Static charges can induce spatial electric field while moving charges can induce magnetic
field. As a result, continuous pumping and exchange of intercellular and extracellular …

We study the stochastic FitzHugh–Nagumo equations, modelling the dynamics of neuronal
action potentials in parameter regimes characterized by mixed-mode oscillations. The …

Large variety of physical, chemical, and biological systems show excitable behavior,
characterized by a nonlinear response under external perturbations: only perturbations …

A semianalytical dynamical mean-field theory has been developed for a study of dynamics
of an ensemble of N-unit FitzHugh-Nagumo neurons subject to white noises. Assuming …

By using a semianalytical dynamical mean-field approximation previously proposed by the
author [H. Hasegawa, Phys. Rev. E 70, 066107 (2004)], we have studied the …

A small-world (SW) network of similar phase oscillators, interacting according to the
Kuramoto model, is studied numerically. It is shown that deterministic Kuramoto dynamics on …

We develop a model of bistable oscillator with nonlinear dissipation. Using a numerical
simulation and an electronic circuit realization of this system we study its response to …

We introduce a method for systematically reducing the dimension of biophysically realistic
neuron models with stochastic ion channels exploiting time-scales separation. Based on a …

By extending a dynamical mean-field approximation previously proposed by the author [H.
Hasegawa, Phys. Rev. E 67, 041903 (2003)], we have developed a semianalytical theory …

Neuronal oscillators engage into quasiperiodic or phase locked discharges when driven by
a weak periodic signal. These responses contrast with those evoked by weak aperiodic …