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Chaos

An Introduction to Dynamical Systems

Kathleen T. Alligood Tim D. Sauer James A. Yorke

$152.95   $122.40

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English
Springer Verlag
01 October 2000
Chaos: An Intoduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. 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 to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.

By:   , ,
Imprint:   Springer Verlag
Country of Publication:   United States
Dimensions:   Height: 254mm,  Width: 178mm,  Spine: 33mm
Weight:   1.603kg
ISBN:   9780387946771
ISBN 10:   0387946772
Series:   Textbooks in Mathematical Sciences
Publication Date:  
Audience:   College/higher education ,  Primary & secondary/elementary & high school ,  Secondary ,  A / AS level
Format:   Paperback
Publisher's Status:   Active
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.

Reviews for Chaos: An Introduction to Dynamical Systems

From the reviews: <p> a ] Written by some prominent contributors to the development of the field a ] With regard to both style and content, the authors succeed in introducing junior/senior undergraduate students to the dynamics and analytical techniques associated with nonlinear systems, especially those related to chaos a ] There are several aspects of the book that distinguish it from some other recent contributions in this area a ] The treatment of discrete systems here maintains a balanced emphasis between one- and two- (or higher-) dimensional problems. This is an important feature since the dynamics for the two cases and methods employed for their analyses may differ significantly. Also, while most other introductory texts concentrate almost exclusively upon discrete mappings, here at least three of the thirteen chapters are devoted to differential equations, including the Poincare-Bendixson theorem. Add to this a discussion of $\omega$-limit sets, including periodic and strange attractors, as well as a chapter on fractals, and the result is one of the most comprehensive texts on the topic that has yet appeared. Mathematical Reviews <p>


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