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We investigate the large population dynamics of a family of stochastic particle systems with three-state cyclic individual behaviour and parameter-dependent transition rates. On short time scales, the dynamics turns out to be approximated…

概率论 · 数学 2022-05-10 Julien Barré , Bastien Fernandez , Grégoire Panel

We show that noise-induced oscillations in a gene circuit model display stochastic coherence, that is, a maximum in the regularity of the oscillations as a function of noise amplitude. The effect is manifest as a system-size effect in a…

分子网络 · 定量生物学 2009-08-05 Robert C. Hilborn , Jessie D. Erwin

The behavior of the most probable values of the order parameter $x$ and the amplitude $\phi$ of conjugate force fluctuations is studied for a stochastic system with a colored multiplicative noise with absorbing states. The phase diagrams…

统计力学 · 物理学 2007-05-23 D. O. Kharchenko

We study the stochastic resonance phenomenon in the overdamped two coupled anharmonic oscillators with Gaussian noise and driven by different external periodic forces. We consider (i) sine, (ii) square, (iii) symmetric saw-tooth, (iv)…

混沌动力学 · 物理学 2015-06-26 V. M. Gandhimathi , K. Murali , S. Rajasekar

The use of analog resistance states for storing weights in neuromorphic systems is impeded by fabrication imprecision and device stochasticity that limit the precision of synapse weights. This challenge can be resolved by emulating analog…

神经与进化计算 · 计算机科学 2021-12-13 Peng Zhou , Julie A. Smith , Laura Deremo , Stephen K. Heinrich-Barna , Joseph S. Friedman

This work presents the mathematical modeling and numerical investigation of a thermo-controlled Micro-Electro-Mechanical System (MEMS) obtained by coupling an HP memristor with mechanical and electrical resonators. Using the linear drift HP…

混沌动力学 · 物理学 2026-05-29 N. G. Koudafokê , Thierry Njougouo , Hilda A. Cerdeira , C. H. Miwadinou

We consider a class of stochastic dynamical systems, called piecewise deterministic Markov processes, with states $(x, \s)\in \O\times \G$, $\O$ being a region in $\bbR^d$ or the $d$--dimensional torus, $\G$ being a finite set. The…

统计力学 · 物理学 2009-02-25 Alessandra Faggionato , Davide Gabrielli , Marco Ribezzi Crivellari

We present a detailed analysis of the dynamical regimes observed in a balanced network of identical Quadratic Integrate-and-Fire (QIF) neurons with a sparse connectivity for homogeneous and heterogeneous in-degree distribution. Depending on…

神经元与认知 · 定量生物学 2025-05-29 Matteo Di Volo , Marco Segneri , Denis Goldobin , Antonio Politi , Alessandro Torcini

We study the residence time distributions and explore the possibility of observing stochastic resonance and synchonization of passages in a two-well system driven by a periodic forcing of amplitude larger than a marginal value beyond which…

统计力学 · 物理学 2009-10-30 Mangal C. Mahato , A. M. Jayannavar

Stochastic Resonance in single voltage-dependent ion channels is investigated within a three state non-Markovian modeling of the ion channel conformational dynamics. In contrast to a two-state description one assumes the presence of an…

生物物理 · 物理学 2007-05-23 I. Goychuk , P. Hanggi , J. L. Vega , S. Miret-Artes

Different real-world cognitive tasks evolve on different relevant timescales. Processing these tasks requires memory mechanisms able to match their specific time constants. In particular, the working memory utilizes mechanisms that span…

新兴技术 · 计算机科学 2024-02-08 Saverio Ricci , David Kappel , Christian Tetzlaff , Daniele Ielmini , Erika Covi

Stochastic neurons are efficient hardware accelerators for solving a large variety of combinatorial optimization problems. "Binary" stochastic neurons (BSN) are those whose states fluctuate randomly between two levels +1 and -1, with the…

新兴技术 · 计算机科学 2024-04-03 Rahnuma Rahman , Samiran Ganguly , Supriyo Bandyopadhyay

The long-term mean-field dynamics of coupled underdamped Duffing oscillators driven by an external periodic signal with Gaussian noise is investigated. A Boltzmann-type H-theorem is proved for the associated nonlinear Fokker-Planck equation…

动力系统 · 数学 2019-08-30 Ruonan Liu , Yanmei Kang , Yuxuan Fu , Guanrong Chen

The creation and subsequent evolution of marginally-unstable modes have been observed in a wide range of fusion devices. This behaviour has been successfully explained, for a single frequency shifting mode, in terms of phase-space…

The effects of intrinsic noise on stochastic delay systems is studied within an expansion in the inverse system size. We show that the stochastic nature of the underlying dynamics may induce oscillatory behaviour in parameter ranges where…

分子网络 · 定量生物学 2015-05-13 Tobias Galla

The neural dynamics generating sensory, motor, and cognitive functions are commonly understood through field theories for neural population activity. Classic neural field theories are derived from highly simplified models of individual…

神经元与认知 · 定量生物学 2023-11-21 Gabriel Koch Ocker

Stochastic oscillations in individual cells are usually characterized by a non-monotonic power spectrum with an oscillatory autocorrelation function. Here we develop an analytical approach of stochastic oscillations in a minimal hybrid…

分子网络 · 定量生物学 2024-02-08 Chen Jia , Hong Qian , Michael Q. Zhang

A stochastic subgrid-scale parameterization based on the Ruelle's response theory and proposed in Wouters and Lucarini [2012] is tested in the context of a low-order coupled ocean-atmosphere model for which a part of the atmospheric modes…

大气与海洋物理 · 物理学 2017-01-18 Jonathan Demaeyer , Stéphane Vannitsem

Stochastic chains represent a wide and key variety of phenomena in many branches of science within the context of Information Theory and Thermodynamics. They are typically approached by a sequence of independent events or by a memoryless…

统计力学 · 物理学 2017-03-06 J. Ricardo Arias-Gonzalez

Stochastic resonance is a general phenomenon usually observed in one-dimensional, amplitude modulated, bistable systems.We show experimentally the emergence of phase stochastic resonance in the bidimensional response of a forced…