An Introduction to Dynamical Systems

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

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

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Pages 43-104
  3. Pages 105-147
  4. Pages 149-191
  5. Pages 231-271
  6. Pages 273-327
  7. Pages 447-498
  8. Pages 499-536
  9. Back Matter
    Pages 557-603

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.


calculus chaos computer simulation differential equation nonlinear dynamics simulation

Authors and affiliations

  • Kathleen T. Alligood
    • 1
  • Tim D. Sauer
    • 1
  • James A. Yorke
    • 2
  1. 1.George Mason UniversityUSA
  2. 2.University of MarylandUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94677-1
  • Online ISBN 978-0-387-22492-3
  • Series Print ISSN 1431-9381
  • Buy this book on publisher's site