``Neuron" synchronization: An experiment and its mathematical explanation

N. MARTINEZ, G. A. ZARZA, A. D. SÁNCHEZ, G. G. IZÚS, M. G. DELL'ERBA, Y R. R. DEZA

Comodoro Rivadavia

Congreso; VI Congreso de Matemática Aplicada, Computacional e Industrial (VI MACI ? 2017),; 2017

ASAMACI (Asociación Argentina de Matemática Aplicada, Computacional e Industrial) y ARSIAM (Sección argentina de Society for Industrial and Applied Mathematics)

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 system?s ?nonequilibrium potential??defined from the stationary solution of its Fokker?Planck equation?and the adiabatic approximation.