Unstable discrete modes in Hindmarsh–Rose neural networks under magnetic flow effect

Tabi, Conrad Bertrand; Etémé, Armand Sylvin; Mohamadou, Alidou; Kofané, Timoléon Crépin

doi:10.1016/j.chaos.2019.03.028

Cited by 27 publications

(9 citation statements)

References 56 publications

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“…e sensitivity of the chaotic system to the initial value makes the input changes of the chaotic system be reflected in the output rapidly, so the chaos theory provides a more realistic nonlinear modeling method [2]. Chaos theory has been proved to be of great significance in a series of critical applications [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Introducing a Chaotic Component in the Control System of Soil Respiration

Wang

Chen

et al. 2020

Complexity

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Chaos theory has been proved to be of great significance in a series of critical applications although, until now, its applications in analyzing soil respiration have not been addressed. This study aims to introduce a chaotic component in the control system of soil respiration and explain control complexity of this nonlinear chaotic system. This also presents a theoretical framework for better understanding chaotic components of soil respiration in arid land. A concept model of processes and mechanisms associated with subterranean CO2 evolution are developed, and dynamics of the chaotic system is characterized as an extended Riccati equation. Controls of soil respiration and kinetics of the chaotic system are interpreted and as a first attempt, control complexity of this nonlinear chaotic system is tackled by introducing a period-regulator in partitioning components of soil respiration.

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Section: Introductionmentioning

confidence: 99%

Introducing a Chaotic Component in the Control System of Soil Respiration

Wang

Chen

et al. 2020

Complexity

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“…In fact, appropriate firing modes in isolated neuron and effective synapse coupling are critical to induce collective behaviors of neural networks for the functional regions, and thus safe body gaits can be regulated. That is, the collective neural activities of nervous system described by neural network [1][2][3][4][5] are dependent on the local kinetics and connection topology as well. Therefore, reliable biophysical neuron models and adjustable coupling channels are important to approach biological neurons and synaptic plasticity in the nervous system.…”

Section: Introductionmentioning

confidence: 99%

Enhance sensitivity to illumination and synchronization in light-dependent neurons*

Xie

Yao

et al. 2021

Chinese Phys. B

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When a phototube is activated to connect a neural circuit, the output voltage becomes sensitive to external illumination because the photocurrent across the phototube can be controlled by external electromagnetic wave. The channel currents from different branch circuits have different impacts on the outputs voltage of the neural circuit. In this paper, a phototube is incorporated into different branch circuits in a simple neural circuit, and then a light-controlled neuron is obtained for further nonlinear analysis. Indeed, the phototube is considered as exciting source when it is activated by external illumination, and two kinds of light-sensitive neurons are obtained when the phototube is connected to capacitor or induction coil, respectively. Electric synapse coupling is applied to detect possible synchronization between two functional neurons, and the energy consumption along the coupling channel via resistor is estimated. The analog circuits for the two kinds of light-sensitive neurons are supplied for further confirmation by using Multisim. It is found that two light-sensitive neurons and neural circuits can be synchronized by taming the coupling intensity carefully. It provides possible clues to understand the synchronization mechanism for eyes and artificial sensors which are sensitive to illumination. Finally, a section for open problems is supplied for further investigation about its collective behaviors in the network with/without synapse coupling.

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“…However, studies regarding the transmission of the information taking into account the regulation of HC activity still lack, the same as the studies on the influence of this regulation on the chimera state [25] , [26] , [27] , [28] , [29] , [30] , [31] . Chimera state represents a peculiar collective behavior of coupled identical oscillators characterized by the coexistence of coherent or synchronized and incoherent or unsynchronized groups.…”

Section: Introductionmentioning

confidence: 99%

Long-range interaction effects on coupled excitable nodes: traveling waves and chimera state

Soh

Tchitnga

Woafo

2021

Heliyon

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In this paper, analytical and numerical studies of the influence of the long-range interaction parameter on the excitability threshold in a ring of FitzHugh-Nagumo (FHN) system are investigated. The long-range interaction is introduced to the network to model regulation of the Gap junctions or hemichannels activity at the connexins level, which provides links between pre-synaptic and post-synaptic neurons. Results show that the long-range coupling enhances the range of the threshold parameter. We also investigate the long-range effects on the network dynamics, which induces enlargement of the oscillatory zone before the excitable regime. When considering bidirectional coupling, the long-range interaction induces traveling patterns such as traveling waves, while when considering unidirectional coupling, the long-range interaction induces multi-chimera states. We also studied the difference between the dynamics of coupled oscillators and coupled excitable neurons. We found that, for the coupled system, the oscillation period decreases with the increasing of the coupling parameter. For the same values of the coupling parameter, the oscillation period of the Oscillatory dynamics is greater than the oscillation period of the excitable dynamics. The analytical approximation shows good agreement with the numerical results.

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Unstable discrete modes in Hindmarsh–Rose neural networks under magnetic flow effect

Cited by 27 publications

References 56 publications

Introducing a Chaotic Component in the Control System of Soil Respiration

Introducing a Chaotic Component in the Control System of Soil Respiration

Enhance sensitivity to illumination and synchronization in light-dependent neurons*

Long-range interaction effects on coupled excitable nodes: traveling waves and chimera state

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