Chemical synaptic multiplexing enhances rhythmicity in neuronal networks

Kundu, Srilena; Majhi, Soumen; Ghosh, Dibakar

doi:10.1007/s11071-019-05277-y

Cited by 28 publications

(13 citation statements)

References 65 publications

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“…However, as the fraction of inactive nodes increase, the system collectively transitions to a state where there is no significant “active” dynamical behaviour in the system. AT was first observed in Stuart-Landau (SL) oscillators 20 and later in many systems like globally coupled networks 21 , 22 , locally coupled oscillators 23 , fractional order SL oscillators 24 , Hindmarsh-Rose neurons 25 – 27 and time-delayed interaction systems 28 among others. The nature of AT from the active state of the network to the inactive state can be gradual, monotonic or explosive and depends on several key parameters associated with the problem.…”

Section: Introductionmentioning

confidence: 99%

Ageing transitions in a network of Rulkov neurons

Biswas

Gupta

2022

Sci Rep

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The phenomenon of ageing transitions (AT) in a Erdős–Rényi network of coupled Rulkov neurons is studied with respect to parameters modelling network connectivity, coupling strength and the fractional ratio of inactive neurons in the network. A general mean field coupling is proposed to model the neuronal interactions. A standard order parameter is defined for quantifying the network dynamics. Investigations are undertaken for both the noise free network as well as stochastic networks, where the interneuronal coupling strength is assumed to be superimposed with additive noise. The existence of both smooth and explosive AT are observed in the parameter space for both the noise free and the stochastic networks. The effects of noise on AT are investigated and are found to play a constructive role in mitigating the effects of inactive neurons and reducing the parameter regime in which explosive AT is observed.

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Section: Introductionmentioning

confidence: 99%

Ageing transitions in a network of Rulkov neurons

Biswas

Gupta

2022

Sci Rep

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“…In the last decade, this Nowak–May model has been extended under several conditions to maximize cooperation [ 32 ]. In this context, the introduction of multilayer networks [ 33 , 34 , 35 , 36 , 37 , 38 , 39 ] opened up a new direction to explore [ 40 ], which helps to understand how information available in one network layer affects the behavior of the other network layer [ 41 ]. Multilayer network already captures the spotlight to evaluate the impact of network of networks on the evolution of cooperation [ 42 , 43 , 44 ].…”

Section: Introductionmentioning

confidence: 99%

Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation

Chowdhury

Kundu

Duh

et al. 2020

Entropy

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Evolutionary game theory in the realm of network science appeals to a lot of research communities, as it constitutes a popular theoretical framework for studying the evolution of cooperation in social dilemmas. Recent research has shown that cooperation is markedly more resistant in interdependent networks, where traditional network reciprocity can be further enhanced due to various forms of interdependence between different network layers. However, the role of mobility in interdependent networks is yet to gain its well-deserved attention. Here we consider an interdependent network model, where individuals in each layer follow different evolutionary games, and where each player is considered as a mobile agent that can move locally inside its own layer to improve its fitness. Probabilistically, we also consider an imitation possibility from a neighbor on the other layer. We show that, by considering migration and stochastic imitation, further fascinating gateways to cooperation on interdependent networks can be observed. Notably, cooperation can be promoted on both layers, even if cooperation without interdependence would be improbable on one of the layers due to adverse conditions. Our results provide a rationale for engineering better social systems at the interface of networks and human decision making under testing dilemmas.

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“…Till now studies have focussed on dynamical robustness by considering different coupling topologies of the network or using different coupling functions 5,[19][20][21] . Some possible remedial measures have also been proposed by some researchers to enhance the dynamical robustness [22][23][24] .…”

Section: Introductionmentioning

confidence: 99%

“…Most of these studies are based on Stuart-Landau limit cycle oscillator which describes dynamics near a a) Electronic mail: biswambhar.rakshit@gmail.com b) Electronic mail: niveditha.rajendrakumar@gmail.com c) Electronic mail: b bipin@cb.amrita.edu supercritical Hopf bifurcation. Nevertheless, Kundu et al studied the aging transition in ecological as well as neuronal model 13,19 . In 13 authors have studied the aging transition in a metapopulation where as in 19 authors have shown the effects of chemical synapse to enhance the robustness in a multiplex network.…”

Section: Introductionmentioning

confidence: 99%

“…Nevertheless, Kundu et al studied the aging transition in ecological as well as neuronal model 13,19 . In 13 authors have studied the aging transition in a metapopulation where as in 19 authors have shown the effects of chemical synapse to enhance the robustness in a multiplex network. To the best of our knowledge till now aging transition has not been well studied for relaxation oscillators.…”

Section: Introductionmentioning

confidence: 99%

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Dangerous Aging Transition in a Network of Coupled Oscillators

Rakshit,

Rajendrakumar,

Balaram

2020

Preprint

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In this article, we investigate the dynamical robustness in a network of relaxation oscillators. In particular, we consider a network of diffusively coupled Van der Pol oscillators to explore the aging transition phenomena. Our investigation reveals that the mechanism of aging transition in a network of Van der Pol oscillator is quite different from that of typical sinusoidal oscillators such as Stuart-Landau oscillators. Unlike sinusoidal oscillators, the order parameter does not follow the second-order phase transition. Rather we observe an abnormal phase transition of the order parameter due to sudden unbounded trajectories at a critical point. We call it a dangerous aging transition. We provide details bifurcation analysis of such abnormal phase transition. We show that the boundary crisis of a limit-cycle oscillator is at the helm of such a dangerous aging transition.

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Chemical synaptic multiplexing enhances rhythmicity in neuronal networks

Cited by 28 publications

References 65 publications

Ageing transitions in a network of Rulkov neurons

Ageing transitions in a network of Rulkov neurons

Cooperation on Interdependent Networks by Means of Migration and Stochastic Imitation

Dangerous Aging Transition in a Network of Coupled Oscillators

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