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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics)

 
Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics)
ISBN: 0521425662
ISBN13: 9780521425667

Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics)

• By: Paul Glendinning : Series edited by Mark J. Ablowitz ; S.H. Davis ; E.J. Hinch ; A. Iserles ; J. Ockendon ; Peter J. Olver
• Publisher: Cambridge University Press
• Format: Paperback

Our Price: 40.00

 

Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics)
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.


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.


Brief Description:

An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.