Effects of temporally correlated noise on coherence resonance chimeras in FitzHugh-Nagumo neurons

Xu, Ying; Liu, Lulu; Ge, Mengyan; Jia, Ya

doi:10.1140/epjb/e2019-100413-0

Cited by 12 publications

(4 citation statements)

References 67 publications

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“…In addition, the physiological environment around neurons is complex and changeable, the influence of external electromagnetic radiation cannot be ignored. Some recent studies have merely considered the effect of the external electromagnetic radiation [42] or the autapse feedback current [43] on neuronal firing activity. However, this study explores the neuron firing activities under the simultaneous action of autapse feedback current and electromagnetic radiation effect.…”

Section: Neuron Modelmentioning

confidence: 99%

Switchable memristor-based Hindmarsh-Rose neuron under electromagnetic radiation

Zhang,

2024

Nonlinear Dyn

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Memristors are prevalently used to simulate biological neuronal synapses due to their unique memductance plasticity and memory effects. A new switchable memristor, which can be configured as a nonvolatile discrete memristor, a nonvolatile continuum memristor or a volatile memristor by adjusting its internal parameter, is proposed to mimic the autapse of the Hindmarsh-Rose (HR) neuron. In the meantime, a flux-controlled memristor is introduced to simulate the effect of external electromagnetic radiation on the HR neuron, thus, an improved 4D HR neuron model without equilibrium points is developed in this study. The hidden firing activities related to the strength of autapse and the electromagnetic radiation intensity are revealed through phase diagrams, time series, bifurcation diagrams, Lyapunov exponent spectrums, and two-parameter dynamical maps. More interestingly, it is found that the memory attributes of memristive autapse play an important role in the firing activities of the neuron, which can induce the mutual transition among periodic spiking with different frequencies and chaotic firing. Additionally, the transition between periodic and chaotic firing induced by the initial value of the switchable memristor is also discovered when it is configured as three different types of memristors. Finally, a neuron circuit is designed with the current-mode devices to improve accuracy and reduce power consumption. The Multisim simulation results are provided to validate the correctness of the neuron model and the effectiveness of numerical analysis.

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Section: Neuron Modelmentioning

confidence: 99%

Switchable memristor-based Hindmarsh-Rose neuron under electromagnetic radiation

Zhang,

2024

Nonlinear Dyn

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“…In CRC, noise plays a constructive role, which can alternate the switch of the location of coherent and incoherent domains. In most previous works on CRC, noise is usually considered as Gaussian noise [28], such as Gaussian white noise [38], and Gaussian temporally correlated colored noise [39]. Although the α-stable Lévy noise is considered in [27], the paper only focuses on the occurrence of chimera states.…”

Section: Introductionmentioning

confidence: 99%

Coherence-resonance chimeras in coupled HR neurons with alpha-stable Lévy noise

Wang¹,

Li²,

Xu³

et al. 2022

J. Stat. Mech.

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In this paper, we have investigated the collective dynamical behaviors of a network of identical Hindmarsh–Rose neurons that are coupled under small-world schemes upon the addition of α-stable Lévy noise. According to the firing patterns of each neuron, we distinguish the neuronal network into spike state, burst state and spike-burst state coexistence of the neuron with both a spike firing pattern and a burst firing pattern. Moreover, the strength of the burst is proposed to identify the firing states of the system. Furthermore, an interesting phenomenon is observed that the system presents coherence resonance in time and chimera states in space, namely coherence-resonance chimeras (CRC). In addition, we show the influences of α-stable Lévy noise (noise intensity and stable parameter) and the small-world network (the rewiring probability) on the spike-burst state and CRC. We find that the stable parameter and noise intensity of the α-stable noise play a crucial role in determining the CRC and spike-burst state of the system.

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“… 1993 ), coherence resonance (CR) (Xu et al. 2019 ; Gang et al. 1993 ; Pikovsky and Kurths 1997 ; Lindner and Schimansky-Geier 1999 ; Gammaitoni et al.…”

Section: Introductionmentioning

confidence: 99%

Control of noise-induced coherent oscillations in three-neuron motifs

et al. 2021

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The phenomenon of self-induced stochastic resonance (SISR) requires a nontrivial scaling limit between the deterministic and the stochastic timescales of an excitable system, leading to the emergence of coherent oscillations which are absent without noise. In this paper, we numerically investigate SISR and its control in single neurons and three-neuron motifs made up of the Morris–Lecar model. In single neurons, we compare the effects of electrical and chemical autapses on the degree of coherence of the oscillations due to SISR. In the motifs, we compare the effects of altering the synaptic time-delayed couplings and the topologies on the degree of SISR. Finally, we provide two enhancement strategies for a particularly poor degree of SISR in motifs with chemical synapses: (1) we show that a poor SISR can be significantly enhanced by attaching an electrical or an excitatory chemical autapse on one of the neurons, and (2) we show that by multiplexing the motif with a poor SISR to another motif (with a high SISR in isolation), the degree of SISR in the former motif can be significantly enhanced. We show that the efficiency of these enhancement strategies depends on the topology of the motifs and the nature of synaptic time-delayed couplings mediating the multiplexing connections.

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Effects of temporally correlated noise on coherence resonance chimeras in FitzHugh-Nagumo neurons

Cited by 12 publications

References 67 publications

Switchable memristor-based Hindmarsh-Rose neuron under electromagnetic radiation

Switchable memristor-based Hindmarsh-Rose neuron under electromagnetic radiation

Coherence-resonance chimeras in coupled HR neurons with alpha-stable Lévy noise

Control of noise-induced coherent oscillations in three-neuron motifs

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