Mathematics-Differential Equations

Интегрируемые системы - теоретико-групповой подход

US$5.00 US$19.00

Title (user) : Интегрируемые системы - теоретико-групповой подходTitle (google) : Интегрируемые системы теоретико-групповой подходISBN : 5939722628GoogleBook ID : ehtaQwAACAAJAuthors (user) : Рейман А.Г., Семёнов-Тян-Шанский М.А.Authors (google) : А. Г. Рейман,Михаил Семенов-Тян-Шанск...
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Title (user) : Интегрируемые системы - теоретико-групповой подход

Title (google) : Интегрируемые системы теоретико-групповой подход

ISBN : 5939722628

GoogleBook ID : ehtaQwAACAAJ

Authors (user) : Рейман А.Г., Семёнов-Тян-Шанский М.А.

Authors (google) : А. Г. Рейман,Михаил Семенов-Тян-Шанский

Publisher : РХД

Language : Russian

Publication Date : 2003

Scanned : yes (300 DPI)

File Format : djvu

Categories : Differentiable dynamical systems


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Description (user) :
В книге систематически описана теория классических интегрируемых систем; в основу описания многочисленных примеров положен метод классической г-матрицы, позволяющий с единой точки зрения описать скрытую симметрию интегрируемых систем. Изложение рассчитано на читателей-неспециалистов (в особенности на студентов-старшекурсников и аспирантов).


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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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