Self-tuned criticality: Controlling a neuron near its bifurcation point via temporal correlations

DE MORAES, JULIANE T.; TREJO, EYISTO J.A.; CAMARGO, SABRINA; FERREIRA, SILVIO C.; CHIALVO, DANTE R.

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2023 vol. 107

1539-3755

Previous work showed that the collective activity of large neuronal networks can be tamed to remain near its critical point by a feedback control that maximizes the temporal correlations of the mean-field fluctuations. Since such correlations behave similarly near instabilities across nonlinear dynamical systems, it is expected that the principle should control also low-dimensional dynamical systems exhibiting continuous or discontinuous bifurcations from fixed points to limit cycles. Here we present numerical evidence that the dynamics of a single neuron can be controlled in the vicinity of its bifurcation point. The approach is tested in two models: a two-dimensional generic excitable map and the paradigmatic FitzHugh-Nagumo neuron model. The results show that in both cases, the system can be self-tuned to its bifurcation point by modifying the control parameter according to the first coefficient of the autocorrelation function.