"NEURON" SYNCHRONIZATION: AN EXPERIMENT AND ITS MATHEMATICAL EXPLANATION

N. MARTINEZ; G. A. ZARZA; A.D. SANCHEZ; G.G. IZÚS; M. G. DELL'ERBA; R. R. DEZA

Comodoro Rivadavia

Congreso; VI Congreso de Matemática Aplicada, Computacional e Industrial - MACI 2019.; 2017

Asociación Argentina de Matemática Aplicada, Computacional e Industrial

We perform an experiment whereby mutually inhibiting electronic analogues of FitzHugh-Nagumo neurons spontaneously synchronize (by effect of noise and coupling) in the presence of a slow sub-threshold harmonic signal. This spatiotemporal self-organization phenomenon is then explained by resort to the systems "nonequilibrium potential" defined from the stationary solution of its Fokker-Planck equation and the adiabatic approximation.