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1.

図書

図書
edited by Bernold Fiedler
出版情報: Amsterdam ; Tokyo : Elsevier Science, 2002-  3 v. ; 25 cm
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目次情報: 続きを見る
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
2.

図書

図書
Anatole Katok, Jean-Marie Strelcyn ; with the collaboration of F. Ledrappier and F. Przytycki
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  viii, 283 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1222
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3.

図書

図書
Anatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza
出版情報: Cambridge ; New York, N.Y. : Cambridge University Press, 1995  xviii, 802 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 54
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