Stability, Instability and Chaos
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.
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.
| Pm Supplier | CUP/ Cambridge University Press |
|---|---|
| Pm Publisher | Cambridge University Press |
| Pm Isbn 10 | 0521425662 |
| Pm Isbn 13 | 9780521425667 |
| Pm Publication Date | 1994-11-25 |
| Pm Width | 153 |
| Pm Author | Glendinning, P |
| Pm Height | 25 |
| Pm Longness | 227 |
- Author: Glendinning, P
- Page Count: 402
Stability, Instability and Chaos
- Author: Glendinning, P
- Page Count: 402
