The movement of large amounts ions (e.g., potassium, sodium and calcium) in the nervous system triggers time-varying electromagnetic fields that further regulate firing activity neurons. Accordingly, discharge states a modified Hindmarsh–Rose (HR) neuron model under an electric field are studied by numerical simulation. By using Matcont software package its programming, global basins attraction for analyzed, it is found has coexistence oscillation pattern hidden behavior caused subcritical...

The time-varying electric fields generated by continuously pumping and transmitting calcium, potassium sodium ions in cells not only affect the discharge activity of neurons, but also induce magnetic to further regulate fluctuation ions. According Maxwell's electromagnetic field theory, can stimulate each other electrophysiological environment inside outside produce field. In order explore rhythm transition neurons under influence fields, a five-dimensional (5D) HR neuron model (EMFN for...

Electromagnetic induction and autapse play important roles in regulating the electric activities, excitability, bistable structure of neurons. The firing activities global bifurcation patterns a four-dimensional (4D) hybrid neuron model that combines fast dynamic variables Wilson slow feedback Hindmarsh–Rose (HR) magnetic flux are investigated based on Matcont software numerical calculation. effect electrical evolution system is also discussed emphatically. Upon encountering electromagnetic...

Neurons are connected through synapses, but it is not reasonable to equate the connection mode of synapses an edge in network due synaptic plasticity whereas magnetic field coupling can be considered handle it. Therefore, this paper, interaction between HR neurons realized by based on induction coil, and time delay introduced represent lag information transfer. First, coexisting firing activities synchronization behaviors dual neuronal networks numerically calculated, respectively, depending...

This paper presents a detailed investigation of stochastic stability and complex dynamics centrifugal governor system with approximately uniform color noise. The excited by noise is transformed into Itö equation using polar coordinate transformation average method. According to the boundary conditions attraction repulsion, ensured. In addition, analyses concerning influence parameter variation validity are carried out employing numerical results manifest that effects intensity correlation...

Reliable neuron models play an essential role in identifying the electrical activities, global bifurcation patterns, and dynamic mechanisms of neurons electromagnetic environments. Considering that memristive autapse can characterize self-induced effect neurons, a five-dimensional Hindmarsh–Rose (HR) model involving electric magnetic fields is established. The detailed existence stability analyses for equilibrium points are performed, complex time-varying stability, saddle-node bifurcation,...

Neurons contain a large number of ions inside and outside the cell, transmembrane currents formed by movement these cause membrane potential fluctuations induce electromagnetism cell. In addition, any change in external electromagnetic fields can changes neurons. Therefore, based on three-dimensional Hindmarsh — Rose (HR) neuron model, five-dimensional model with time delay is developed this paper introducing flux electric field variables considering resulting delay. First, Hopf bifurcation...

The electromagnetic induction induced by neuron membrane potential plays an important role in regulating its electrical activities, bistability and hidden dynamics. In this paper, a nonsmooth threshold control strategy is proposed, which the utilized as to determine switching function corresponding intensity external stimulus current. Consequently, four-dimensional Filippov-type HR model established. First, existence, stability global bifurcation behaviors of equilibrium points two...

Electromagnetic induction plays a key role in regulating the electrical activity, excitability, and bistable structure of neurons. In this paper, discontinuous control strategy with membrane potential as threshold is introduced to HR neuron model under influence electromagnetic field (EMFN model), then we establish Filipov EMFN realize regulation effect on system. Specific work paper reads follows: first, existence stability equilibrium points two subsystems are analyzed by using MatCont...

Considering the existence of magnetic induction effect with different intensities in process subthreshold and suprathreshold oscillations bioelectrical activities, a non-smooth feedback strategy for memristive current time delay is proposed, then four-dimensional Filippov Hindmarsh–Rose (HR) neuron model established. The local stability bifurcation patterns delayed subsystems are qualitatively analyzed. Accordingly, discriminant formula direction periodic solutions generated by Hopf obtained...

Abstract Reliable neuron models play an important role in identifying the electrical activities, global bifurcation patterns, and dynamic mechanisms of neurons complex electromagnetic environments. Considering memristive autapse involving magnetic coupling has voltage-controlled, nonlinear, memory, a 5-D HR model containing field electric variables is established. Detailedly, existence stability conditions equilibrium point are determined by theoretical analysis, time-varying stability,...