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 Y R. R. DEZA

Ourense

Congreso; FisEs; 2014

We study the synchronization properties of a ring of N units with excitable FitzHugh?Nagumo dynamics, when the inhibitor fields of nearest-neighbor units are coupled diffusively (electriccoupling). The system is submitted to a common subthreshold adiabatic signal S(t), and independent Gaussian white noises with common variance eta. By running numerical integrations with increasing eta, we observe the excitation activity to become spatiotemporally self organized, until eta is so strong that spoils sync. By means of a two cell model and projecting the dynamics along the slow manifolds, we obtain a (signal dependent) potential landscape which explains qualitatively the sync regime, and whose barrier heights give a good estimate of the optimal noise intensity.