Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations: 11 (Cambridge Texts in Applied Mathematics, Series Number 11)

Glendinning, Paul

ISBN 10: 0521425662 / ISBN 13: 9780521425667

Published by Cambridge University Press, 1994

About this Item

An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation. Series Editor(s): Ablowitz, Mark J.; Davis, S. H.; Hinch, E. J.; Iserles, A.; Ockendon, J.; Olver, Peter J. Series: Cambridge Texts in Applied Mathematics. Num Pages: 404 pages, line diagrams. BIC Classification: PBKJ. Category: (U) Tertiary Education (US: College). Dimension: 230 x 152 x 24. Weight in Grams: 602. . 1994. Illustrated. paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521425667

Bibliographic Details

• Title: Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations: 11 (Cambridge Texts in Applied Mathematics, Series Number 11)
• Publisher: Cambridge University Press
• Publication Date: 1994
• Language: English
• ISBN 10: 0521425662
• ISBN 13: 9780521425667
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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.