Handbook of dynamical systems

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Handbook of dynamical systems / edited by Bernold Fiedler

資料種別:

図書

出版情報:

Amsterdam ; Tokyo : Elsevier Science, 2002-

形態:

3 v. ; 25 cm

著者名:

ISBN:

9780444826695 [0444826696] (vol. 1A)
9780444520555 [0444520554] (vol. 1B)
9780444501684 [0444501681] (vol. 2)

書誌ID:

BA56806307

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書誌詳細

注記:

Vol. 1A & 1B edited by B. Hasselblatt, A. Katok
Includes bibliographical references and indexes

主題:

Differentiable dynamical systems

言語:

英語

目次情報:

Principal structures / B. Hasselblatt ; A. KatokVolume 1A：

Entropy, Isomorphism and Equivalence / J.-P. Thouvenot

Hyperbolic dynamics

Invariant measures for hyperbolic dynamical systems / N. Chernov

Periodic orbits and zeta functions / M. Pollicott

Hyperbolic dynamics and Riemannian geometry / G. Knieper

Topological Methods in Dynamics / J. Franks ; M. Misiurewicz

One-Dimensional Maps / M. Jakobson ; G. Sawiatek

Ergodic theory and dynamics of G-spaces / R. Feres

Symbolic and algebraic dynamical systems / D. Lind ; K. Schmidt

Homogeneous flows, applications to number theory, and related topics / D. Kleinbock ; N. Shah ; A. Starkov

Random transformations in ergodic theory / A. Furman

Rational billiards and flat structures / H. Masur ; S. Tabachnikov

Variational methods for Hamiltonian systems / P.H. Rabinowitz

Pseudoholomorphic curves and dynamics in three dimensions / H. Hofer ; K. Wysocki ; E. Zehnder

Finite-Dimensional Methods / A：

Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators / N. Kopell ; G.B. Ermentrout1：

Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere / C. Jones ; S. Winkler2：

Geometric singular perturbation analysis of neuronal dynamics / J.E. Rubin ; D. Terman3：

Numerics / B：

Numerical continuation, and computation of normal forms / W.-J. Beyn ; A. Champneys ; E. Doedel ; W. Govaerts ; Y.A. Kuznetsov ; B. Sandstede4：

Set oriented numerical methods for dynamical systems / M. Dellnitz ; O. Junge5：

Numerics and exponential smallness / V. Gelfreich6：

Shadowability of chaotic dynamical systems / C. Grebogi ; L. Poon ; T. Sauer ; J.A. Yorke ; D. Auerbach7：

Numerical analysis of dynamical systems / J. Guckenheimer8：

Topological Methods / C：

Conley index / K. Mischaikow ; M. Mrozek9：

Functional differential equations / R.D. Nussbaum10：

Partial Differential Equations / D：

Navier--Stokes equations and dynamical systems / C. Bardos ; B. Nicolaenko11：

The nonlinear Schrodinger equation as both a PDE and a dynamical system / D. Cai ; D.W. McLaughlin ; K.T.R. McLaughlin12：

Pattern formation in gradient systems / P.C. Fife13：

Blow-up in nonlinear heat equations from the dynamical systems point of view / M. Fila ; H. Matano14：

The Ginzburg--Landau equation in its role as a modulation equation / A. Mielke15：

Parabolic equations: asymptotic behavior and dynamics on invariant manifolds / P. Polacik16：

Global attractors in partial differential equations / G. Raugel17：

Stability of travelling waves / 18：

Preface List of Contributors Contents of Volume 1A

Partially Hyperbolic Dynamical Systems / Ya. Pesin

Smooth Ergodic Theory and Nonuniformly Hypoerbolic Dynamics / L. Barreira

Appendix / O. Sarig

Stochastic-Like Behaviour in Nonuniformly Expanding Maps / S. Luzzatto

Homoclinic Bifurcations, Dominated Splitting, and Robust Transivity / E.R. Pujals ; M. Sambarino

Random Dynamics / Yu. Kifer ; P.-D. Liu

An Introduction to Veech Surfaces / P. Hubert ; T.A. Schmidt

Ergodic Theory of Translation Surfaces

On the Lyapunov Exponents of the Kontsevich-Zorich Cocycle / G. Forni

Counting Problems in Moduli Space / A. Eskin

On the Interplay Between Measurable and Topological Dynamics / E. Glasner ; B. Weiss

Spectral Properties and Combinatorial Constructions in Ergodic Theory

Combinatorial and Diophantine Applications of Ergodic Theory / V. Bergelson

Appendix A / A. Leibman

Appendix B / A. Quas ; M. Wierdl

Pointwise Ergodic Theorems for Actions of Groups / A. Nevo

Global Attractors in PDE / A.V. Babin

Hamiltonian PDEs / S.B. Kuksin

Extended Hamiltonian Systems / D. Bambusi ; M.I. Weinstein

Author Index of Volume 1A

Subject Index of Volume 1A

Author Index

Subject Index

Principal structures / B. Hasselblatt ; A. KatokVolume 1A：

Entropy, Isomorphism and Equivalence / J.-P. Thouvenot

Hyperbolic dynamics

Invariant measures for hyperbolic dynamical systems / N. Chernov

Periodic orbits and zeta functions / M. Pollicott

Hyperbolic dynamics and Riemannian geometry / G. Knieper

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