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

by Paul Glendinning (Author) "The stability of solutions of differential equations can be a very difficult property to pin down..." (more)
Key Phrases: Hopf Bifurcation Theorem, Poincare's Linearization Theorem, Poincare-Bendixson Theorem (more...)
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Editorial Reviews
Review
"a coherent application-oriented account of both classical and contemporary theory of nonlinear differential equations...Recommended." D.E. Bentil, Choice

"[Glendinning] has succeeded admirably. The book has a vigorous style. Readers will appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be....This book is likely to become a standard undergraduate mathematics text in nonlinear differential equations." Edward Ott, Nature

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

Product Description
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.

See all Editorial Reviews

Product Details

Inside This Book (learn more)
First Sentence:
The stability of solutions of differential equations can be a very difficult property to pin down. Read the first page
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hopf Bifurcation Theorem, Poincare's Linearization Theorem, Poincare-Bendixson Theorem, Sharkovskii's Theorem, Bounding Lemma, Consider Example
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
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