molecule -- 14.6.5 Vibrational Raman spectra -- 14.7 Rotational and rotational-vibrational Raman -- 14.7.1 Rotational and ro/vibrational Raman amplitudes -- 14.7.2 Rotational selection rules -- 14.7.3 More on ro/vibrational amplitudes -- 14.7.4 Vibration-rotation interaction -- 14.7.5 Ro/vibrational Raman spectra -- 14.8 Raman lineshapes -- 14.9 Raman flowfield measurements -- 14.10 Conclusions -- References -- 15 Nonlinear optics: coherent anti-Stokes Raman spectroscopy -- 15.1 Introduction -- 15.2 Introduction to nonlinear optics and CARS -- 15.2.1 Phase matching -- 15.3 Material polarization of CARS -- 15.3.1 Spectral treatment for PCARS -- 15.3.2 The linear susceptibility -- 15.3.3 The second-order terms -- 15.3.4 The third-order susceptibility -- 15.3.5 The nature of χCARS and the CARS signal -- 15.3.6 Time domain treatment for PCARS -- 15.4 Additional issues -- 15.4.1 Nonresonant background -- 15.4.2 Long- vs. short-pulses and laser spectra -- 15.4.3 Revivals -- 15.4.4 Line broadening in CARS -- 15.5 Conclusions -- References -- A Constants -- B Nomenclature -- C Units -- References -- D Regularly used Dirac mathematics -- D.1 Dirac bra ket notation -- D.2 Operators -- D.3 Time evolution operator and trace -- Index -- Back Cover.

Weitere Ausg.: Print version: Linne, Mark A. Spectroscopic Measurement San Diego : Elsevier Science & Technology,c2024 ISBN 9780443154744

Sprache: Englisch

UID:

Umfang: 1 online resource (593 p.)

Ausgabe: 1st ed.

ISBN: 1-281-22726-9 , 9786611227265 , 0-08-054706-0

Inhalt: Digital Design and Computer Architecture is designed for courses that combine digital logic design with computer organization/architecture or that teach these subjects as a two-course sequence. Digital Design and Computer Architecture begins with a modern approach by rigorously covering the fundamentals of digital logic design and then introducing Hardware Description Languages (HDLs). Featuring examples of the two most widely-used HDLs, VHDL and Verilog, the first half of the text prepares the reader for what follows in the second: the design of a MIPS Processor. By the end of D

