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This paper presents an investigation of the dynamics of two coupled non-identical FitzHugh-Nagumo neurons with delayed synaptic connection. We consider coupling strength and time delay as bifurcation parameters, and try to classify all…

Dynamical Systems · Mathematics 2015-10-07 Niloofar Farajzadeh Tehrani , MohammadReza Razvan

Many central neurons, and in particular certain brainstem aminergic neurons exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz. A large number of ion channel types contribute to such spiking so that accurate…

Neurons and Cognition · Quantitative Biology 2015-08-25 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

The efficient coding theory postulates that single cells in a neuronal population should be optimally configured to efficiently encode information about a stimulus subject to biophysical constraints. This poses the question of how multiple…

Neurons and Cognition · Quantitative Biology 2023-08-11 Shuai Shao , Markus Meister , Julijana Gjorgjieva

An electronic circuit device, inspired on the FitzHugh-Nagumo model of neuronal excitability, was constructed and shown to operate with characteristics compatible with those of biological sensory neurons. The nonlinear dynamical model of…

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic…

Pattern Formation and Solitons · Physics 2009-11-13 E. Schoell , G. Hiller , P. Hoevel , M. A. Dahlem

It has long been debated whether information in the brain is coded at the rate of neuronal spiking or at the precise timing of single spikes. Although this issue is essential to the understanding of neural signal processing, it is not…

Neurons and Cognition · Quantitative Biology 2014-02-17 Yasuhiro Mochizuk , Shigeru Shinomoto

We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the…

Biological Physics · Physics 2009-11-13 D. Valenti , G. Augello , B. Spagnolo

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

The timing of individual neuronal spikes is essential for biological brains to make fast responses to sensory stimuli. However, conventional artificial neural networks lack the intrinsic temporal coding ability present in biological…

Neural and Evolutionary Computing · Computer Science 2020-11-18 Iulia M. Comsa , Krzysztof Potempa , Luca Versari , Thomas Fischbacher , Andrea Gesmundo , Jyrki Alakuijala

The success of deep learning in the past decade is partially shrouded in the shadow of adversarial attacks. In contrast, the brain is far more robust at complex cognitive tasks. Utilizing the advantage that neurons in the brain communicate…

Neurons and Cognition · Quantitative Biology 2023-06-12 Jianhao Ding , Zhaofei Yu , Tiejun Huang , Jian K. Liu

We show that in a drive-response coupling framework extreme events are suppressed in the response system by the dominance of a single driving signal. We validate this approach across three distinct response network topologies, namely (i) a…

Chaotic Dynamics · Physics 2026-02-03 R. Shashangan , S. Sudharsan , Dibakar Ghosh , M. Senthilvelan

Spiking neural networks (SNNs), a brain-inspired computing paradigm, are emerging for their inference performance, particularly in terms of energy efficiency and latency attributed to the plasticity in signal processing. To deploy SNNs in…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Sizhen Bian , Elisa Donati , Michele Magno

We consider a two-layer multiplex network of diffusively coupled FitzHugh-Nagumo (FHN) neurons in the excitable regime. It is shown, in contrast to SISR in a single isolated FHN neuron, that the maximum noise amplitude at which SISR occurs…

Adaptation and Self-Organizing Systems · Physics 2019-08-28 Yamakou E. Marius , Juergen Jost

Neurons encode and transmit information in spike sequences. However, despite the effort devoted to quantify their information content, little progress has been made in this regard. Here we use a nonlinear method of time-series analysis…

Neurons and Cognition · Quantitative Biology 2020-02-19 Cristian Estarellas , Maria Masoliver , Cristina Masoller , Claudio Mirasso

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

We study two delay-coupled FitzHugh-Nagumo systems, introducing a mismatch between the delay times, as the simplest representation of interacting neurons. We demonstrate that the presence of delays can cause periodic oscillations which…

Adaptation and Self-Organizing Systems · Physics 2009-11-12 Anastasiia Panchuk , Markus Dahlem , Eckehard Schöll

The brain produces rhythms in a variety of frequency bands. Some are likely by-products of neuronal processes; others are thought to be top-down. Produced entirely naturally, these rhythms have clearly recognizable beats, but they are very…

Dynamical Systems · Mathematics 2020-06-09 Benjamin Ambrosio , Lai-Sang Young

The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of neurons has led to the hypothesis that these neural networks…

Neurons and Cognition · Quantitative Biology 2023-12-29 Logan A. Becker , Baowang Li , Nicholas J. Priebe , Eyal Seidemann , Thibaud Taillefumier

The paper addresses the problem of parameter estimation (or identification) in dynamical networks composed of an arbitrary number of FitzHugh-Nagumo neuron models with diffusive couplings between each other. It is assumed that only the…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Aleksandra Rybalko , Alexander Fradkov