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We study the frequency and phase synchronization in two coupled identical and nonidentical neurons with channel noise. The occupation number method is used to model the neurons in the context of stochastic Hodgkin-Huxley model in which the…

Neurons and Cognition · Quantitative Biology 2007-11-07 L. C. Yu , Yong Chen , Pan Zhang

Biological neurons receive multiple noisy oscillatory signals, and their dynamical response to the superposition of these signals is of fundamental importance for information processing in the brain. Here we study the response of neural…

Neurons and Cognition · Quantitative Biology 2017-08-28 Daqing Guo , Matjaz Perc , Yangsong Zhang , Peng Xu , Dezhong Yao

Recently spike timing dependent plasticity was observed in inhibitory synapse in the layer II of entorhinal cortex. The rule provides an interesting zero in the region of $\Delta t=t_{post}-t_{pre}=0$ and in addition the dynamic range of…

Neurons and Cognition · Quantitative Biology 2013-04-24 Sachin S Talathi

Noise has significant impact on nonlinear phenomena. Here we demonstrate that, in opposition to previous assumptions, additive noise interfere with the linear stability of scalar nonlinear systems when these are subject to time delay. We…

Dynamical Systems · Mathematics 2015-06-15 Jérémie Lefebvre , Axel Hutt

Recent experiments suggest that inhibitory networks of interneurons can synchronize the neuronal discharge in in vitro hippocampal slices. Subsequent theoretical work has shown that strong synchronization by mutual inhibition is only…

Statistical Mechanics · Physics 2007-05-23 P. H. E Tiesinga , Jorge V Jose

Coherence resonance (CR), stochastic synchronization (SS), and spike-timing-dependent plasticity (STDP) are ubiquitous dynamical processes in biological neural networks. Whether there exists an optimal network and STDP configuration at…

Neurons and Cognition · Quantitative Biology 2023-01-03 Marius E. Yamakou , Estelle M. Inack

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

We consider a neural field model which consists of a network of an arbitrary number of Wilson-Cowan nodes with homeostatic adjustment of the inhibitory coupling strength and time delayed, excitatory coupling. We extend previous work on this…

Dynamical Systems · Mathematics 2023-11-28 Isam Al-Darabsah , Sue Ann Campbell , Bootan Rahman

Using the model of a FitzHugh-Nagumo system in the excitable regime we investigate the influence of time-delayed feedback on noise-induced chimera states in a network with nonlocal coupling, i.e., coherence resonance chimeras. It is shown…

Adaptation and Self-Organizing Systems · Physics 2018-04-05 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory,…

Statistical Mechanics · Physics 2009-09-29 O. Chichigina , D. Valenti , B. Spagnolo

Collective actuation describes the spontaneous synchronized oscillations taking place in active solids, when the elasto-active feedback, that generically couples the reorientation of the active forces and the elastic stress, is large…

Soft Condensed Matter · Physics 2024-02-27 Paul Baconnier , Vincent Démery , Olivier Dauchot

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

Astounding properties of biological sensors can often be mapped onto a dynamical system in the vicinity a bifurcation. For mammalian hearing, a Hopf bifurcation description has been shown to work across a whole range of scales, from…

Neurons and Cognition · Quantitative Biology 2015-10-13 Florian Gomez , Tom Lorimer , Ruedi Stoop

Spatial coherence resonance in a spatially extended system that is locally modeled by Hodgkin-Huxley (HH) neurons is studied in this paper. We focus on the ability of additive temporally and spatially uncorrelated Gaussian noise to extract…

Chaotic Dynamics · Physics 2008-04-21 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

Living systems implement and execute an extraordinary plethora of computational tasks. The inherent degree of large scale coordination emerges as a global property, from the intricate sea of microscopic interactions. The brain, with its…

Disordered Systems and Neural Networks · Physics 2018-01-03 Duccio Fanelli , Francesco Ginelli , Roberto Livi , Niccolò Zagli , Clement Zankoc

We analyze the decoherence dynamics of a central spin coupled to a spin chain with a time-dependent noisy magnetic field, focusing on how noise influences the system's decoherence. Our results show that decoherence due to the nonequilibrium…

Quantum Physics · Physics 2025-05-22 R. Jafari , A. Asadian , M. Abdi , Alireza Akbari

This study introduces a biologically-inspired model designed to examine the role of coincidence detection cells in speech segregation tasks. The model consists of three stages: a time-domain cochlear model that generates instantaneous rates…

Neurons and Cognition · Quantitative Biology 2024-05-13 Asaf Zorea , Miriam Furst

We studied autoassociative networks in which synapses are noisy on a time scale much shorter that the one for the neuron dynamics. In our model a presynaptic noise causes postsynaptic depression as recently observed in neurobiological…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. J. Torres , J. M. Cortes , J. Marro

We study the control of noise-induced spatio-temporal current density patterns in a semiconductor nanostructure (double barrier resonant tunnelling diode) by multiple time-delayed feedback. We find much more pronounced resonant features of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Niels Majer , Eckehard Schöll

We theoretically investigate the influence of designed pulse sequences in restoring quantum coherence lost due to background noise in superconducting qubits. We consider both 1/f noise and Random Telegraph Noise, and show that the qubit…

Mesoscale and Nanoscale Physics · Physics 2008-06-19 L. Cywinski , R. M. Lutchyn , C. P. Nave , S. Das Sarma