Stability, Instability and Chaos : An Introduction to the Theory of Nonlinear Differential Equations
Book Details
Format
Paperback / Softback
Book Series
Cambridge Texts in Applied Mathematics
ISBN-10
0521425662
ISBN-13
9780521425667
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 25th, 1994
Print length
404 Pages
Weight
602 grams
Dimensions
23.00 x 15.20 x 2.40 cms
Product Classification:
Differential calculus & equations
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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.
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.
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