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Paper detail

A random dynamical systems perspective on stochastic resonance

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.

preprint2015arXivOpen access
Anna Maria CherubiniJeroen S. W. LambMartin RasmussenYuzuru Sato
math.DS
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Anna Maria CherubiniJeroen S. W. LambMartin RasmussenYuzuru Sato

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