Chaos in Dynamical Systems
In the new edition of this classic textbook Ed 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.
- The only graduate level textbook on chaos, suitable for physicists, engineers and applied mathematicians
- New edition of the successful textbook which established itself as the classic on the subject
- Completely revised, it contains new material and many more homework problems
Reviews & endorsements
"...a stimulating selection of topics that could be taught a la carte in postgraduate courses. The book is given unity by a preoccupation with scaling arguments, but covers almost all aspects of the subject (dimensions of strange attractors, transitions to chaos, thermodynamic formalism, scattering quantum chaos and so on...Ott has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems." Nature
"...a book that will be of most interest to physicists and engineers...The book is well written, and does contain material that is hard to find elsewhere. In particular, the discussion of fractal basin boundaries is lucidly written, and this is an important topic." Bulletin of Mathematical Biology
Product details
September 2002Paperback
9780521010849
492 pages
246 × 189 × 25 mm
0.86kg
243 b/w illus. 2 tables
Available
Table of Contents
- 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.