Synchronization and control of coupled reaction–diffusion systems of the FitzHugh–Nagumo type

We consider a FitzHugh–Nagumo reaction–diffusion type system (FHN). The dynamics of the reaction part induces a unique repulsive stationary point (0,0)(0,0) and a unique attractive limit cycle. After a description of the asymptotic behaviour of the FHN system, we deal with the synchronization and control analysis of NN coupled FHN systems.