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Kniha Shadowing and Hyperbolicity Sergei Yu Pilyugin

Shadowing and Hyperbolicity

Autor: Sergei Yu Pilyugin, Kazuhiro Sakai
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer International Publishing AG
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 260 Kč
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...

Informace o knize

Autor
Sergei Yu Pilyugin, Kazuhiro Sakai
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2017
Stránek
218
EAN
9783319651835
ISBN
3319651838
Enbook ID
16730421
Vydavatel
Springer International Publishing AG
Hmotnost
380
Rozměry
240 x 160 x 15

Kompletní popis

Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. Special attention is given to the study of "quantitative" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows). Relations between the shadowing property of diffeomorphisms on their chain transitive sets and the hyperbolicity of such sets are also described. The book will allow young researchers in the field of dynamical systems to gain a better understanding of new ideas in the global qualitative theory. It will also be of interest to specialists in dynamical systems and their applications.

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