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.
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Editorial Reviews
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"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
"[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
Book Description
By providing an introduction to nonlinear differential equations, this text aims to supply the student with the mathematical know-how needed to appreciate stability theory and bifurcations.
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0 of 7 people found the following review helpful:
1.0 out of 5 stars
Waste of Time,
By LIN MAN KAI "K" (Aus) - See all my reviews
This review is from: Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics) (Paperback)
I am using this book for a course in uni.I found it really unreadable. Notations are really slack....will make you so confused. It does not really show you the details..... After reading the book, what you wil get is a bunch of theorems..... which you will not be able to apply in the future..... because assumptions of the theorems were written so ambiguously....that you won't even know how to check whether they are satisfied. Poorly written.....
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Inside This Book
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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 New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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 New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
See all 35 books this book cites
6
books
cite this book:
See all 6 books citing this book
- Differential Equations (with CD-ROM) by Paul Blanchard in Front Matter, Back Matter (1), and Back Matter (2)
- Perturbation Methods (Cambridge Texts in Applied Mathematics) by E. J. Hinch in Front Matter, and Back Matter
- Advanced Calculus, Revised Edition by Loomis in Back Matter
- New Directions in Dynamical Systems (London Mathematical Society Lecture Note Series) by T. Bedford in Back Matter
- Nonlinear Oscillations by Nicholas Minorsky in Back Matter
See all 35 books this book cites
- A Mathematical Bridge: An Intuitive Journey in Higher Mathematics by Stephen Fletcher Hewson in Back Matter
- Nonlinear Dynamics: A Primer by Alfredo Medio in Back Matter
- Systemics of Emergence: Research and Development by Gianfranco Minati on page 372
- Nonlinear And Parametric Phenomena: Theory And Applications In Radiophysical And Mechanical Systems (World Scientific Series on Nonlinear Science, Series a) by Vladimir Damgov in Back Matter
- A Mathematical Bridge: An Intuitive Journey in Higher Mathematics by Stephen Fletcher Hewson in Back Matter
See all 6 books citing this book
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