Average exit times in volume preserving maps

Abstract

For a volume preserving map, the exit time, averaged over the incoming set of a region, is given by the ratio of the measure of the accessible subset of the region to that of the incoming set. This result is primarily of interest to show two things: first it gives a simple bound on the algebraic decay exponent of the survival probability. Second, it gives a tool which permits the computation of the measure of the accessible set. We use this to find the measure of the bounded orbits for Hénon's quadratic map.

References in corpus (2)

• Long-Time Correlations in the Stochastic Regime
• Effect of Noise on the Standard Mapping

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