An Introduction to Dynamical Systems (Paperback)

D.K. Arrowsmith

ISBN 10: 0521316502 / ISBN 13: 9780521316507

Published by Cambridge University Press, Cambridge, 1990

About this Item

Paperback. 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. In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit this sort of behaviour. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521316507

Bibliographic Details

• Title: An Introduction to Dynamical Systems (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 1990
• Language: English
• ISBN 10: 0521316502
• ISBN 13: 9780521316507
• Binding: Paperback
• Condition: new

About this title

Synopsis

This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time.

Review

' ... a book which can be recommended unreservedly ... the many exercises are particularly useful.' International Mathematical News