Shadowing and HyperbolicityAuthor :
Paperback
Published : Saturday 2 September 2017
Description
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.
You may also like ...
by
Paperback
02 Sep 2017
Cybernetics and systems theory
€58.49
Extended stock – Dispatch 5-7 days
by
Paperback
15 May 2024
Art music, orchestral and formal music
€40.95
Extended stock – Dispatch 5-7 days
by
Paperback
29 Dec 2023
History
€42.11
Extended stock – Dispatch 5-7 days
by
Hardback
29 Dec 2023
History
€152.10
Extended stock – Dispatch 5-7 days
Reviews