Chaos in Dynamical Systems

New edition of the best-selling graduate textbook on chaos for scientists and engineers.

Edward Ott (Author)

9780521010849, Cambridge University Press

Paperback, published 22 August 2002

492 pages, 243 b/w illus. 2 tables
24.6 x 18.9 x 2.5 cm, 0.86 kg

'The book is a comprehensive text and covrs all aspects of dynamical systems in a highly readable account.' Mathematics Today

Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.

Preface
1. Introduction and overview
2. One-dimensional maps
3. Strange attractors and fractal dimensions
4. Dynamical properties of chaotic systems
5. Nonattracting chaotic sets
6. Quasiperiodicity
7. Chaos in Hamiltonian systems
8. Chaotic transitions
9. Multifractals
10. Control and synchronization of chaos
11. Quantum chaos.

Subject Areas: Nonlinear science [PBWR], Applied mathematics [PBW]