Sango, MamadouWoukeng, Jean Louis2012-05-292012-05-292011Sango, M & Woukeng, JL 2011, 'Stochastic two-scale convergence of an integral functional', Asymptotic Analysis, vol. 73, no. 1/2, pp. 97-123.0921-7134 (print)1875-8576 (online)10.3233/ASY-2011-1038http://hdl.handle.net/2263/18964In this paper we discuss the concept of stochastic two-scale convergence, which is appropriate to solve coupledperiodic and stochastic homogenization problems. This concept is a combination of both well-known two-scale convergence and stochastic two-scale convergence in the mean schemes, and is a generalization of the said previous methods. By way of illustration we apply it to solve a homogenization problem related to an integral functional with convex integrand. This problematic relies on the notion of dynamical system which is our basic tool.en© 2011 – IOS Press and the authors. All rights reserved.Dynamical systemsStochastic two-scale convergenceAttractors (Mathematics)Homogenization (Differential equations)Stochastic differential equationsFunctions, EntirePostprint Article