Bifurcation analysis of a periodically forced relaxation oscillator: Differential model versus phase-resetting map

in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2009), 79(1),

Standing waves in the FitzHugh-Nagumo model of cardiac electrical activity.

in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2006), 73(2 Pt 1), 021908

When excitable media are submitted to appropriate time dependent boundary conditions, a standing wavelike pattern can be observed in the system, as shown in recent experiments. In the present analysis ... [more ▼]

When excitable media are submitted to appropriate time dependent boundary conditions, a standing wavelike pattern can be observed in the system, as shown in recent experiments. In the present analysis, the physical mechanism explaining the occurrence of such space-time patterns is shown to be a competition between Ohmic diffusion and an action potential propagation across the system, coupled with the existence of refractory states for excitable media. [less ▲]