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Escape-Rate Response to Noise of All Amplitudes in Leaky Chaos

Escape-Rate Response to Noise of All Amplitudes in Leaky Chaos

We study the effect of noise on the escape rate of chaotic dynamical systems with small openings. While in the noiseless dynamics the escape rate analytically depends on the instability of the shortest periodic orbit inside the hole, adding noise overall enhances escape, which, however, exhibits a non-trivial response to …