Anmerkung: Description based upon print version of record. , Front cover; In Praise of Digital Design and Computer Architecture; About the Authors; Title page; Copyright page; Table of contents; Preface; FEATURES; ONLINE SUPPLEMENTS; HOW TO USE THE SOFTWARE TOOLS IN A COURSE; Xilinx ISE WebPACK; Synplify Pro; PCSPIM; LABS; BUGS; ACKNOWLEDGMENTS; Chapter 1 From Zero to One; 1.1 THE GAME PLAN; 1.2 THE ART OF MANAGING COMPLEXITY; 1.2.1 Abstraction; 1.2.2 Discipline; 1.2.3 The Three -Y's; 1.3 THE DIGITAL ABSTRACTION; 1.4 NUMBER SYSTEMS; 1.4.1 Decimal Numbers; 1.4.2 Binary Numbers; 1.4.3 Hexadecimal Numbers; 1.4.4 Bytes, Nibbles, and All That Jazz , 1.4.5 Binary Addition1.4.6 Signed Binary Numbers; 1.5 LOGIC GATES; 1.5.1 NOT Gate; 1.5.2 Buffer; 1.5.3 AND Gate; 1.5.4 OR Gate; 1.5.5 Other Two-Input Gates; 1.5.6 Multiple-Input Gates; 1.6 BENEATH THE DIGITAL ABSTRACTION; 1.6.1 Supply Voltage; 1.6.2 Logic Levels; 1.6.3 Noise Margins; 1.6.4 DC Transfer Characteristics; 1.6.5 The Static Discipline; 1.7 CMOS TRANSISTORS; 1.7.1 Semiconductors; 1.7.2 Diodes; 1.7.3 Capacitors; 1.7.4 nMOS and pMOS Transistors; 1.7.5 CMOS NOT Gate; 1.7.6 Other CMOS Logic Gates; 1.7.7 Transmission Gates; 1.7.8 Pseudo-nMOS Logic; 1.8 POWER CONSUMPTION , 1.9 SUMMARY AND A LOOK AHEADExercises; Interview Questions; Chapter 2 Combinational Logic Design; 2.1 INTRODUCTION; 2.2 BOOLEAN EQUATIONS; 2.2.1 Terminology; 2.2.2 Sum-of-Products Form; 2.2.3 Product-of-Sums Form; 2.3 BOOLEAN ALGEBRA; 2.3.1 Axioms; 2.3.2 Theorems of One Variable; 2.3.3 Theorems of Several Variables; 2.3.4 The Truth Behind It All; 2.3.5 Simplifying Equations; 2.4 FROM LOGIC TO GATES; 2.5 MULTILEVEL COMBINATIONAL LOGIC; 2.5.1 Hardware Reduction; 2.5.2 Bubble Pushing; 2.6 X'S AND Z'S, OH MY; 2.6.1 Illegal Value: X; 2.6.2 Floating Value: Z; 2.7 KARNAUGH MAPS , 2.7.1 Circular Thinking2.7.2 Logic Minimization with K-Maps; 2.7.3 Don't Cares; 2.7.4 The Big Picture; 2.8 COMBINATIONAL BUILDING BLOCKS; 2.8.1 Multiplexers; 2.8.2 Decoders; 2.9 TIMING; 2.9.1 Propagation and Contamination Delay; 2.9.2 Glitches; 2.10 SUMMARY; Exercises; Interview Questions; Chapter 3 Sequential Logic Design; 3.1 INTRODUCTION; 3.2 LATCHES AND FLIP-FLOPS; 3.2.1 SR Latch; 3.2.2 D Latch; 3.2.3 D Flip-Flop; 3.2.4 Register; 3.2.5 Enabled Flip-Flop; 3.2.6 Resettable Flip-Flop; 3.2.7 Transistor-Level Latch and Flip-Flop Designs; 3.2.8 Putting It All Together , 3.3 SYNCHRONOUS LOGIC DESIGN3.3.1 Some Problematic Circuits; 3.3.2 Synchronous Sequential Circuits; 3.3.3 Synchronous and Asynchronous Circuits; 3.4 FINITE STATE MACHINES; 3.4.1 FSM Design Example; 3.4.2 State Encodings; 3.4.3 Moore and Mealy Machines; 3.4.4 Factoring State Machines; 3.4.5 FSM Review; 3.5 TIMING OF SEQUENTIAL LOGIC; 3.5.1 The Dynamic Discipline; 3.5.2 System Timing; 3.5.3 Clock Skew; 3.5.4 Metastability; 3.5.5 Synchronizers; 3.5.6 Derivation of Resolution Time; 3.6 PARALLELISM; 3.7 SUMMARY; Exercises; Untitled; Chapter 4 Hardware Description Languages; 4.1 INTRODUCTION , 4.1.1 Modules , English

Weitere Ausg.: ISBN 0-12-370497-9

Sprache: Englisch

UID:

Umfang: 1 online resource (721 p.)

Ausgabe: 2nd ed.

ISBN: 1-283-71715-8 , 0-12-397816-5

Inhalt: Digital Design and Computer Architecture takes a unique and modern approach to digital design. Beginning with digital logic gates and progressing to the design of combinational and sequential circuits, Harris and Harris use these fundamental building blocks as the basis for what follows: the design of an actual MIPS processor. SystemVerilog and VHDL are integrated throughout the text in examples illustrating the methods and techniques for CAD-based circuit design. By the end of this book, readers will be able to build their own microprocessor and will have a top-to-bottom understanding

