On the Darboux integrability of the Hindmarsh–Rose burster
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-017-5661-1
Abstract: We study the Hindmarsh–Rose burster which can be described by the differential system $$\dot x = y - {x^3} + b{x^2} + I - z,\dot y = 1 - 5{x^2} - y,\dot z = \mu… read more here.
Keywords: rose burster; integrability hindmarsh; darboux integrability; hindmarsh rose ... See more keywords
Synchronization study of Hindmarsh–Rose neuron coupled system based on numerical simulation of time delay
Sign Up to like & getrecommendations! Published in 2017 at "Cluster Computing"
DOI: 10.1007/s10586-017-1063-5
Abstract: This paper studied the synchronization of Hindmarsh–Rose neuron coupled system based on numerical simulation of time delay through theoretical derivation and numerical simulation. Researches found that coupling strength can influence the discharge activity of coupled neuron… read more here.
Keywords: numerical simulation; system; hindmarsh rose; rose neuron ... See more keywords
Traveling wave solutions of diffusive Hindmarsh–Rose-type equations with recurrent neural feedback
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124513
Abstract: Abstract From the perspective of bifurcation theory, this study investigates the existence of traveling wave solutions for diffusive Hindmarsh–Rose-type (dHR-type) equations with recurrent neural feedback (RNF). The applied model comprises two additional terms: 1) a… read more here.
Keywords: hindmarsh rose; wave solutions; solutions diffusive; type equations ... See more keywords
Unified mechanism of inverse stochastic resonance for monostability and bistability in Hindmarsh-Rose neuron.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0041410
Abstract: Noise is ubiquitous and has been verified to play constructive roles in various systems, among which the inverse stochastic resonance (ISR) has aroused much attention in contrast to positive effects such as stochastic resonance. The… read more here.
Keywords: hindmarsh rose; resonance; stochastic resonance; noise induced ... See more keywords
Synchronization in Hindmarsh-Rose neurons subject to higher-order interactions.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0079834
Abstract: Higher-order interactions might play a significant role in the collective dynamics of the brain. With this motivation, we here consider a simplicial complex of neurons, in particular, studying the effects of pairwise and three-body interactions… read more here.
Keywords: synchronization hindmarsh; higher order; hindmarsh rose; order interactions ... See more keywords
Boundary dynamics of a non-smooth memristive Hindmarsh-Rose neuron system.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0107067
Abstract: In this paper, the complex dynamics of non-smooth Hindmarsh-Rose (HR) neuron system with local active memristors is discussed through the theory of discontinuous dynamical system. Six mapping structures through two boundaries are employed to illustrate… read more here.
Keywords: rose neuron; system; dynamics non; neuron system ... See more keywords
Modeling and dynamics of double Hindmarsh–Rose neuron with memristor-based magnetic coupling and time delay
Sign Up to like & getrecommendations! Published in 2021 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac16cc
Abstract: The firing of a neuron model is mainly affected by the following factors: the magnetic field, external forcing current, time delay, etc. In this paper, a new time-delayed electromagnetic field coupled dual Hindmarsh – Rose… read more here.
Keywords: time; rose neuron; magnetic coupling; time delay ... See more keywords
Synchronization of Coupled Hindmarsh-Rose Neuronal Dynamics: Analysis and Experiments
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2021.3106400
Abstract: In neuronal networks, synchronized bursts are of greater significance. These bursts get developed in recurrent networks, astrocytic recycling of neurotransmitters, positive feedback by synapses, and short-term synaptic plasticity. Being inspired by the significance of bursting… read more here.
Keywords: analysis; hindmarsh rose; synchronization coupled; coupled hindmarsh ... See more keywords
Spatiotemporal Patterns in a General Networked Hindmarsh-Rose Model
Sign Up to like & getrecommendations! Published in 2022 at "Frontiers in Physiology"
DOI: 10.3389/fphys.2022.936982
Abstract: Neuron modelling helps to understand the brain behavior through the interaction between neurons, but its mechanism remains unclear. In this paper, the spatiotemporal patterns is investigated in a general networked Hindmarsh-Rose (HR) model. The stability… read more here.
Keywords: spatiotemporal patterns; rose model; general networked; hindmarsh rose ... See more keywords
Hybrid Projective Synchronization of Fractional-Order Extended Hindmarsh-Rose Neurons with Hidden Attractors
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020157
Abstract: In view of the diversity of stimulated current that neurons may experience, an extended Hindmarsh–Rose neuron model is proposed and the corresponding fractional-order neuron model, with no equilibrium point, is depicted. Additionally, various hidden attractors… read more here.
Keywords: extended hindmarsh; hindmarsh rose; fractional order; hidden attractors ... See more keywords