“NEURON” SYNCHRONIZATION: AN EXPERIMENT AND ITS MATHEMATICAL EXPLANATION

MARTÍNEZ, NATANIEL; G. A. ZARZA; A.D. SANCHEZ; G.G. IZÚS; M. G. DELL'ERBA; DEZA, ROBERTO R.

Matemática Aplicada, Computacional e Industrial

Asociación Argentina de Matemática Aplicada, Computacional e Industrial

Lugar: Santa Fe; Año: 2017 vol. 6 p. 5 - 8

2314-3282

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.