Anmerkung: Description based upon print version of record. , Front Cover; In Praise of Digital Designand Computer Architecture; About the Authors; Digital Design and Computer Architecture; Copyright; Dedication; Table of Contents; Preface; Features; Side-by-Side Coverage of SystemVerilog and VHDL; Classic MIPS Architecture and Microarchitecture; Real-World Perspectives; Accessible Overview of Advanced Microarchitecture; End-of-Chapter Exercises and Interview Questions; Online Supplements; How to Use the Software Tools in A Course; Altera Quartus II; Microchip MPLAB IDE; Optional Tools: Synplify Premier and QtSpim; Labs; Bugs; Acknowledgments , 1 From Zero to One1.1 The Game Plan; 1.2 The Art of Managing Complexity; 1.2.1 Abstraction; 1.2.2 Discipline; 1.2.3 The Three-Y's; 1.3 The Digital Abstraction; 1.4 Number Systems; 1.4.1 Decimal Numbers; 1.4.2 Binary Numbers; 1.4.3 Hexadecimal Numbers; 1.4.4 Bytes, Nibbles, and All That Jazz; 1.4.5 Binary Addition; 1.4.6 Signed Binary Numbers; Sign/Magnitude Numbers; Two's Complement Numbers; Comparison of Number Systems; 1.5 Logic Gates; 1.5.1 NOT Gate; 1.5.2 Buffer; 1.5.3 AND Gate; 1.5.4 OR Gate; 1.5.5 Other Two-Input Gates; 1.5.6 Multiple-Input Gates; 1.6 Beneath the Digital Abstraction , 1.6.1 Supply Voltage1.6.2 Logic Levels; 1.6.3 Noise Margins; 1.6.4 DC Transfer Characteristics; 1.6.5 The Static Discipline; 1.7 CMOS Transistors*; 1.7.1 Semiconductors; 1.7.2 Diodes; 1.7.3 Capacitors; 1.7.4 nMOS and pMOS Transistors; 1.7.5 CMOS NOT Gate; 1.7.6 Other CMOS Logic Gates; 1.7.7 Transmission Gates; 1.7.8 Pseudo-nMOS Logic; 1.8 Power Consumption*; 1.9 Summary and a Look Ahead; Exercises; Interview Questions; 2 Combinational Logic Design; 2.1 Introduction; 2.2 Boolean Equations; 2.2.1 Terminology; 2.2.2 Sum-of-Products Form; 2.2.3 Product-of-Sums Form; 2.3 Boolean Algebra , 2.3.1 Axioms2.3.2 Theorems of One Variable; 2.3.3 Theorems of Several Variables; 2.3.4 The Truth Behind It All; 2.3.5 Simplifying Equations; 2.4 From Logic to Gates; 2.5 Multilevel Combinational Logic; 2.5.1 Hardware Reduction; 2.5.2 Bubble Pushing; 2.6 X's and Z's, Oh My; 2.6.1 Illegal Value: X; 2.6.2 Floating Value: Z; 2.7 Karnaugh Maps; 2.7.1 Circular Thinking; 2.7.2 Logic Minimization with K-Maps; 2.7.3 Don't Cares; 2.7.4 The Big Picture; 2.8 Combinational Building Blocks; 2.8.1 Multiplexers; 2:1 Multiplexer; Wider Multiplexers; Multiplexer Logic; 2.8.2 Decoders; Decoder Logic; 2.9 Timing , 2.9.1 Propagation and Contamination Delay2.9.2 Glitches; 2.10 Summary; Exercises; Interview Questions; 3 Sequential Logic Design; 3.1 Introduction; 3.2 Latches and Flip-Flops; 3.2.1 SR Latch; 3.2.2 D Latch; 3.2.3 D FIip-Flop; 3.2.4 Register; 3.2.5 Enabled Flip-Flop; 3.2.6 Resettable Flip-Flop; 3.2.7 Transistor-Level Latch and Flip-Flop Designs*; 3.2.8 Putting It All Together; 3.3 Synchronous Logic Design; 3.3.1 Some Problematic Circuits; 3.3.2 Synchronous Sequential Circuits; 3.3.3 Synchronous and Asynchronous Circuits; 3.4 Finite State Machines; 3.4.1 FSM Design Example , 3.4.2 State Encodings , English

Weitere Ausg.: ISBN 0-12-394424-4

Sprache: Englisch

UID:

Umfang: 1 online resource (xxiii, 395 pages) : , digital, PDF file(s).

ISBN: 9781139680462 (ebook)

Serie: New mathematical monographs ; 28

Inhalt: Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Weitere Ausg.: Print version: ISBN 9781107072459

Sprache: Englisch

URL: https://doi.org/10.1017/CBO9781139680462

UID:

Umfang: v, 94 Seiten : , Diagramme, Illustrationen.

