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Dale's Principle has historically guided neuroscience research as a valuable rule of thumb, namely that all synapses on each neuron release the same set of neurotransmitters. Most existing Spiking Neuron Network models share this…

Neurons and Cognition · Quantitative Biology 2026-02-27 Ross Ah-Weng , Hardik Rajpal

We show analytically using a macrospin approximation that easy-plane spin Hall nano-oscillators excited by a spin-current polarized perpendicularly to the easy-plane have phase dynamics analogous to that of Josephson junctions. Similarly to…

Disordered Systems and Neural Networks · Physics 2022-01-19 Danijela Marković , Matthew W. Daniels , Pankaj Sethi , Andrew D. Kent , Mark D. Stiles , Julie Grollier

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

We consider a superconducting coplanar waveguide resonator where the central conductor is interrupted by a series of uniformly spaced Josephson junctions. The device forms an extended medium that is optically nonlinear on the single photon…

Mesoscale and Nanoscale Physics · Physics 2015-02-18 Martin Leib , Michael J. Hartmann

We study here the semiclassical dynamics of a superconducting circuit constituted by two Josephson junctions in series, in the presence of a voltage bias. We derive the equations of motion for the circuit through a Hamiltonian description…

Quantum Physics · Physics 2024-02-19 Davide Stirpe , Juuso Manninen , Francesco Massel

Superconducting circuits based on Josephson junctions exhibit macroscopic quantum coherence and can behave like artificial atoms. Recent technological advances have made it possible to implement atomic-physics and quantum-optics experiments…

Quantum Physics · Physics 2015-06-04 J. Q. You , Franco Nori

Event-based cameras are raising interest within the computer vision community. These sensors operate with asynchronous pixels, emitting events, or "spikes", when the luminance change at a given pixel since the last event surpasses a certain…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Javier Cuadrado , Ulysse Rançon , Benoît Cottereau , Francisco Barranco , Timothée Masquelier

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Spiking neural networks have been referred to as the third generation of artificial neural networks where the information is coded as time of the spikes. There are a number of different spiking neuron models available and they are…

Neural and Evolutionary Computing · Computer Science 2011-09-14 Evangelos Stromatias

Superconductor digital electronics using Josephson junctions as ultrafast switches and magnetic-flux encoding of information was proposed over 30 years ago as a sub-terahertz clock frequency alternative to semiconductor electronics based on…

Superconductivity · Physics 2016-06-03 Sergey K. Tolpygo

In this paper a model of neural circuit in the brain has been proposed which is composed of cyclic sub-circuits. A big loop has been defined to be consisting of a feed forward path from the sensory neurons to the highest processing area of…

Neurons and Cognition · Quantitative Biology 2007-06-16 Kaushik Majumdar

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

The voltage-conductance kinetic model for the collective behavior of neurons has been studied by scientists and mathematicians for two decades, but the rigorous analysis of its solution structure has been only partially obtained in spite of…

Analysis of PDEs · Mathematics 2022-03-08 José A. Carrillo , Xu'an Dou , Zhennan Zhou

We consider a system consisting of two delay differential equations with a large parameter, modeling the association of a pair of neurooscillators. The unknown functions describe the changes in the normalized membrane potentials of neurons…

Exactly Solvable and Integrable Systems · Physics 2024-07-15 Margarita Preobrazhenskaia , Vera Zelenova

Spiking Neural Networks (SNNs) have incorporated more biologically-plausible structures and learning principles, hence are playing critical roles in bridging the gap between artificial and natural neural networks. The spikes are the sparse…

Neural and Evolutionary Computing · Computer Science 2020-10-08 Xiang Cheng , Tielin Zhang , Shuncheng Jia , Bo Xu

We study an abstracted model of neuronal activity via numerical simulation, and report spatiotemporal pattern formation and critical like dynamics. A population of pulse coupled, discretised, relaxation oscillators is simulated over…

Neurons and Cognition · Quantitative Biology 2019-04-24 Dionysios Georgiadis , Didier Sornette

Neuromorphic computing and spiking neural networks (SNN) mimic the behavior of biological systems and have drawn interest for their potential to perform cognitive tasks with high energy efficiency. However, some factors such as temporal…

Hardware Architecture · Computer Science 2021-05-10 Haowen Fang , Brady Taylor , Ziru Li , Zaidao Mei , Hai Li , Qinru Qiu

In this thesis we study short Josephson junctions which include a region with Rashba spin-orbit coupling effect. Our junctions consists of two superconductors (S) and a 2-dimensional electron gas (2DEG) layer between them: S/2DEG/S…

Superconductivity · Physics 2019-10-01 A. F. Tzortzakakis , N. Flytzanis

We propose a biologically inspired model of spiking neurons based on the dynamics of a damped, driven pendulum. Unlike traditional models such as the Leaky Integrate-and-Fire (LIF) neurons, the pendulum neuron incorporates second-order,…

Neural and Evolutionary Computing · Computer Science 2025-07-31 Joy Bose