Stability, Instability And Chaos: An Introduction to the Theory of Nonlinear Differential Equations by Paul GlendinningStability, Instability And Chaos: An Introduction to the Theory of Nonlinear Differential Equations by Paul Glendinning

Stability, Instability And Chaos: An Introduction to the Theory of Nonlinear Differential Equations

byPaul Glendinning

Paperback | November 25, 1994

Pricing and Purchase Info

$106.68

Earn 533 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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 Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.
Title:Stability, Instability And Chaos: An Introduction to the Theory of Nonlinear Differential EquationsFormat:PaperbackDimensions:404 pages, 8.98 × 5.98 × 0.91 inPublished:November 25, 1994Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521425662

ISBN - 13:9780521425667

Reviews

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.

From Our Editors

This book examines qualitative methods for nonlinear differential equations, bifurcation theory and chaos in terms suitable for advanced undergraduate and first-year postgraduate students in mathematics and physics. Starting from the idea of phase space, the structure of solutions near hyperbolic stationary points and periodic orbits in investigated. Then, after a brief discussion of perturbation methods and nonlinear oscillators, the theory of nonhyperbolic stationary points, bifurcations and chaos is described.

Editorial Reviews

"...full of excellent and appropriate examples and virtually empty of errors." J. Brindley, The Bulletin of the Institute of Mathematics and its Applications