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The output signal is examined for the Jacobi neuronal model which is characterized by input-dependent multiplicative noise. The dependence of the noise on the rate of inhibition turns out to be of primary importance to observe maxima both…

Neurons and Cognition · Quantitative Biology 2019-09-04 Giuseppe D'Onofrio , Petr Lansky , Massimiliano Tamborrino

We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the…

Adaptation and Self-Organizing Systems · Physics 2019-07-17 Lukas Ramlow , Jakub Sawicki , Anna Zakharova , Jaroslav Hlinka , Jens Christian Claussen , Eckehard Schöll

Variability in neural responses is an ubiquitous phenomenon in neurons, usually modeled with stochastic differential equations. In particular, stochastic integrate-and-fire models are widely used to simplify theoretical studies. The…

Neurons and Cognition · Quantitative Biology 2009-06-12 Eugenio Urdapilleta , Ines Samengo

Systems showing stochastic resonance (SR) or coherent resonance (CR) share some features, in particular the nearby periodic character of the signal. We show that in spite of this resemblance the different underlying dynamics can be detected…

Chaotic Dynamics · Physics 2009-11-11 R. Centurelli , S. Musacchio , R. A. Pasmanter , A. Vulpiani

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…

Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output should reproduce the main features of the input to avoid a…

Probability · Mathematics 2022-09-29 Petr Lansky , Federico Polito , Laura Sacerdote

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

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

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

The frequencies of the analytic normal modes for N identical particles are studied as a function of system parameters from the weakly interacting BCS regime to the strongly interacting unitary regime. The normal modes were obtained…

Quantum Gases · Physics 2021-10-04 D. K. Watson

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

We use mean field theory to study the response properties of a simple randomly-connected model cortical network of leaky integrate-and-fire neurons with balanced excitation and inhibition. The formulation permits arbitrary temporal…

Disordered Systems and Neural Networks · Physics 2007-05-23 John Hertz , Barry Richmond , Kristian Nilsen

A semiclassical simulation approach is presented for studying quantum noise in large-scale photonic circuits incorporating an ideal Kerr nonlinearity. A circuit solver is used to generate matrices defining a set of stochastic differential…

Patients at high risk for sudden death often exhibit complex heart rhythms in which abnormal heartbeats are interspersed with normal heartbeats. We analyze such a complex rhythm in a single patient over a 12-hour period and show that the…

We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose…

Condensed Matter · Physics 2009-10-31 C. Palenzuela , R. Toral , C. R. Mirasso , O. Calvo , J. D. Gunton

We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary subjected to stochastic noise. It is shown that, for a fixed driving amplitude and frequency, increasing the noise intensity, the system's energy resonantly…

Pattern Formation and Solitons · Physics 2009-11-13 George Miloshevich , Ramaz Khomeriki , Stefano Ruffo

We propose the generalized stochastic Liouville equation to investigate the coherent dynamics in single molecule systems coupled to environments which exhibit both nonstationary and non-Markovian features. The generalized stochastic…

Quantum Physics · Physics 2020-04-14 Xiangji Cai , Yujun Zheng

Stochastic power fluctuation in a fiber optic system due to the interplay among dispersion, nonlinearity and partial coherence of the source is investigated. An analytical expression for the power fluctuation of a signal pulse due to its…

Pattern Formation and Solitons · Physics 2020-03-23 Shiva Kumar , Jing Shao

A new technique is introduced to reconstruct a nonlinear stochastic model of the cardiorespiratory interaction. Its inferential framework uses a set of polynomial basis functions representing the nonlinear force governing the system…

Data Analysis, Statistics and Probability · Physics 2009-11-11 V. N. Smelyanskiy , D. G. Luchinsky , A. Stefanovska , P. V. E. McClintock

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
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