| Edition |
1st ed. |
| Description |
1 online resource : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
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. |
| Contents |
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. |
| Note |
Editors vary. |
| Bibliography |
Includes bibliographical references and indexes. |
| Note |
Print version record. |
| Subject |
Differentiable dynamical systems -- Handbooks, manuals, etc.
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Dynamique différentiable -- Guides, manuels, etc.
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Differentiable dynamical systems
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Dynamische systemen.
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Mathematische fysica.
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| Genre/Form |
Handbook |
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handbooks.
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Handbooks and manuals
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Handbooks and manuals.
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Guides et manuels.
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| Added Author |
Hasselblatt, Boris. Editor.
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Katok, A. B. Editor.
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| Other Form: |
Print version: Handbook of dynamical systems. 1st ed. Amsterdam ; New York : North Holland : Elsevier, 2002 0444501681 9780444501684 (OCoLC)50127740 |
| ISBN |
9780444520555 |
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0444520554 |
| Standard No. |
AU@ 000048130249 |
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CHNEW 001006649 |
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CHNEW 001026455 |
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DEBBG BV036962354 |
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DEBSZ 405310110 |
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NZ1 12435160 |
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