Mathematics-Dynamical Systems

Исследования дихотомии линейных систем дифференциальных уравнений с помощью функций Ляпунова

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Title (user) : Исследования дихотомии линейных систем дифференциальных уравнений с помощью функций ЛяпуноваISBN : 5120013090GoogleBook ID : vVewAAAAIAAJOpenLibrary ID : OL1647991MAuthors (user) : Митропольский У., Самойленко А., Кулик В.Authors (google) : Юрий Алексеевич Митропольс...
Description

Title (user) : Исследования дихотомии линейных систем дифференциальных уравнений с помощью функций Ляпунова

ISBN : 5120013090

GoogleBook ID : vVewAAAAIAAJ

OpenLibrary ID : OL1647991M

Authors (user) : Митропольский У., Самойленко А., Кулик В.

Authors (google) : Юрий Алексеевич Митропольский,Анатолий Михайлович Самойленко,Виктор Леонидович Кулик

Publisher : Наук. думка

Language : Russian

Publication Date : 1990

Scanned : yes (300 DPI)

File Format : djvu

Categories : Differential equations


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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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