Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool the geometric theory of differentiable dynamical systems, moderately excited chaotic systems require new tools,
Soliton as Strange Attractor: Nonlinear Synchronization and Chaos
โ Scribed by Soto-Crespo, J. M.; Akhmediev, Nail
- Book ID
- 120786097
- Publisher
- The American Physical Society
- Year
- 2005
- Tongue
- English
- Weight
- 534 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0031-9007
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behaviour of the flow determined b
This is the only book at this level to embrace a universal approach to three major developments in classical physics, namely nonlinear waves, solitons and chaos. A comprehensive treatment of instabilities is followed by a study of the nonlinear structures arising from them. Examples of these are coh