Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations / Edition 1

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Overview

By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.
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Editorial Reviews

From the Publisher
"a coherent application-oriented account of both classical and contemporary theory of nonlinear differential equations...Recommended." D.E. Bentil, Choice

"[Glendinning] has succeeded admirably. The book has a vigorous style. Readers will appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be....This book is likely to become a standard undergraduate mathematics text in nonlinear differential equations." Edward Ott, Nature

"...full of excellent and appropriate examples and virtually empty of errors." J. Brindley, The Bulletin of the Institute of Mathematics and its Applications

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Product Details

  • ISBN-13: 9780521425667
  • Publisher: Cambridge University Press
  • Publication date: 11/28/1994
  • Series: Cambridge Texts in Applied Mathematics Series , #11
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 404
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.91 (d)

Table of Contents

1. Introduction; 2. Stability; 3. Linear differential systems; 4. Linearization and hyperbolicity; 5. Two-dimensional dynamics; 6. Periodic orbits; 7. Perturbation theory; 8. Bifurcation theory I: stationary points; 9. Bifurcation theory II: periodic orbits and maps; 10. Bifurcational miscellany; 11. Chaos; 12. Global bifurcation theory.
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