A First Course in Dynamics: with a Panorama of Recent Developments 1st Edition by Boris Hasselblatt (Author), Anatole Katok

ISBN: 9780521587501

Publisher ‏ : ‎ Cambridge University Press, June 23, 2003

Paperback, 436 pages

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.