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Chaos

An Introduction to Dynamical Systems

  • Textbook
  • © 1996

Overview

Part of the book series: Textbooks in Mathematical Sciences (TIMS)

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Table of contents (13 chapters)

Keywords

About this book

Chaos: An Introduction 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.

Reviews

From the reviews:

"… Written by some prominent contributors to the development of the field … 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 … There are several aspects of the book that distinguish it from some other recent contributions in this area … 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

 

Authors and Affiliations

  • George Mason University, USA

    Kathleen T. Alligood, Tim D. Sauer

  • University of Maryland, USA

    James A. Yorke

About the authors



Bibliographic Information

  • Book Title: Chaos

  • Book Subtitle: An Introduction to Dynamical Systems

  • Authors: Kathleen T. Alligood, Tim D. Sauer, James A. Yorke

  • Series Title: Textbooks in Mathematical Sciences

  • DOI: https://doi.org/10.1007/b97589

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1996

  • Softcover ISBN: 978-0-387-94677-1Published: 07 November 1996

  • eBook ISBN: 978-0-387-22492-3Published: 06 April 2006

  • Series ISSN: 1431-9381

  • Edition Number: 1

  • Number of Pages: XVII, 603

  • Topics: Analysis, Complex Systems, Statistical Physics and Dynamical Systems

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