Decay of quasibounded classical Hamiltonian systems populated by scattering events

A. J. FENDRIK AND M. J. SÁNCHEZ

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

IOP

Año: 1995 vol. 28 p. 4235 - 4240

We study numerically the decay of a Hamiltonian system whose transient bounded dynamics is fully chaotic but not necessarily fully hyperbolic when the phase space is initially populated by scattering experiments. We show that parabolic subsets included in the trapped orbits set are related to an algebraic tail corresponding to long times. The characteristic exponent of such a tail and that corresponding to the tail of the decay from the equilibrium population differ by one. This fact, already observed in other non-hyperbolic systems, is related to internal distributions that characterize the internal dynamics of the system.