DECAY OF METASTABLE STATES WITH DISCRETE DYNAMICS

We consider the escape from invariant sets of one-dimensional piecewis e linear maps which are additively disturbed by weak Gaussian white no ise. The escape rates from point attractors and from strange invariant sets in the vicinity of the crisis at fully developed chaos are analy tically determined and compared with results from numerical simulation s. Both situations are combined resulting in a model with a point attr actor which has a strange invariant set as basin boundary. Numerically a nonexponential decay of the attractor is found that can be describe d by a Markovian three-state model with transition rates known from th e previous analysis.