Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations (Paperback)
Language: English
Published by Cambridge University Press, Cambridge, 1995
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 92.49
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Paperback. This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensions to higher dimensions. It is also intended to stimulate new developments, relating the theory of fractal dimensions to bifurcations, and concerning homoclinic bifurcations as generators of chaotic dynamics. To this end the authors finish the book with an account of recent research and point out future prospects. The book begins with a review chapter giving background material on hyperbolic dynamical systems. The next three chapters give a detailed treatment of a number of examples, Smale's description of the dynamical consequences of transverse homoclinic orbits and a discussion of the subordinate bifurcations that accompany homoclinic bifurcations, including Henon-like families. The core of the work is the investigation of the interplay between homoclinic tangencies and non-trivial basic sets. The fractal dimensions of these basic sets turn out to play an important role in determining which class of dynamics is prevalent near a bifurcation. The authors provide a new, more geometric proof of Newhouse's theorem on the coexistence of infinitely many periodic attractors, one of the deepest theorems in chaotic dynamics. Based on graduate courses, this unique book will be an essential purchase for students and research workers in dynamical systems, and also for scientists and engineers applying ideas from chaos theory and nonlinear dynamics. A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780521475723
- Title
- Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations (Paperback)
- Author
- Jacob Palis
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 1995
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0521475724
- ISBN 13
- 9780521475723
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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