Stability, instability and chaos : an introduction to the theory of nonlinear differential equations

Author(s)

• Glendinning, Paul

Bibliographic Information

Stability, instability and chaos : an introduction to the theory of nonlinear differential equations

Paul Glendinning

（Cambridge texts in applied mathematics）

Cambridge University Press, 1994

• : hc
• : pbk

Note

Includes bibliographical references and index

Description and Table of Contents

Description

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 Poincare-Bendixson theorem, the Hopf bifurcation and chaotic systems. The unique treatment that is found in this book will prove to be an essential guide to stability and chaos.

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.

by "Nielsen BookData"

Details

• NCID: BA23822953
• ISBN:
  • 0521415535
  • 9780521425667
• LCCN: 94021451
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge ; New York, NY, USA
• Pages/Volumes: xiii, 388 p.
• Size: 24 cm
• Classification:
  • LCC : QA372
  • DC20 : 515/.355
• Subject Headings:
  • LCSH : Differential equations, Nonlinear
  • LCSH : Bifurcation theory
  • LCSH : Chaotic behavior in systems
• Parent Bibliography ID:
  • BA03474162