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We analyze the effect of weak-noise-induced transitions on the dynamics of the FitzHugh-Nagumo neuron model in a bistable state consisting of a stable fixed point and a stable unforced limit cycle. Bifurcation and slow-fast analysis give…

Dynamical Systems · Mathematics 2017-06-02 Marius E. Yamakou , Jürgen Jost

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

Electrotactile feedback is a promising method for delivering haptic sensations, but challenges such as the naturalness of sensations hinder its adoption in commercial devices. In this study, we introduce a novel device that enables the…

Human-Computer Interaction · Computer Science 2025-02-27 Amirhossein Bayat , Melika Emami , Rahim Tafazolli , Atta Quddus

We examine traveling-wave solutions on a regular ring network with one additional long-range link that spans a distance d. The nodes obey the FitzHugh-Nagumo kinetics in the excitable regime. The additional shortcut induces a plethora of…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Thomas Isele , Benedikt Hartung , Philipp Hövel , Eckehard Schöll

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Neuromorphic computing, inspired by the brain's parallel and energy-efficient processing, offers a transformative approach to artificial intelligence. In this study, we fabricated optimized spin-transfer torque nano-oscillators (STNOs) and…

Here we present a study of stochastic resonance in an extended FitzHugh-Nagumo system with a field dependent activator diffusion. We show that the system response (here measured through the output signal-to-noise ratio) is enhanced due to…

Soft Condensed Matter · Physics 2009-11-11 C. J. Tessone , H. S. Wio

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

Neurons and Cognition · Quantitative Biology 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

Spiking Neural Networks have earned increased recognition in recent years owing to their biological plausibility and event-driven computation. Spiking neurons are the fundamental building components of Spiking Neural Networks. Those neurons…

Neural and Evolutionary Computing · Computer Science 2025-06-04 Amr Nabil , T. Nandha Kumar , Haider Abbas F. Almurib

Numerical calculations have been made on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by synapses and axons with time delay. The recurrent excitatory-excitatory, inhibitory-inhibitory, excitatory-inhibitory, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

Neurons and Cognition · Quantitative Biology 2016-10-31 Eugenio Urdapilleta

The response of a neural cell to an external stimulus can follow one of the two patterns: Nonresonant neurons monotonously relax to the resting state after excitation while resonant ones show subthreshold oscillations. We investigate how do…

Neurons and Cognition · Quantitative Biology 2009-11-10 T. Verechtchaguina , L. Schimansky-Geier , I. M. Sokolov

This paper presents in-depth analysis of the excitable membranes of a biological system. We rigorously prove from the Chay neuron model that the state dependent voltage-sensitive potassium ion-channel and calcium sensitive potassium…

Systems and Control · Electrical Eng. & Systems 2020-05-13 Maheshwar Sah , Ram Kaji Budhathoki

Sensory arrays made of coupled excitable elements can improve both their input sensitivity and dynamic range due to collective non-linear wave properties. This mechanism is studied in a neural network of electrically coupled (e.g. via gap…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mauro Copelli , Antonio C. Roque , Rodrigo F. Oliveira , Osame Kinouchi

We study a simple map as a minimal model of excitable cells. The map has two fast variables which mimic the behavior of class I neurons, undergoing a sub-critical Hopf bifurcation. Adding a third slow variable allows the system to present…

Neurons and Cognition · Quantitative Biology 2007-05-23 M. Copelli , M. H. R. Tragtenberg , O. Kinouchi

Mixed-signal neuromorphic systems represent a promising solution for solving extreme-edge computing tasks without relying on external computing resources. Their spiking neural network circuits are optimized for processing sensory data…

Neural and Evolutionary Computing · Computer Science 2023-07-13 Arianna Rubino , Matteo Cartiglia , Melika Payvand , Giacomo Indiveri

Neural coupled oscillators are a useful building block in numerous models and applications. They were analyzed extensively in theoretical studies and more recently, in biologically realistic simulations of spiking neural networks. The…

Emerging Technologies · Computer Science 2021-09-16 Renate Krause , Joanne J. A. van Bavel , Chenxi Wu , Marc A. Vos , Alain Nogaret , Giacomo Indiveri

Photonic Spiking Neural Networks (PSNN) composed of the co-integrated CMOS and photonic elements can offer low loss, low power, highly-parallel, and high-throughput computing for brain-inspired neuromorphic systems. In addition,…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Yun-Jhu Lee , Mehmet Berkay On , Luis El Srouji , Li Zhang , Mahmoud Abdelghany , S. J. Ben Yoo

This paper presents a novel FPGA-based neuromorphic cochlea, leveraging the general-purpose spike-coding algorithm, Spiketrum. The focus of this study is on the development and characterization of this cochlea model, which excels in…

Signal Processing · Electrical Eng. & Systems 2025-06-03 MHD Anas Alsakkal , Jayawan Wijekoon

We analyze the dynamics of a network of electrically coupled, modified FitzHugh-Nagumo (FHN) oscillators. The network building-block architecture is a bidimensional squared array shaped as a torus, with unidirectional nearest neighbor…

Dynamical Systems · Mathematics 2015-03-20 Adrian C. Murza