ISBN: 978-1-4704-4111-1

Serie: Memoirs of the American Mathematical Society volume 264, number 1279 (second of 6 numbers)

Inhalt: In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on \mathbb{R} {1+d} (d\geq 4) for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both is to exploit (and justify) a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Krieger-Sterbenz-Tataru, which says that the most difficult part of Maxwell-Dirac takes essentially the same form as Maxwell-Klein-Gordon

Inhalt: Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Function spaces -- Chapter 4. Decomposition of the nonlinearity -- Chapter 5. Statement of the main estimates -- Chapter 6. Proof of the main theorem -- Chapter 7. Interlude: Bilinear null form estimates -- Chapter 8. Proof of the bilinear estimates -- Chapter 9. Proof of the trilinear estimates -- Chapter 10. Solvability of paradifferential covariant half-wave equations -- Bibliography -- Back Cover

Anmerkung: Literaturverzeichnis: Seite 93-94. - "March 2020, volume 264, number 1279 (second of 6 numbers)"

In: no:DE-11-002551843

Weitere Ausg.: Erscheint auch als Online-Ausgabe 10.1090/memo/1279

Weitere Ausg.: Erscheint auch als Online-Ausgabe ISBN 9781470458089

Sprache: Englisch

Fachgebiete: Mathematik

URL: Inhaltsverzeichnis

UID:

Umfang: XV, 638 p. 149 illus., 34 illus. in color. , online resource.

Ausgabe: 1st ed. 2020.

ISBN: 9789811555626

Serie: Springer Monographs in Mathematics,

Inhalt: The package of Gromov's pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s to apply this machinery on general symplectic manifolds without assuming any specific restrictions. It was further amplified by this book's authors in their monograph Lagrangian Intersection Floer Theory and in many other publications of theirs and others. Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of Kuranishi structures. Part I discusses the theory on a single space equipped with Kuranishi structure, called a K-space, and its relevant basic package. First, the definition of a K-space and maps to the standard manifold are provided. Definitions are given for fiber products, differential forms, partitions of unity, and the notion of CF-perturbations on the K-space. Then, using CF-perturbations, the authors define the integration on K-space and the push-forward of differential forms, and generalize Stokes' formula and Fubini's theorem in this framework. Also, "virtual fundamental class" is defined, and its cobordism invariance is proved. Part II discusses the (compatible) system of K-spaces and the process of going from "geometry" to "homological algebra". Thorough explanations of the extension of given perturbations on the boundary to the interior are presented. Also explained is the process of taking the "homotopy limit" needed to handle a system of infinitely many moduli spaces. Having in mind the future application of these chain level constructions beyond those already known, an axiomatic approach is taken by listing the properties of the system of the relevant moduli spaces and then a self-contained account of the construction of the associated algebraic structures is given. This axiomatic approach makes the exposition contained here independent of previously published construction of relevant structures. .

Anmerkung: 1.Introduction -- 2.Notations and conventions -- 3.Kuranishi structure and good coordinate system -- 4.Fiber product of Kuranishi structures -- 5.Thickening of a Kuranishi structure -- 6.Multivalued perturbation -- 7.CF-perturbation and integration along the fiber (pushout) -- 8.Stokes' formula -- 9.From good coordinate system to Kuranishi structure and back with CF-perturbations -- 10.Composition formula of smooth correspondences -- 11.Construction of good coordinate system -- 12.Construction of CF-perturbations -- 13.Construction of multivalued perturbations -- 14.Zero and one dimensional cases via multivalued perturbation -- 15.Introduction to Part 2 -- 16.Linear K-system: Floer cohomology I: statement -- 17.Extension of Kuranishi structure and its perturbation from boundary to its neighborhood -- 18.Smoothing corners and composition of morphisms -- 19.Linear K-system: Floer cohomology II: proof -- 20.Linear K-system: Floer cohomology III: Morse case by multisection -- 21.Tree-like K-system: A1 structure I: statement -- 22.Tree-like K-system: A1 structure II: proof -- 23. Orbifold and orbibundle by local coordinate -- 24.Covering space of effective orbifold and K-space -- 25.Admissible Kuranishi structure -- 26.Stratified submersion to a manifold with corners -- 27.Local system and smooth correspondence in de Rham theory with twisted coefficients -- 28.Composition of KG and GG embeddings: Proof of Lemma 3.34 -- 29.Global quotient and orbifold. .

