Kooperativer Bibliotheksverbund

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Format: 1 Online-Ressource (x, 259 p.) , ill , 24 cm

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

ISBN: 0123744504 , 9780123744500

Series Statement: Pure and applied mathematics a series of monographs and textbooks 94

Note: Includes bibliographical references (p. 246-252) and index

Additional Edition: Reproduktion von Smooth dynamical systems 1980

Language: English

Keywords: Differentialgleichung ; Dynamisches System ; Differenzierbares dynamisches System ; Differentialgleichungssystem

URL: Volltext

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Format: XII, 259 S. : , graph. Darst.

ISBN: 981-02-4599-8

Series Statement: Advanced series in nonlinear dynamics 17

Language: English

Subjects: Mathematics

Keywords: Differenzierbares dynamisches System ; Differentialgleichung ; Dynamisches System ; Differentialgleichungssystem

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Format: X, 259 S. : , graph. Darst.

ISBN: 0-12-374450-4

Series Statement: Pure and applied mathematics 94

Language: English

Subjects: Mathematics

Keywords: Differentialgleichung ; Dynamisches System ; Differenzierbares dynamisches System ; Differentialgleichungssystem

URL: Inhaltsverzeichnis

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Format: 1 online resource (271 p.)

ISBN: 1-281-76627-5 , 9786611766276 , 0-08-087410-X

Series Statement: Pure and applied mathematics; a series of monographs and textbooks ; 94

Content: Smooth dynamical systems

Note: Description based upon print version of record. , Front Cover; Smooth Dynamical Systems; Copyright Page; Contents; Preface; Introduction; I. The simple pendulum; II. A dissipative system; III. The spherical pendulum; IV. Vector fields and dynamical systems; Chapter 1. Some Simple Examples; I. Flows and homeomorphisms; II. Orbits; III. Examples of dynamical systems; IV. Constructing systems; V. Properties of orbits; Appendix 1; Chapter 2. Equivalent Systems; I. Topological conjugacy; II. Homeomorphisms of the circle; III. Flow equivalence and topological equivalence; IV. Local equivalence; V. Limit sets of flows , VI. Limit sets of homeomorphismsVII. Non-wandering sets; Appendix 2; Chapter 3. Integration of Vector Fields; I. Vector fields; II. Velocity vector fields and integral flows; III. Ordinary differential equations; IV. Local integrals; V. Global integrals; Appendix 3; Chapter 4. Linear Systems; I. Linear flows on Rn; II. Linear automorphisms of Rn; III. The spectrum of a linear endomorphism .; IV. Hyperbolic linear automorphisms; V. Hyperbolic linear vector fields; Appendix 4; Chapter 5. Linearization; I. Regular points; II. Hartman's theorem; III. Hartman's theorem for flows , IV. Hyperbolic closed orbitsAppendix 5; Chapter 6. Stable Manifolds; I. The stable manifold at a hyperbolic fixed point of a diffeomorphism; II. Stable manifold theory for flows; III. The generalized stable manifold theorem; Appendix 6; Chapter 7. Stable Systems; I. Low dimensional systems; II. Anosov systems; III. Characterization of structural stability; IV. Density; V. Omega stability; VI. Bifurcation; Appendix A. Theory of Manifolds; Appendix B. Map Spaces; Appendix C. The Contraction Mapping Theorem; Bibliography; Subject Index , English

Additional Edition: ISBN 0-12-374450-4

Language: English

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Format: xii, 259 p. : , ill.

Edition: Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

Series Statement: Advanced series in nonlinear dynamics ; v. 17

Language: English

Keywords: Electronic books.

URL: Click to View

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Format: 1 online resource (273 p.)

Edition: 1st ed.

ISBN: 1-281-95165-X , 9786611951658 , 981-281-012-9

Series Statement: Advanced series in nonlinear dynamics ; v. 17

Content: This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area. Request Inspection Copy 〈br〉〈i〉Contents: 〈/i〉〈ul〉〈li〉Some Simple Examples〈/li〉〈li〉Equivalent Systems〈/li〉〈li〉Integration of Vector Fields〈/li〉〈li〉Linear Systems, Linearization, Stable Manifolds〈/li〉〈li〉Stable Systems〈/li〉〈li〉Appendices〈/li〉〈/ul〉〈br〉〈i〉Readership: 〈/i〉Graduate students in mathematics.〈br〉

Note: Description based upon print version of record. , Contents ; Foreword ; Preface ; Introduction ; I. The simple pendulum ; II. A dissipative system ; III. The spherical pendulum ; IV. Vector fields and dynamical systems ; Chapter 1. Some Simple Examples ; I. Flows and homeomorphisms ; II. Orbits , III. Examples of dynamical systems IV. Constructing systems ; V. Properties of orbits ; Appendix 1 ; I. Group actions ; Chapter 2. Equivalent Systems ; I. Topological conjugacy ; II. Homeomorphisms of the circle ; III. Flow equivalence and topological equivalence , IV. Local equivalence V. Limit sets of flows ; VI. Limit sets of homeomorphisms ; VII. Non-wandering sets ; Appendix 2 ; I. Two topological lemmas ; II. Oriented orbits in Hausdorff spaces ; III. Compactification ; Chapter 3. Integration of Vector Fields ; I. Vector fields , II. Velocity vector fields and integral flows III. Ordinary differential equations ; IV. Local integrals ; V. Global integrals ; Appendix 3 ; I. Integrals of perturbed vector fields ; II. First integrals ; Chapter 4. Linear Systems ; I. Linear flows on R"" , II. Linear automorphisms of R"" III. The spectrum of a linear endomorphism ; IV. Hyperbolic linear automorphisms ; V. Hyperbolic linear vector fields ; Appendix 4 ; I. Spectral Theory ; Chapter 5. Linearization ; I. Regular points ; II. Hartman's theorem , III. Hartman's theorem for flows , English

Additional Edition: ISBN 981-02-4599-8

Language: English