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We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

We study the influence of correlations among discrete stochastic excitatory or inhibitory inputs on the response of the FitzHugh-Nagumo neuron model. For any level of correlation the emitted signal exhibits at some finite noise intensity a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Kreuz , Stefano Luccioli , Alessandro Torcini

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied. When the neurons are set in the subthreshold regime near the firing threshold, the additive noise induces limit cycles. The coherence of the system is…

Biological Physics · Physics 2009-10-31 Yuqing Wang , David T. W. Chik , Z. D. Wang

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…

Adaptation and Self-Organizing Systems · Physics 2021-12-07 Florian Bönsel , Patrick Krauss , Claus Metzner , Marius E. Yamakou

We study the effect of spatially correlated noise on coherence resonance (CR) in a Watts-Strogatz small-world network of Fitz Hugh-Nagumo neurons, where the noise correlation decays exponentially with distance between neurons. It is found…

Disordered Systems and Neural Networks · Physics 2009-11-11 Okyu Kwon , Hang-Hyun Jo , Hie-Tae Moon

We systematically investigate the phenomena of coherence resonance in time-delay coupled networks of FitzHugh-Nagumo elements in the excitable regime. Using numerical simulations, we examine the interplay of noise, time-delayed coupling and…

Adaptation and Self-Organizing Systems · Physics 2017-10-25 Maria Masoliver , Nishant Malik , Eckehard Schöll , Anna Zakharova

We show that multiplexing allows to control noise-induced dynamics of multilayer networks in the regime of stochastic resonance. We illustrate this effect on an example of two- and multi-layer networks of bistable overdamped oscillators. In…

Adaptation and Self-Organizing Systems · Physics 2023-01-04 Vladimir V. Semenov , Anna Zakharova

Inverse stochastic resonance (ISR) is a phenomenon where noise reduces rather than increases the firing rate of a neuron, sometimes leading to complete quiescence. ISR was first experimentally verified with cerebellar Purkinje neurons.…

Adaptation and Self-Organizing Systems · Physics 2024-10-18 Marius E. Yamakou , Jinjie Zhu , Erik A. Martens

Self-induced stochastic resonance (SISR) is the emergence of coherent oscillations in slow-fast excitable systems driven solely by noise, without external periodic forcing or proximity to a bifurcation. This work presents a physics-informed…

Machine Learning · Computer Science 2026-01-29 Divyesh Savaliya , Marius E. Yamakou

Electrical and chemical synapses shape the dynamics of neural networks and their functional roles in information processing have been a longstanding question in neurobiology. In this paper, we investigate the role of synapses on the…

Neurons and Cognition · Quantitative Biology 2020-06-16 Marius E. Yamakou , Poul G. Hjorth , Erik A. Martens

The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an optimal response in terms of regularity of the excited…

Adaptation and Self-Organizing Systems · Physics 2021-03-24 Emre Baspinar , Leonhard Schülen , Simona Olmi , Anna Zakharova

Recently, it is observed [Md. Nurujjaman et al, Phy. Rev. E \textbf{80}, 015201 (R) (2009)] that in an excitable system, one can maintain noise induced coherency in the coherence resonance by blocking the destructive effect of the noise on…

Chaotic Dynamics · Physics 2010-03-17 Md. Nurujjaman

We investigate delay-induced collective dynamics in a two-layer multiplex FitzHugh Nagumo network with nonlocal intra layer coupling and delayed inter layer interactions. While delay effects are often treated as secondary, we show that…

Biological Physics · Physics 2026-05-07 Hui Wu

We study remote (or relay) synchronization in multilayer networks between parts of one layer and their counterparts in a second layer, where these two layers are not directly connected. A simple realization of such a system is a triplex…

Adaptation and Self-Organizing Systems · Physics 2019-01-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

Noise induced order in excitable systems has diverse manifestations, such as coherence resonance (CR) and stochastic resonance. In this context a less explored phenomenon is self-induced stochastic resonance (SISR). Unlike CR, SISR may…

Adaptation and Self-Organizing Systems · Physics 2023-08-09 Taniya Khatun , Tanmoy Banerjee

We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex network consisting of two non-identical layers. More…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 Leonhard Schuelen , David A. Janzen , Everton S. Medeiros , Anna Zakharova

The impact of inhibitory and excitatory synapses in delay-coupled Hodgkin--Huxley neurons that are driven by noise is studied. If both synaptic types are used for coupling, appropriately tuned delays in the inhibition feedback induce…

Neurons and Cognition · Quantitative Biology 2012-05-01 Qingyun Wang , Honghui Zhang , Matjaz Perc , Guanrong Chen

We investigate the synchronization dynamics of two coupled noise-driven FitzHugh-Nagumo systems, representing two neural populations. For certain choices of the noise intensities and coupling strength, we find cooperative stochastic…

Adaptation and Self-Organizing Systems · Physics 2025-07-29 Philipp Hövel , Sarang A. Shah , Markus A. Dahlem , Eckehard Schöll

Efficient processing and transfer of information in neurons have been linked to noise-induced resonance phenomena such as coherence resonance (CR), and adaptive rules in neural networks have been mostly linked to two prevalent mechanisms:…

Neurons and Cognition · Quantitative Biology 2023-04-26 Marius E. Yamakou , Christian Kuehn

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

Biological Physics · Physics 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi
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