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Carte Shadowing and Hyperbolicity Sergei Yu Pilyugin

Shadowing and Hyperbolicity

Autor: Sergei Yu Pilyugin, Kazuhiro Sakai
Limbă: engleză
Legare: Carte broșată
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern
Expediem în 5-8 zile
304.29 lei
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...

Informații despre carte

Autor
Sergei Yu Pilyugin, Kazuhiro Sakai
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2017
Pagini
218
EAN
9783319651835
ISBN
3319651838
Enbook ID
16730421
Editura
Springer International Publishing AG
Greutate
380
Dimensiuni
240 x 160 x 15

Descriere completă

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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