Paul Glendinning

Stability, Instability and Chaos (eBook, PDF)

An Introduction to the Theory of Nonlinear Differential Equations

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 25. November 1994
• Englisch
• ISBN-13: 9781316046937
• Artikelnr.: 44011334

Inhaltsangabe

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.