Shadowing in dynamical systems / Sergei Yu. Pilyugin
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1706Langue : anglais.Éditeur : Berlin : Springer, 1999ISBN: 9783540662990.ISSN: 1617-9692.Sujet MSC : 37C50, Smooth dynamical systems: general theory, Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics37C05, Smooth dynamical systems: general theory, Dynamical systems involving smooth mappings and diffeomorphisms
37C10, Smooth dynamical systems: general theory, Dynamics induced by flows and semiflows
37C20, Smooth dynamical systems: general theory, Generic properties, structural stability of dynamical systems
37D05, Dynamical systems with hyperbolic behavior, Dynamical systems with hyperbolic orbits and setsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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The book contains a detailed and comprehensive presentation of the shadowing property of dynamical systems. While the results contained in the book are not new, the author succeeds in presenting them in a unified way. The discussion is enhanced by a fairly large collection of fundamental examples. ... (Zentralblatt)
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