Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations / Edition 1

Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations / Edition 1

by Paul Glendinning
     
 

ISBN-10: 0521425662

ISBN-13: 9780521425667

Pub. Date: 04/28/1994

Publisher: Cambridge University Press

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

Overview

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.

Product Details

ISBN-13:
9780521425667
Publisher:
Cambridge University Press
Publication date:
04/28/1994
Series:
Cambridge Texts in Applied Mathematics Series, #11
Edition description:
New Edition
Pages:
404
Product dimensions:
5.98(w) x 8.98(h) x 0.91(d)

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.

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