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We study the dynamics of a low-dimensional system of coupled model neurons as a step towards understanding the vastly complex network of neurons in the brain. We analyze the bifurcation structure of a system of two model neurons with…

Dynamical Systems · Mathematics 2019-03-27 Elizabeth N. Davison , Zahra Aminzare , Biswadip Dey , Naomi Ehrich Leonard

We propose a dynamical approach to quantum memories using a synchronous oscillator-cavity model, in which the coupling is shaped in time to provide the optimum interface to a symmetric input pulse. This overcomes the known difficulties of…

Quantum Physics · Physics 2014-05-09 Q. Y. He , M. D. Reid , P. D. Drummond

Artificial neural networks and computational neuroscience models have made tremendous progress, allowing computers to achieve impressive results in artificial intelligence (AI) applications, such as image recognition, natural language…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Giacomo Indiveri , Yulia Sandamirskaya

We characterize numerically the regime of anticipated synchronization in the coupled FitzHugh-Nagumo model for neurons. We consider two neurons, coupled unidirectionally (in a master-slave configuration), subject to the same random external…

Condensed Matter · Physics 2009-11-07 Raul Toral , C. Masoller , Claudio R. Mirasso , M. Ciszak , O. Calvo

We study a system of differential equation simulating transport phenomena in active structured media. The model is a generalization of the McKean s modification of the celebrated FitzHugh--Nagumo system, describing the nerve impulse…

Mathematical Physics · Physics 2015-06-11 Wojciech Likus , Vsevolod A. Vladimirov

We present a novel model designed for resource-efficient multichannel speech enhancement in the time domain, with a focus on low latency, lightweight, and low computational requirements. The proposed model incorporates explicit spatial and…

Sound · Computer Science 2024-01-17 Ashutosh Pandey , Buye Xu

Neuromorphic photonics promises sub-nanosecond latency, ultrawide bandwidth, and high parallelism, but practical scalability is constrained by fabrication tolerances, spectral alignment, and tuning energy. Here, we present a large-scale,…

This paper examines the reconstruction of a family of dynamical systems with neuromorphic behavior using a single scalar time series. A model of a physiological neuron based on the Hodgkin-Huxley formalism is considered. Single time series…

Pattern Formation and Solitons · Physics 2024-11-12 Pavel V. Kuptsov , Nataliya V. Stankevich

In this paper we present a computational model which decodes the spatio-temporal data from electro-physiological measurements of neuronal networks and reconstructs the network structure on a macroscopic domain, representing the connectivity…

Quantitative Methods · Quantitative Biology 2025-02-14 Ilya Auslender , Lorenzo Pavesi

In the pursuit of scalable and energy-efficient neuromorphic devices, recent research has unveiled a novel category of spiking oscillators, termed "thermal neuristors." These devices function via thermal interactions among neighboring…

Disordered Systems and Neural Networks · Physics 2024-07-12 Yuan-Hang Zhang , Chesson Sipling , Erbin Qiu , Ivan K. Schuller , Massimiliano Di Ventra

We propose a dynamical approach to quantum memories using an oscillator-cavity model. This overcomes the known difficulties of achieving high quantum input-output fidelity with storage times long compared to the input signal duration. We…

Quantum Physics · Physics 2013-05-29 Q. Y. He , M. D. Reid , E. Giacobino , J. Cviklinski , P. D Drummond

The synapses of real neural systems seem to have delays. Therefore, it is worthwhile to analyze associative memory models with delayed synapses. Thus, a sequential associative memory model with delayed synapses is discussed, where a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Seiji Miyoshi , Hiro-Fumi Yanai , Masato Okada

We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new approach to model of coupling which is implemented by smooth…

Dynamical Systems · Mathematics 2018-12-05 Alexander G. Korotkov , Alexey O. Kazakov , Tatiana A. Levanova , Grigory V. Osipov

Conceptual and mathematical models of neurons have lagged behind empirical understanding for decades. Here we extend previous work in modeling biological systems with fully scale-independent quantum information-theoretic tools to develop a…

Neurons and Cognition · Quantitative Biology 2022-07-21 Chris Fields , James F. Glazebrook , Michael Levin

Despite rapid progress in live-imaging techniques, many complex biophysical and biochemical systems remain only partially observable, thus posing the challenge to identify valid theoretical models and estimate their parameters from an…

Biological Physics · Physics 2023-09-21 George Stepaniants , Alasdair D. Hastewell , Dominic J. Skinner , Jan F. Totz , Jörn Dunkel

We study associative memory neural networks based on the Hodgkin-Huxley type of spiking neurons. We introduce the spike-timing-dependent learning rule, in which the time window with the negative part as well as the positive part is used to…

Disordered Systems and Neural Networks · Physics 2009-11-07 Masahiko Yoshioka

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

Many biological systems can sense periodical variations in a stimulus input and produce well-timed, anticipatory responses after the input is removed. Such systems show memory effects for retaining timing information in the stimulus and…

Neurons and Cognition · Quantitative Biology 2015-09-09 Ying-Jen Yang , Chun-Chung Chen , Pik-Yin Lai , C. K. Chan

We propose a novel method to reconstruct phase dynamics equations from responses in macroscopic variables to weak inputs. Developing linear and nonlinear response theories in coupled phase-oscillators, we derive formulae which connect the…

Adaptation and Self-Organizing Systems · Physics 2023-01-06 Yoshiyuki Y. Yamaguchi , Yu Terada

Quantitative cardiac magnetic resonance T1 and T2 mapping enable myocardial tissue characterisation but the lengthy scan times restrict their widespread clinical application. We propose a deep learning method that incorporates a time…

Signal Processing · Electrical Eng. & Systems 2023-10-02 Fanwen Wang , Michael Tanzer , Mengyun Qiao , Wenjia Bai , Daniel Rueckert , Guang Yang , Sonia Nielles-Vallespin