Stability, instability, and chaos : an introduction to the theory of nonlinear differential equations / Paul Glendinning.
"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...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge [England] ; New York :
Cambridge University Press,
1994.
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| Series: | Cambridge texts in applied mathematics.
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| Subjects: |
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.