Title: Types of escapes in a simple Hamiltonian system
Abstract: When the energy of the orbits in a Hamiltonian system is larger than the escape energy many (but not all) orbits escape. The proportion of escaping orbits and the direction of escape depend on the topology of the asymptotic surfaces of the Lyapunov periodic orbits (orbits at the throats of the various escape channels). We study the topology of these asymptotic surfaces in the Hamiltonian H = 1/2[(dx/dt) 2 + (dy/dt) 2 + x 2 + y 2 ) - ex 2 y 2 , which has 4 escape channels. We find the basins of escape towards different directions, and of fast and slow escape for various values of the perturbation parameter e. These basins are either broad regions, or elongated bands, spiralling around the center
Publication Year: 1992
Publication Date: 1992-01-01
Language: en
Type: article
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Cited By Count: 45
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