Homogenization of Coupled Fast-Slow Systems via Intermediate Stochastic Regularization
Homogenization of Coupled Fast-Slow Systems via Intermediate Stochastic Regularization
In this paper we study coupled fast-slow ordinary differential equations (ODEs) with small time scale separation parameter $\epsilon$ such that, for every fixed value of the slow variable, the fast dynamics are sufficiently chaotic with ergodic invariant measure. Convergence of the slow process to the solution of a homogenized stochastic …