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Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling
Journal article   Peer reviewed

Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling

Vincent Daniels, Michel Vallieres and Jian-Min Yuan
Chaos (Woodbury, N.Y.), v 3(4), pp 475-485
01 Oct 1993
PMID: 12780053

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
We investigate classical scattering of particles by a double-well potential. Irregularity in the scattering functions, such as scattering angle and escape time, appears when the collision energy is lowered below a threshold value. This threshold is closely related to the appearance of periodic orbits with energies above the potential maxima. We study the scattering as a function of the energy and impact parameter. In this initial parameter space the scattering functions consist of regular regions interlaced with chaotic rivers. A symbolic dynamics has been developed to organize these structures and used to reveal their scaling properties.

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Mathematics, Applied
Physics, Mathematical
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