Characterizing the Response of Chaotic Systems
โ Scribed by Giacomelli, Giovanni; Barland, Stephane; Giudici, Massimo; Politi, Antonio
- Book ID
- 126843676
- Publisher
- The American Physical Society
- Year
- 2010
- Tongue
- English
- Weight
- 413 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0031-9007
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For systems in thermal equilibrium or systems with a Gaussian equilibrium distribution the response to small perturbations can be computed via a fluctuation-dissipation theorem from the correlations. For general open systems, especially systems with a low-dimensional chaotic attractor, this approach
A phase plane invariant of the Lorenz and other systems, undergoing chaos, has been presented. Numerical experiments show that this invariant is independent of the initial conditions and depends on the structure and parameters of the chaotic systems. There are some potential applications of this res