Decay of quasibounded classical Hamiltonian systems and internal dynamics

A.J.FENDRIK , A.RIVAS, AND M. J. SÁNCHEZ

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Año: 1994 vol. 50 p. 1948 - 1958

1539-3755

We study numerically the decay of a Hamiltonian system whose transient bounded dynamics is fully chaotic but non-necessarily fully hyperbolic. We show that the fully hyperbolic character of the trapped orbits is related to a purely exponential decay law, while the existence of parabolic trapped orbits leads to a crossover between an exponential decay and an algebraic decay. We relate the behavior of the decay law to internal distributions that characterize the internal dynamics of the system.