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More About This Textbook
Overview
A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.
Editorial Reviews
From the Publisher
"This is a volume in the series Cambridge Texts in Applied mathematics. It is an introduction to the theories of bifurcation and chaos. It treats the solution of nonlinear equations, especially difference and ordinary differential equations, as the parameter varies..." Quarterly of Applied Mathematics"...can be used as an effective text to introduce the topics involved with nonlinear dynamics." Subhash C. Sinha, Applied Mechanics Review
"...a useful book which contains an abundance of interesting problems and so will be of immense value to anyone planning a course on the subject." Tom Mullin, The Times Higher Education Supplement
"...we have not yet seen in the literature any generally accepted textbooks...It seems to me that this book is an honest and praiseworthy attempt to fill precisely this educational gap. In my opinion, it is quite successful in this regard, and its aim to attract and stimulate the curious student of applied sciences is largely fulfilled....well-written and well equipped to serve as a text, from which teachers and students will find much to draw upon in order to improve their working knowledge of nonlinear dynamics and chaos....I highly recommend it." Tassos Bountis, Mathematical Reviews
"The strength of this book lies in its examples and exercises. Each topic is illustrated with marvelously detailed examples, and there is a total of 214 exercises with many solutions and hints." Joseph Gruendler, SIAM Review
Product Details
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Table of Contents
1. Introduction; 2. Classification of bifurcations of equilibrium solutions; 3. Difference equations; 4. Some special topics; 5. Ordinary differential equations; 6. Second-order autonomous ordinary differential systems; 7. Forced oscillations; 8. Chaos; Bibliography; Index.