Mathematics-Dynamical Systems

An Introduction to Dynamical Systems

US$5.00 US$59.00

Title (user) : An Introduction to Dynamical SystemsISBN : 0521316502,0521303621GoogleBook ID : HOU6q6wHCncCAuthors (user) : D. K. Arrowsmith, C. M. PlaceAuthors (google) : D. K. Arrowsmith,C. M. PlacePublisher : Cambridge University PressLanguage : EnglishPublication Date : 1990Scanned...
Description

Title (user) : An Introduction to Dynamical Systems

ISBN : 0521316502,0521303621

GoogleBook ID : HOU6q6wHCncC

Authors (user) : D. K. Arrowsmith, C. M. Place

Authors (google) : D. K. Arrowsmith,C. M. Place

Publisher : Cambridge University Press

Language : English

Publication Date : 1990

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
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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Description (google) :
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. The early part of this 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, Anosov automorphism, the horseshoe diffeomorphism 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. This book, which has a great number of worked examples and exercises, many with hints, and over 200 figures, will be a valuable first textbook to both senior undergraduates and postgraduate students in mathematics, physics, engineering, and other areas in which the notions of qualitative dynamics are employed.

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