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An Introduction to Dynamical Systems

by

An Introduction to Dynamical Systems Cover

 

Synopses & Reviews

Publisher Comments:

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:

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".

Synopsis:

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.

Synopsis:

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

Table of Contents

Preface; 1. Diffeomorphisms and flows; 2. Local properties of flow and diffeomorphims; 3. Structural stability, hyperbolicity and homoclinic points; 4. Local bifurcations I: planar vector fields and diffeomorphisms on R; 5. Local bifurcations II: diffeomorphisms on R2; 6. Area-preserving maps and their perturbations; Hints for exercises; References; Index.

Product Details

ISBN:
9780521316507
Author:
Arrowsmith, D. K.
Author:
Arrowsmith/Place
Author:
Place, C. M.
Author:
Place, C. H.
Publisher:
Cambridge University Press
Location:
Cambridge England ;
Subject:
General
Subject:
Physics
Subject:
Differential Equations
Subject:
Dynamics
Subject:
Chaotic Behavior in Systems
Subject:
Differentiable dynamical systems
Subject:
General Mathematics
Subject:
Differentiable dynamical systems Differentiab
Subject:
Physics-General
Edition Description:
Trade paper
Series Volume:
26
Publication Date:
19900731
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
432
Dimensions:
9.29x7.46x.95 in. 1.58 lbs.

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An Introduction to Dynamical Systems New Trade Paper
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Product details 432 pages Cambridge University Press - English 9780521316507 Reviews:
"Synopsis" by , 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".
"Synopsis" by , 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.
"Synopsis" by , This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time.
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