Abstract
When certain near-integrable Hamiltonian systems are perturbed by weak dissipation, all persistent chaotic motion is destroyed. However, transiently chaotic motion appears before the trajectories enter underlying Hamiltonian islands and are attracted into sinks. We determine analytically such properties as the exponential decay rate of the chaotic transient, the quasistatic distribution for the transiently chaotic region of phase space, and the distribution of trajectories into the various sinks. The dissipative Fermi map is used as an illustrative example.
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