Dissipative chaotic scattering
- 20 December 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 65 (1) , 015205
- https://doi.org/10.1103/physreve.65.015205
Abstract
We show that weak dissipation, typical in realistic situations, can have a metamorphic consequence on nonhyperbolic chaotic scattering in the sense that the physically important particle-decay law is altered, no matter how small the amount of dissipation. As a result, the previous conclusion about the unity of the fractal dimension of the set of singularities in scattering functions, a major claim about nonhyperbolic chaotic scattering, may not be observable.Keywords
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This publication has 16 references indexed in Scilit:
- Crises, sudden changes in chaotic attractors, and transient chaosPublished by Elsevier ,2002
- Algebraic decay and fluctuations of the decay exponent in Hamiltonian systemsPhysical Review A, 1992
- Quantum manifestations of chaotic scatteringPhysical Review Letters, 1992
- Fractal dimension in nonhyperbolic chaotic scatteringPhysical Review Letters, 1991
- Transition to chaotic scatteringPhysical Review A, 1990
- A simple model for chaotic scattering: I. Classical theoryPhysica D: Nonlinear Phenomena, 1989
- Scattering from a classically chaotic repellorThe Journal of Chemical Physics, 1989
- Chaotic scattering modelled by an inclined billiardPhysica D: Nonlinear Phenomena, 1988
- Poincare map for scattering statesJournal of Physics A: General Physics, 1986
- Long-time correlations in the stochastic regimePhysica D: Nonlinear Phenomena, 1983