Mathematics-Dynamical Systems

Введение в теорию динамических систем с обзором последних достижений

US$5.00 US$34.00

Title (user) : Введение в теорию динамических систем с обзором последних достиженийTitle (google) : A First Course in Dynamics with a Panorama of Recent DevelopmentsISBN : 0521583047GoogleBook ID : E8J6twEACAAJOpenLibrary ID : OL15513309MAuthors (user) : Каток А., Хасселблатт...
Description

Title (user) : Введение в теорию динамических систем с обзором последних достижений

Title (google) : A First Course in Dynamics with a Panorama of Recent Developments

ISBN : 0521583047

GoogleBook ID : E8J6twEACAAJ

OpenLibrary ID : OL15513309M

Authors (user) : Каток А., Хасселблатт Б.

Authors (google) : Boris Hasselblatt,Anatole Katok

Publisher : МЦНМО

Language : Russian

Publication Date : 2005

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (google) :
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

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