A First Course in Dynamics: with a Panorama of Recent Developments

Type

Book

Authors

Boris Hasselblatt

Katok ( Anatole Katok )

ISBN 10

0521587506

ISBN 13

9780521587501

Tags

Engineering, Linear Programming, Probability & Statistics, Acoustics & Sound, Dynamics, System Theory, Chaos Theory, Statistics, Mechanics, Physics

Description

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. - from Amzon

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