Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise
The authors study the stochastic stability of FitzHugh-Nagumo systems with Gaussian white noise perturbation. First, the dynamics of stochastic FitzHugh-Nagumo systems are studied. Then the authors prove the existence and uniqueness of exponentially mixing invariant measures. Finally, the asymptotic behavior of the invariant measure when the size of the noise tends to zero is investigated.
scientific article; zbMATH DE number 5851373