In: Springer Nature eBook

Weitere Ausg.: Printed edition: ISBN 9789811555619

Weitere Ausg.: Printed edition: ISBN 9789811555633

Weitere Ausg.: Printed edition: ISBN 9789811555640

Sprache: Englisch

Fachgebiete: Mathematik

DOI: 10.1007/978-981-15-5562-6

URL: https://doi.org/10.1007/978-981-15-5562-6

URL: Volltext  (URL des Erstveröffentlichers)

UID:

Umfang: XIII, 559 p. , online resource.

ISBN: 9780817682323

Inhalt: One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem. Basic Real Analysis is a modern, systematic text that presents the fundamentals and touchstone results of the subject in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. Key features include: * A broad view of mathematics throughout the book * Treatment of all concepts for real numbers first, with extensions to metric spaces later, in a separate chapter * Elegant proofs * Excellent choice of topics * Numerous examples and exercises to enforce methodology; exercises integrated into the main text, as well as at the end of each chapter * Emphasis on monotone functions throughout * Good development of integration theory * Special topics on Banach and Hilbert spaces and Fourier series, often not included in many courses on real analysis * Solid preparation for deeper study of functional analysis * Chapter on elementary probability * Comprehensive bibliography and index * Solutions manual available to instructors upon request By covering all the basics and developing rigor simultaneously, this introduction to real analysis is ideal for senior undergraduates and beginning graduate students, both as a classroom text or for self-study. With its wide range of topics and its view of real analysis in a larger context, the book will be appropriate for more advanced readers as well.

Anmerkung: 1 Set Theory -- 1.1 Rings and Algebras of Sets -- 1.2 Relations and Functions -- 1.3 Basic Algebra, Counting, and Arithmetic -- 1.4 Infinite Direct Products, Axiom of Choice, and Cardinal Numbers -- 1.5 Problems -- 2 Sequences and Series of Real Numbers -- 2.1 Real Numbers -- 2.2 Sequences in ? -- 2.3 Infinite Series -- 2.4 Unordered Series and Summability -- 2.5 Problems -- 3 Limits of Functions -- 3.1 Bounded and Monotone Functions -- 3.2 Limits of Functions -- 3.3 Properties of Limits -- 3.4 One-sided Limits and Limits Involving Infinity -- 3.5 Indeterminate Forms, Equivalence, Landau’s Little “oh” and Big “Oh” -- 3.6 Problems -- 4 Topology of ? and Continuity -- 4.1 Compact and Connected Subsets of ? -- 4.2 The Cantor Set -- 4.3 Continuous Functions -- 4.4 One-sided Continuity, Discontinuity, and Monotonicity -- 4.5 Extreme Value and Intermediate Value Theorems -- 4.6 Uniform Continuity -- 4.7 Approximation by Step, Piecewise Linear, and Polynomial Functions -- 4.8 Problems -- 5 Metric Spaces -- 5.1 Metrics and Metric Spaces -- 5.2 Topology of a Metric Space -- 5.3 Limits, Cauchy Sequences, and Completeness -- 5.4 Continuity -- 5.5 Uniform Continuity and Continuous Extensions -- 5.6 Compact Metric Spaces -- 5.7 Connected Metric Spaces -- 5.8 Problems -- 6 The Derivative -- 6.1 Differentiability -- 6.2 Derivatives of Elementary Functions -- 6.3 The Differential Calculus -- 6.4 Mean Value Theorems -- 6.5 L’Hôpital’s Rule -- 6.6 Higher Derivatives and Taylor’s Formula -- 6.7 Convex Functions -- 6.8 Problems -- 7 The Riemann Integral -- 7.1 Tagged Partitions and Riemann Sums -- 7.2 Some Classes of Integrable Functions -- 7.3 Sets of Measure Zero and Lebesgue’s Integrability Criterion -- 7.4 Properties of the Riemann Integral -- 7.5 Fundamental Theorem of Calculus -- 7.6 Functions of Bounded Variation -- 7.7 Problems -- 8 Sequences and Series of Functions -- 8.1 Complex Numbers -- 8.2 Pointwise and Uniform Convergence -- 8.3 Uniform Convergence and Limit Theorems -- 8.4 Power Series -- 8.5 Elementary Transcendental Functions -- 8.6 Fourier Series -- 8.7 Problems -- 9 Normed and Function Spaces -- 9.1 Norms and Normed Spaces -- 9.2 Banach Spaces -- 9.3 Hilbert Spaces -- 9.4 Function Spaces -- 9.5 Problems -- 10 The Lebesgue Integral (F. Riesz’s Approach) -- 10.1 Improper Riemann Integrals -- 10.2 Step Functions and Their Integrals -- 10.3 Convergence Almost Everywhere -- 10.4 The Lebesgue Integral -- 10.5 Convergence Theorems -- 10.6 The Banach Space L1 -- 10.7 Problems -- 11 Lebesgue Measure -- 11.1 Measurable Functions -- 11.2 Measurable Sets and Lebesgue Measure -- 11.3 Measurability (Lebesgue’s Definition) -- 11.4 The Theorems of Egorov, Lusin, and Steinhaus -- 11.5 Regularity of Lebesgue Measure -- 11.6 Lebesgue’s Outer and Inner Measures -- 11.7 The Hilbert Spaces L2(E, % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv % 39gaiyaacqWFfcVraaa!47BC! $$ \mathbb{F} $$) -- 11.8 Problems -- 12 General Measure and Probability -- 12.1 Measures and Measure Spaces -- 12.2 Measurable Functions -- 12.3 Integration -- 12.4 Probability -- 12.5 Problems -- A Construction of Real Numbers -- References.

