An Introduction to Dynamical Systems - Softcover

Arrowsmith, D. K.; Place, C. M.

Softcover

ISBN 10: 0521316502 ISBN 13: 9780521316507

Publisher: Cambridge University Press, 1990

Synopsis

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.

About this title

Book Description

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".

Review

"...a very good textbook. It brings the reader in a short time through the fundamental ideas underlying the theory of dynamical systems theory." Mathematical Reviews

"...a good textbook on the subject." Physics in Canada

"...a true introduction to the modern theory of dynamical systems....It has many clear figures and it has copious exercises which were readily solvable and instructive." Kenneth R. Meyer, SIAM Review

Edition details

• Publisher: Cambridge University Press
• Publication date: 1990
• Language: English
• ISBN 10: 0521316502
• ISBN 13: 9780521316507
• Binding: Paperback
• Edition number: 1
• Number of pages: 432