An Introduction to Dynamical Systems

An Introduction to Dynamical Systems

Author
D.K. ArrowsmithC.M. Place
Publisher
Cambridge University Press
Language
English
Edition
1ed; 2 reprint
Year
1994
Page
423
ISBN
0521316502, 0521303621
File Type
pdf
File Size
164.6 MiB

Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit "chaotic behavior." The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar maps. The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. The text contains many worked examples and exercises, many with hints. It will be a valuable first textbook for senior undergraduate and postgraduate students of mathematics, physics, and engineering.

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