Journal ArticleDOI
Energy feedback and synchronous dynamics of Hindmarsh-Rose neuron model with memristor
K. Usha,P. A. Subha +1 more
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This article is published in Chinese Physics B.The article was published on 2019-02-05. It has received 33 citations till now. The article focuses on the topics: Synchronization (computer science) & Memristor.read more
Citations
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Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera
TL;DR: By constructing a ring network of memristor synapse-coupled neuron network, several types of collective behaviors including incoherent, coherent, imperfect synchronization, and chimeraStates are disclosed numerically, which indicate that the chimera states arisen in the ring network are dependent on the memristOr coupling coefficient and sub-network coupling strength.
Journal ArticleDOI
Initial-induced coexisting and synchronous firing activities in memristor synapse-coupled Morris–Lecar bi-neuron network
TL;DR: In this article, a memristor synapse-coupled bi-neuron network with threshold memductance was proposed to couple two neurons for representation of the electromagnetic induction effect triggered by their membrane potential difference.
Journal ArticleDOI
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction
Xinlei An,Xinlei An,Shuai Qiao +2 more
TL;DR: In this article, the discharge patterns of a HR neuron under electromagnetic induction (here called magnetic flux HR neuron system), including hidden, period-add, mixed-mode oscillations and their control are researched by combining theoretical analysis and numerical simulations.
Journal ArticleDOI
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method
Lin Xu,Guoyuan Qi,Jun Ma +2 more
TL;DR: In this paper, the authors proposed a novel 4D HR model with a threshold flux-controlled memristor (MHR), which describes the electromagnetic induction effect and can describe the complex dynamics of neurons' electrical activities with fewer parameters than the existing models.
Journal ArticleDOI
Estimate the electrical activity in a neuron under depolarization field
TL;DR: In this paper, the effects of the amplitude and frequency of the sinusoidal current on the firing mode of the neuron were studied by using bifurcation analysis and it was found that there is a peak of firing interval of neurons with the increasing of stimulation current intensity.
References
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Journal ArticleDOI
A model of neuronal bursting using three coupled first order differential equations.
J. L. Hindmarsh,R. M. Rose +1 more
TL;DR: The equations, which were initially developed to explain isolated triggered bursts, provide one of the simplest models of the more general phenomenon of oscillatory burst discharge.
Journal ArticleDOI
Effects of noise in excitable systems
Benjamin Lindner,Jordi Garcia-Ojalvo,Jordi Garcia-Ojalvo,Alexander Neiman,Alexander Neiman,Lutz Schimansky-Geier,Lutz Schimansky-Geier +6 more
TL;DR: In this article, the behavior of excitable systems driven by Gaussian white noise is reviewed, focusing mainly on those general properties of such systems that are due to noise, and present several applications of their findings in biophysics and lasers.
Journal ArticleDOI
Rapid synchronization through fast threshold modulation
David C. Somers,Nancy Kopell +1 more
TL;DR: The results suggest that the emergent synchronization behavior of oscillating neural networks can be dramatically influenced by the intrinsic properties of the network components.
Journal ArticleDOI
Model of electrical activity in a neuron under magnetic flow effect
TL;DR: A four-variable neuron model is designed to describe the effect of electromagnetic induction on neuronal activities, and this model could be suitable for further investigation of electromagnetic radiation on biological neuronal system.
Journal ArticleDOI
The Hindmarsh-Rose neuron model: bifurcation analysis and piecewise-linear approximations.
TL;DR: These results can be used both to design a circuit implementation of the Hindmarsh-Rose model mimicking the diversity of neural response and as guidelines to predict the behavior of the model as well as its circuit implementation as a function of parameters.
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A model of neuronal bursting using three coupled first order differential equations.
J. L. Hindmarsh,R. M. Rose +1 more