Types of escapes in a simple Hamiltonian system

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