We propose an extension of the Fitzhugh-Nagumo model, which possesses a regime of
three coexisting stable states: resting equilibrium and two stable oscillatory states. Such a …

This work presents analytical studies of the stiffness nonlinearities SD (smooth and
discontinuous) oscillator under displacement and velocity feedback control with a time …

We analyze the bifurcations occurring in the 3D Hindmarsh-Rose neuronal model with and
without random signal. When under a sufficient stimulus, the neuron activity takes place; we …

Birhythmicity arises in several physical, biological, and chemical systems. Although many
control schemes have been proposed for various forms of multistability, only a few exist for …

Birhythmicity occurs in many natural and artificial systems. In this paper, we propose a self-
feedback scheme to control birhythmicity. To establish the efficacy and generality of the …

The response of the birhythmic fractional Van der Pol (VdP) self-sustained oscillator driven
both by time delay feedbacks and correlated noise is considered. We mainly focus on the …

This paper presents a bifurcation analysis in a stochastic time-delayed birhythmic oscillator
containing fractional derivative. Analytical criterion for birhythmic region is obtained by …

Birhythmicity is evident in many nonlinear systems, which include physical and biological
systems. In some living systems, birhythmicity is necessary for response to the varying …

In this paper, we study a high-order polynomial variation of the van der Pol oscillator
interpreted as a self-sustaining biological system driven by correlated noise. This particular …

We consider a conductance-based neuronal model under the action of electromagnetic
induction on the membrane potential. We focus on the impact of the magnetic flux on the …