Stability, instability and chaos : an introduction to the theory of nonlinear differential equations
著者
書誌事項
Stability, instability and chaos : an introduction to the theory of nonlinear differential equations
（Cambridge texts in applied mathematics）
Cambridge University Press, 1994
- : hc
- : pbk
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: pbk002272169,
An Introduction to the Theory of Nonlinear Differential Equations413.65 || G49002272169 -
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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