An Introduction To Dynamical Systems
by D. K. Arrowsmith /
1990 / English / PDF
5.5 MB Download
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.
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.
