Stochastic-resonant spatiotemporal patterns in a FitzHugh-Nagumo ring with electric inhibitory coupling: A reduced gradient description

A.D. SÁNCHEZ; G.G. IZÚS; M.G. DELL'ERBA; R.R. DEZA

Ourense

Congreso; XIX Congreso de Física Estadística, FisEs '14; 2014

We study from the nonequilibrium-potential (NEP) viewpoint, the self-organization induced by local noises with common variance η?which includes synchronization with a global, periodic, adiabatic and subthreshold signal S(t)?of networks of excitable elements with FitzHugh?Nagumo (FHN) dynamics. After having coupled (chemically or electrically) their activator fields in antiphase fashion, we study electric coupling (in phase, with strength E) between nearest-neighbors? inhibitor fields. Excitability allows us to set a threshold uth (its precise value is irrelevant as far as it lies within some interval), call cell i active if ui > uth and define the (time-dependent) activity as the average number of active cells.