# Exit time asymptotics for dynamical systems with fast random switching near an unstable equilibrium

@article{Bakhtin2019ExitTA,
title={Exit time asymptotics for dynamical systems with fast random switching near an unstable equilibrium},
author={Yuri Bakhtin and Alexisz Tam'as Ga'al},
journal={Stochastics and Dynamics},
year={2019}
}
• Published 16 January 2019
• Mathematics
• Stochastics and Dynamics
We consider the exit problem for a one-dimensional system with random switching near an unstable equilibrium point of the averaged drift. In the infinite switching rate limit, we show that the exit time satisfies a limit theorem with a logarithmic deterministic term and a random correction converging in distribution. Thus, this setting is in the universality class of the unstable equilibrium exit under small white-noise perturbations.
1 Citations
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