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Chaos (Textbooks in Mathematical Sciences)

by Kathleen T Alligood

Chaos (Textbooks in Mathematical Sciences) Cover

 

Synopses & Reviews

Publisher Comments:

Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits — short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Synopsis:

dynamical systems and chaos, including discrete dynamical systems (maps), fractals, and systems of nonlinear differential equations. Computer experiments, designed to be used with many standard software packages, are included throughout and each chapter ends with a discussion or tour through an advanced topic. 224 illus., 25 in color.

Description:

Includes bibliographical references (p. 587-594) and index.
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Table of Contents

Preface.- One-Dimensional Maps.- Two-dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limited Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction of Data.- Appendices A & B.- Answers and Hints to Selected Exercises.- Bibliography.- Index.

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Product Details

ISBN:
9780387946771
Editor:
Alligood, Kathleen
Editor:
Sauer, Tim
Editor:
Alligood, Kathleen
Editor:
Sauer, Tim
Editor:
Yorke, J. A.
Author:
Alligood, Kathleen
Author:
Yorke, James A.
Author:
Alligood, Kathleen T.
Author:
Sauer, Tim D.
Editor:
Yorke, J. A.
Publisher:
Springer
Location:
New York :
Subject:
General
Subject:
Mathematical Analysis
Subject:
Chaotic Behavior in Systems
Subject:
Differentiable dynamical systems
Subject:
Mathematics-Popular Chaos and Fractals
Subject:
Analysis
Subject:
Statistical Physics, Dynamical Systems and Complexity
Copyright:
1997
Edition Number:
1
Edition Description:
1997. Corr. 3rd
Series:
Textbooks in Mathematical Sciences
Series Volume:
23
Publication Date:
19961131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
621
Dimensions:
235 x 178 mm 1155 gr
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Product details 621 pages Springer - English 9780387946771 Reviews:
"Synopsis" by , dynamical systems and chaos, including discrete dynamical systems (maps), fractals, and systems of nonlinear differential equations. Computer experiments, designed to be used with many standard software packages, are included throughout and each chapter ends with a discussion or tour through an advanced topic. 224 illus., 25 in color.
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