Nonlinear waves in a Fitz Hugh{Nagumo model: repetition-rate scaling, chaotization and rhythm disruption

The results of numerical simulation of wave propagation in the Fitz Hugh{Nagumo model by using a finite-difference method are given. We consider two types of the boundary conditions: periodic conditions and the conditions corresponding to zero deviations of the system variables from their equilibrium values. Depending on these conditions either in-phase self-oscillations or running and standing waves are obtained. The new effects of repetition-rate scaling and rhythm disruption are found.