Journal article
Sensitivity of wave field evolution and manifold stability in chaotic systems
Physical review letters, Vol.88(5), pp.054103-541034
02/04/2002
Handle:
https://hdl.handle.net/2376/114915
PMID: 11863728
Abstract
The sensitivity of a wave field's evolution to small perturbations is of fundamental interest. For chaotic systems, there are two distinct regimes of either exponential or Gaussian overlap decay in time. We develop a semiclassical approach for understanding both regimes and give a simple expression for the crossover time between the regimes. The wave field's evolution is considerably more stable than the exponential instability of chaotic trajectories seems to suggest. The resolution of this paradox lies in the collective behavior of the appropriate set of trajectories. Results are given for the standard map.
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Details
- Title
- Sensitivity of wave field evolution and manifold stability in chaotic systems
- Creators
- Nicholas R Cerruti - Department of Physics, Washington State University, Pullman, Washington 99164-2814, USASteven Tomsovic
- Publication Details
- Physical review letters, Vol.88(5), pp.054103-541034
- Academic Unit
- Physics and Astronomy, Department of
- Publisher
- United States
- Identifiers
- 99900547955001842
- Language
- English
- Resource Type
- Journal article