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I am trying to look for a stochastic resonance in a system described by Langevin equation and a periodic forcing. While I can simulate an SDE numerically I have no idea how to calculate the 'signal to noise ratio' which quantifies the stochastic resonance. I use python for my computations. Thank you very much in advance.

The equation is of the form $$\frac{dx}{dt}=-U'(x)+Acos \Omega t+\xi(t)$$

Vip
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  • can you provide more details? is this a model from a paper? What is $U'$? Is the model supposed to be nonlinear? – Quillo Feb 18 '23 at 15:22
  • See also: R Benzi et al 1981 J. Phys. A: Math. Gen. 14 L453 "The mechanism of stochastic resonance": they invoke some kind of nonlinearity: $U'(x)=-x(a -x^2)$. https://iopscience.iop.org/article/10.1088/0305-4470/14/11/006/meta – Quillo Feb 18 '23 at 15:36

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