Items related to An Introduction to Dynamical Systems
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.
"synopsis" may belong to another edition of 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
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1990
- ISBN 10 0521303621
- ISBN 13 9780521303620
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages423
- Rating
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