Введение в теорию динамических систем с обзором последних достижений
Каток А., Хасселблатт Б.
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.
ক্যাটাগোরিগুলো:
সাল:
2005
প্রকাশক:
МЦНМО
ভাষা:
russian
পৃষ্ঠা:
466
ISBN 10:
0521583047
ISBN 13:
9780521583046
ফাইল:
DJVU, 4.07 MB
IPFS:
,
russian, 2005
Litres
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