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Lifetimes of noisy repellors

H. Faisst·B. Eckhardt
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Abstract

We study the effects of additive noise on the lifetimes of chaotic repellors. Using first order perturbation theory we argue that noise will increase the lifetime if the escape holes lie in regions where the unperturbed density is higher than in the immediate vicinity and that it decreases if the density is lower. Numerical experiments support the qualitative conclusions also beyond perturbation theory.

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H. Faisst, B. Eckhardt. 2003-08-27. Lifetimes of noisy repellors. https://doi.org/10.1103/physreve.68.026215

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