In: Springer eBooks

Weitere Ausg.: Printed edition: ISBN 9781461265030

Sprache: Englisch

DOI: 10.1007/978-0-8176-8232-3

URL: http://dx.doi.org/10.1007/978-0-8176-8232-3

UID:

Umfang: 205 p. : , ill.

Ausgabe: 1st ed.

ISBN: 1-383-02965-2 , 1-4356-0681-7 , 1-282-36570-3 , 9786612365706 , 0-19-152426-3

Serie: Oxford scholarship online

Inhalt: Containing numerous exercises, concepts, hints and solutions, this title covers a wide range of skills required for the mathematical Olympiad, including more than 50 problems in Euclidean geometry.

Anmerkung: Formerly CIP. , Previously issued in print: 2005. , Intro -- Contents -- Glossary of symbols -- 1 Integer-sided triangles -- 1.1 Integer-sided right-angled triangles -- 1.2 Integer-sided triangles with angles of 60& -- #176 -- and 120& -- #176 -- -- 1.3 Heron triangles -- 1.4 The rectangular box -- 1.5 Integer-related triangles -- 1.6 Other integer-related figures -- 2 Circles and triangles -- 2.1 The circumradius R and the inradius r -- 2.2 Intersecting chords and tangents -- 2.3 Cyclic quadrilaterals and inscribable quadrilaterals -- 2.4 The medians of a triangle -- 2.5 The incircle and the excircles -- 2.6 The number of integer-sided triangles of given perimeter -- 2.7 Triangles with angles u, 2u, and 180& -- #176 -- - 3u -- 2.8 Integer r and integer internal bisectors -- 2.9 Triangles with angles u, nu, and 180& -- #176 -- - (n + 1)u -- 3 Lattices -- 3.1 Lattices and the square lattice -- 3.2 Pick's theorem -- 3.3 Integer points on straight lines -- 4 Rational points on curves -- 4.1 Integer points on a planar curve of degree two -- 4.2 Rational points on cubic curves with a singular point -- 4.3 Elliptic curves -- 4.4 Elliptic curves of the form y[sup(2)] = x[sup(3)] - ax - b -- 5 Shapes and numbers -- 5.1 Triangular numbers -- 5.2 More on triangular numbers -- 5.3 Pentagonal and N-gonal numbers -- 5.4 Polyhedral numbers -- 5.5 Catalan numbers -- 6 Quadrilaterals and triangles -- 6.1 Integer parallelograms -- 6.2 Area of a cyclic quadrilateral -- 6.3 Equal sums of squares on the sides of a triangle -- 6.4 The integer-sided equilateral triangle -- 7 Touching circles and spheres -- 7.1 Three circles touching each other and all touching a line -- 7.2 Four circles touching one another externally -- 7.3 Five spheres touching each other externally -- 7.4 Six touching hyperspheres in four-dimensional space -- 7.5 Heron triangles revisited -- 8 More on triangles. , 8.1 Transversals of integer-sided triangles -- 8.2 The pedal triangle of three Cevians -- 8.3 The pedal triangle of a point -- 8.4 The pivot theorem -- 8.5 The symmedians and other Cevians -- 8.6 The Euler line and ratios 2:1 in a triangle -- 8.7 The triangle of excentres -- 8.8 The lengths of OI and OH -- 8.9 Feuerbach's theorem -- 9 Solids -- 9.1 Tetrahedrons with integer edges and integer volume -- 9.2 The circumradius of a tetrahedron -- 9.3 The five regular solids and six regular hypersolids -- 10 Circles and conics -- 10.1 Sequences of intersecting circles of unit radius -- 10.2 Simson lines and Simson conics -- 10.3 The nine-point conic -- 11 Finite geometries -- 11.1 Finite projective and affine geometries -- Appendix A: Areal co-ordinates -- A.1 Preliminaries -- A.2 The co-ordinates of a line -- A.3 The vector treatment of a triangle -- A.4 Why the co-ordinates (l,m,n) are called areal co-ordinates -- A.5 The area of a triangle PQR and the equation of the line PQ -- A.6 The areal co-ordinates of key points in the triangle -- A.7 Some examples -- A.8 The areal metric -- A.9 The condition for perpendicular displacements -- A.10 The equation of a circle -- Answers to exercises -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W.

