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Analysis and Simulation of Chaotic Systems

  • Textbook
  • © 1993

Overview

Authors:
  1. Frank C. Hoppensteadt

    1. College of Natural Sciences, Michigan State University, East Lansing, USA

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Part of the book series: Applied Mathematical Sciences (AMS, volume 94)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvii
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  2. An Introduction to Nonlinear Systems

    1. Front Matter

      Pages 1-1
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    2. Oscillations of Linear Systems

      • Frank C. Hoppensteadt
      Pages 3-26

    3. Free Oscillations

      • Frank C. Hoppensteadt
      Pages 27-88

    4. Stability of Nonlinear Systems

      • Frank C. Hoppensteadt
      Pages 89-116

    5. Algebraic and Topological Aspects of Nonlinear Oscillations

      • Frank C. Hoppensteadt
      Pages 117-136

  3. Perturbation Methods

    1. Front Matter

      Pages 137-137
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    2. Regular Perturbation Methods

      • Frank C. Hoppensteadt
      Pages 139-156

    3. Forced Oscillations

      • Frank C. Hoppensteadt
      Pages 157-188

    4. Methods of Averaging

      • Frank C. Hoppensteadt
      Pages 189-235

    5. Quasistatic-State Methods

      • Frank C. Hoppensteadt
      Pages 236-287

  4. Back Matter

    Pages 288-306
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Keywords

About this book

Analysis and Simulation of Chaotic Systems is a text designed to be used at the graduate level in applied mathematics for students from mathematics, engineering, physics, chemistry and biology. The book can be used as a stand-alone text for a full year course or it can be heavily supplemented with material of more mathematical, more engineering or more scientific nature. Computations and computer simulations are used throughout this text to illustrate phenomena discussed and to supply readers with probes to use on new problems.

Authors and Affiliations

  • College of Natural Sciences, Michigan State University, East Lansing, USA

    Frank C. Hoppensteadt

Bibliographic Information

  • Book Title: Analysis and Simulation of Chaotic Systems

  • Authors: Frank C. Hoppensteadt

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4757-2275-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • eBook ISBN: 978-1-4757-2275-8Published: 09 March 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XVII, 306

  • Topics: Analysis

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