๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An Introduction to Dynamical Systems Chapters 1 and 3

โœ Scribed by D. K. Arrowsmith, C. M. Place

Book ID
127433324
Publisher
Cambridge University Press
Year
1990
Tongue
English
Weight
5 MB
Category
Library
ISBN-13
9780521316507

No coin nor oath required. For personal study only.

โœฆ 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.

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