Sprache: Englisch

DOI: 10.1093/oso/9780198566915.001.0001

UID:

Umfang: Online-Ressource (VIII, 496 p. 16 illus., 3 illus. in color, digital)

ISBN: 9781461445234

Serie: Fields Institute Communications 64

Inhalt: Preface -- Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (J. Hale, G. Raugel) -- Spectral Theory for Forward Nonautonomus Parabolic Equations and Applications (J. Mierczynski, W. Shen) -- A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition (H. Fan, X. Lin) -- Instability of Radially-Symmetric Spikes in Systems with Conserved Quantity (A. Pogan, A. Scheel) -- Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays (M. Li, J. Wei) -- Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozel (W. Liu, M. Oh) -- A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit (A. Hoffman, G. Wayne) -- Littlewood Problem for a Singular Subquadratic Potential (X. Li, Y. Yi) -- Semiflows for Neutral Equations with State-dependent Delay (H.-O. Walther) -- Threshold Dynamics of Scalar Linear Periodic Delay-Differential Equations (Y. Chen, J. Wu) -- Differential Equations with Random Delay (T.S. Doan, S. Siegmund) -- Beyond Diffusion: Conditional Dispersal in Ecological Models (C. Cosner) -- Global Attractor of a Coupled Two-Cell Brusselator Model (Y. You) -- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay (A. Ducrot, P. Magal, S. Ruan) -- Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows (Y. Wang, X. Zhao) -- The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture (M. Lewicka, R. Pakzad) -- Traveling Wavefronts for Lattic Differential Equations with Time Delay and Global Interaction (S. Ma, Z. Zou) -- Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop (Y. Zhao, H. Zhu) Anomalous Diffusion in Polymers: Long-Time Behaviour (D. Vorotnikov).

Inhalt: This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic and hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by equations describing the evolution in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among the major sources of motivation and applications of new developments in nonlinear analysis and other mathematical theories. The theory of infinite dimensional dynamical systems has also increasingly important applications in the physical, chemical and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects his pioneering work and influence in core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.

