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Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations (Cambridge Texts in Applied Mathematics, Series Number 11) - Hardcover
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.
"synopsis" may belong to another edition of this title.
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.
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.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1994
- ISBN 10 0521415535
- ISBN 13 9780521415538
- BindingHardcover
- LanguageEnglish
- Number of pages402
- Rating
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