Keywords:
Differentiable dynamical systems
;
Differentiable dynamical systems Handbooks, manuals, etc
;
Differentiable dynamical systems
;
Mathematische fysica
;
Handbooks and manuals
;
Differentiable dynamical systems
;
Dynamische systemen
;
Handbooks and manuals
;
Electronic books
;
Electronic books Handbooks and manuals
;
Dynamisches System
;
Dynamisches System
In:
1B
Description / Table of Contents:
This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey Principal Structures of Volume 1A. The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field. . The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems
Type of Medium:
Online Resource
Pages:
Online-Ressource (v)
Edition:
Elsevier e-book collection on ScienceDirect
ISBN:
0444520554
,
9780444520555
URL:
http://www.sciencedirect.com/science/book/9780444520555
URL:
https://www.sciencedirect.com/science/handbooks/1874575X/1/part/PB
URL:
http://www.sciencedirect.com/science/handbooks/1874575X/1/part/PB
URL:
https://zbmath.org/?q=an:1081.00006
Language:
English
Note:
Editors vary. - Includes bibliographical references and indexes. - Print version record
,
PrefaceList of Contributors -- 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.
,
Preface -- List of Contributors -- 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.
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