Anmerkung: Description based upon print version of record , Infinite Dimensional Dynamical Systems; Preface; Contents; Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems; 1 Introduction; 2 An Integral Equation Method; 2.1 An Abstract Result; 2.1.1 Step 1; 2.1.2 Step 2; 2.2 Comparison with the Modified Poincaré Method; 2.3 Some Examples of Applications; 2.3.1 Systems of Weakly Damped Wave Equations with Positive Damping; 2.3.2 Systems of Weakly Damped Wave Equations with Variable Non-negative Damping; 2.3.3 A System of Damped Wave Equations in a Thin Domain , 3 A Simple Method Combining the Fredholm Alternative with a Lyapunov Schmidt Procedure3.1 The Case of Ordinary Differential Equations; 3.2 The Infinite-Dimensional Case; References; Spectral Theory for Forward Nonautonomous Parabolic Equations and Applications; 1 Introduction; 2 Assumptions and Weak Solutions; 2.1 Assumptions; 2.2 Weak Solutions: Definition; 2.3 Weak Solutions: Basic Properties; 3 Principal Spectrum; 3.1 Definition; 3.2 Fundamental Properties; 3.3 Monotonicity and Continuity with Respect to Zero Order Terms; 4 Exponential Separation and Equivalent Definition , 4.1 Definitions and Characterizations4.2 The Classical Case: An Example; 5 More Properties of Principal Spectrum; 5.1 Continuity with Respect to the Coefficients; 5.2 Time Averaging; 5.3 Space-Averaging; 6 Applications to Nonlinear Equations of Kolmogorov Type; References; A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition; 1 Introduction; 2 Existence of Liquefaction and Evaporation Waves; 2.1 Eigenvalues and Eigenvectors at Equilibrium Points; 2.2 Existence of Liquefaction Waves for λ-=0, λ+=1; 2.3 Existence of Liquefaction Waves for λ-=0, 00 , 4 Discussion for the Case Where a4 and Arbitrary S β=4 and Approximately Robust S; 6 Intermediate Theories for Plates and Convex Shells: β(2,4); 7 A Conjecture on the Infinite Hierarchy of Shell Models; References; Traveling Wavefronts in Lattice Differential Equations with TimeDelay and Global Interaction; 1 Introduction; 2 Operational Equations for Profile of Traveling Waves; 3 Properties of the Operators L and G; 4 Proof of the Main Theorem; 5 Applications; References; Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop; 1 Introduction , 2 Reduction of the System and Bifurcation Function3 Picard-Fuchs System and Some Preliminary Results; 4 Estimate for the Number of Zeros of I(h); 5 Proof of Theorem 1.1; References; Anomalous Diffusion in Polymers: Long-Time Behaviour; 1 Introduction; 2 Function Spaces and Related Notations; 3 Basic Properties of the Boundary Value Problem; 4 Semigroups, Semiflows, Trajectory Attractors and Global Attractors; 5 Attractors for the Polymeric Diffusion Problem; References; , ​ ​Preface -- Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (J. Hale, G. Raugel) -- Spectral Theory for Forward Nonautonomus Parabolic Equations and Applications (J. Mierczynski, W. Shen) -- A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition (H. Fan, X. Lin) -- Instability of Radially-Symmetric Spikes in Systems with Conserved Quantity (A. Pogan, A. Scheel) -- Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays (M. Li, J. Wei) -- Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozel (W. Liu, M. Oh) -- A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit (A. Hoffman, G. Wayne) -- Littlewood Problem for a Singular Subquadratic Potential (X. Li, Y. Yi) -- Semiflows for Neutral Equations with State-dependent Delay (H.-O. Walther) -- Threshold Dynamics of Scalar Linear Periodic Delay-Differential Equations (Y. Chen, J. Wu) -- Differential Equations with Random Delay (T.S. Doan, S. Siegmund) -- Beyond Diffusion: Conditional Dispersal in Ecological Models (C. Cosner) -- Global Attractor of a Coupled Two-Cell Brusselator Model (Y. You) -- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay (A. Ducrot, P. Magal, S. Ruan) -- Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows (Y. Wang, X. Zhao) -- The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture (M. Lewicka, R. Pakzad) -- Traveling Wavefronts for Lattic Differential Equations with Time Delay and Global Interaction (S. Ma, Z. Zou) -- Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop (Y. Zhao, H. Zhu) Anomalous Diffusion in Polymers: Long-Time Behaviour (D. Vorotnikov).​.

Weitere Ausg.: ISBN 9781461445227

Weitere Ausg.: Buchausg. u.d.T. Infinite dimensional dynamical systems New York, NY [u.a.] : Springer, 2013 ISBN 9781461445227

Weitere Ausg.: ISBN 1461445221

Sprache: Englisch

Schlagwort(e): Unendlichdimensionales System ; Dynamisches System ; Unendlichdimensionales System ; Dynamisches System ; Konferenzschrift

DOI: 10.1007/978-1-4614-4523-4

URL: Volltext  (lizenzpflichtig)

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Inhaltstext