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  • 1
    Online Resource
    Online Resource
    Amsterdam [u.a.] : Elsevier
    Show associated volumes
    UID:
    gbv_1357010982
    Format: Online Ressource , graph. Darst.
    Edition: 1. ed.
    Edition: Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
    ISBN: 9780444501684 , 0444501681
    Series Statement: Handbook of dynamical systems 1A
    Content: Preface -- List of Contributors -- Contents of Volume 1A -- 1. Partially Hyperbolic Dynamical Systems (B. Hasselblatt and Ya. Pesin) -- 2. Smooth Ergodic Theory and Nonuniformly Hypoerbolic Dynamics (L. Barreira and Ya. Pesin, with an Appendix by O. Sarig) -- 3. Stochastic-Like Behaviour in Nonuniformly Expanding Maps (S. Luzzatto) -- 4. Homoclinic Bifurcations, Dominated Splitting, and Robust Transivity (E.R. Pujals and M. Sambarino) -- 5. Random Dynamics (Yu. Kifer, P.-D. Liu) -- 6. An Introduction to Veech Surfaces (P. Hubert and T.A. Schmidt) -- 7. Ergodic Theory of Translation Surfaces (H. Masur) -- 8. On the Lyapunov Exponents of the Kontsevich-Zorich Cocycle (G. Forni) -- 9. Counting Problems in Moduli Space (A. Eskin) -- 10. On the Interplay Between Measurable and Topological Dynamics (E. Glasner and B. Weiss) -- 11. Spectral Properties and Combinatorial Constructions in Ergodic Theory (A. Katok and J.-P. Thouvenot) -- 12. Combinatorial and Diophantine Applications of Ergodic Theory (V. Bergelson, with Appendix A by A. Leibman and Appendix B by A. Quas and M. Wierdl) -- 13. Pointwise Ergodic Theorems for Actions of Groups (A. Nevo) -- 14. Global Attractors in PDE (A.V. Babin) -- 15. Hamiltonian PDEs (S.B. Kuksin, with an Appendix by D. Bambusi) -- 16. Extended Hamiltonian Systems (M.I. Weinstein) -- Author Index of Volume 1A -- Subject Index of Volume 1A -- Author Index -- Subject Index
    Content: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles
    Note: Editors vary. - Includes bibliographical references and indexes. - Description based on print version record
    In: 2
    Additional Edition: ISBN 9780080932262
    Additional Edition: ISBN 0080932266
    Additional Edition: ISBN 1281034290
    Additional Edition: ISBN 9781281034298
    Additional Edition: ISBN 9780444826695
    Additional Edition: ISBN 0444826696
    Additional Edition: ISBN 9780444520555
    Additional Edition: ISBN 0444520554
    Additional Edition: ISBN 9780444501684
    Additional Edition: ISBN 0444501681
    Additional Edition: ISBN 9780444531414
    Additional Edition: ISBN 0444531416
    Additional Edition: Druckausg. Handbook of dynamical systems ; 2 Amsterdam [u.a.] : Elsevier, 2002 ISBN 0444501681
    Language: English
    Keywords: Dynamisches System ; Electronic books ; Electronic books
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    gbv_647442639
    Format: Online-Ressource (XII, 543 S.)
    Edition: Online-Ausg. Amsterdam Elsevier Science & Technology 2010 Electronic reproduction; Mode of access: World Wide Web
    ISBN: 9786612878640 , 9781282878648 , 0444531416 , 0080932266 , 9780444531414 , 9780080932262
    Series Statement: Handbook of Dynamical Systems v.3
    Content: In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems Highlights developments that are the foundation for future research in this field Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems
    Content: In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systemsHighlights developments that are the foundation for future research in this fieldProvides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems
    Note: Includes index , Complex linearizationKAM Theory for circle and annulus maps -- KAM Theory for flows -- Further developments in KAM Theory -- Quasi-periodic bifurcations: dissipative setting -- Quasi-periodic bifurcation theory in other settings -- Further Hamiltonian KAM Theory -- Whitney smooth bundles of KAM tori -- Conclusion. , Electronic reproduction; Mode of access: World Wide Web
    Additional Edition: Print version Handbook of Dynamical Systems
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Dynamisches System
    URL: Volltext  (An electronic book accessible through the World Wide Web; click for information)
    Author information: Broer, Hendrik W. 1950-
    Author information: Hasselblatt, Boris 1961-
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Amsterdam : N.H. North Holland
    UID:
    b3kat_BV039830180
    Format: 1 Online-Ressource (1 online resource)
    Edition: 1st ed
    ISBN: 9780080932262 , 0080932266 , 9780444826695 , 0444826696 , 9780444520555 , 0444520554 , 9780444501684 , 0444501681 , 9780444531414 , 0444531416
    Note: Includes bibliographical references and indexes , This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to name just a few, are ubiquitous dynamical concepts throughout the articles
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
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