Special Session 81: Stochastic Modeling in Biological, Physical and Social Sciences: Theory and Applications

Synchronization of stochastic complex networks of reaction-diffusion equations

Hakima Bessaih
Florida International University
USA
Co-Author(s):    Verena Kopp
Abstract:
We consider a network consisting of a system of stochastic reaction-diffusion equations with a special coupling. This includes a stochastic coupling. We prove that after a certain time, all elements of the network exhibit the same behavior. Hence, the system synchronizes.