We report on the bifurcation analysis of an extended Hindmarsh–Rose (eHR) neuronal
oscillator. We prove that Hopf bifurcation occurs in this system, when an appropriate chosen …

A discrete memristor is introduced into the Rulkov neuron to mimic biological neuronal
synapse and modify firing dynamics. In the memristive Rulkov neuron, chaotic firing with …

Thanks to their distinct synaptic plasticity and memory effects, memristors not only can mimic
biological neuronal synapses but also can describe the influence of external …

In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …

This paper aims to propose a novel no-equilibrium Hindmarsh–Rose (HR) neuron model
with memristive electromagnetic radiation effect. Compared with other memristor-based HR …

In this article multiple and generic bifurcations of planar discrete-time Hindmarsh-Rose
oscillator are investigated in detail by bifurcation theory and numerical continuation …

This paper presents a novel third-order autonomous memristive diode bridge-based
oscillator with fast-slow effect. Based on the modeling of the presented memristive oscillator …

Since the electrical activities of neurons are closely related to complex electrophysiological
environment in neuronal system, a novel three‐dimensional memristive Hindmarsh–Rose …

This paper provides a global picture of the bifurcation scenario of the Hindmarsh–Rose
model. A combination between simulations and numerical continuations is used to unfold …

The membrane potential difference between two adjacent neurons can induce an
electromagnetic induction current that behaves like a memristor synapse effect using to …