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Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

光学 · 物理学 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some…

系统与控制 · 电气工程与系统科学 2024-02-12 Shihao Xie , Giovanni Russo

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 main objective of this work is to explore aspects of stochastic resonance (SR) in noisy bistable, symmetric systems driven by subthreshold periodic rectangular external signals possessing a large duty cycle of unity. Using a precise…

统计力学 · 物理学 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense that for small and large intensities of the noise…

混沌动力学 · 物理学 2011-06-08 Peter D. Ditlevsen , Holger Braun

We study delay-induced transitions in consensus dynamics on signed networks with a ring topology. The proposed model is formulated as a system of delay differential equations incorporating both cooperative and antagonistic interactions, as…

动力系统 · 数学 2026-04-20 Hui Wu

Linear measures such as cross-correlation have been used successfully to determine time delays from the given processes. Such an analysis often precedes identifying possible causal relationships between the observed processes. The present…

定量方法 · 定量生物学 2015-05-13 Radhakrishnan Nagarajan

We quantify the finite size effects in a stochastic network made up of rate neurons, for several kinds of recurrent connectivity matrices. This analysis is performed by means of a perturbative expansion of the neural equations, where the…

动力系统 · 数学 2013-07-09 D. Fasoli , O. Faugeras

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is…

无序系统与神经网络 · 物理学 2019-01-09 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Entrainment by a pacemaker, representing an element with a higher frequency, is numerically investigated for several classes of random networks which consist of identical phase oscillators. We find that the entrainment frequency window of a…

无序系统与神经网络 · 物理学 2009-11-10 Hiroshi Kori , Alexander S. Mikhailov

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

动力系统 · 数学 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

We demonstrate that waves in distinct layers of a neuronal network can become phase-locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to…

斑图形成与孤子 · 物理学 2015-04-22 Zachary P. Kilpatrick

We demonstrate the existence of noise-induced periodicity (coherence resonance) in both a discrete-time model and a continuous-time model of an excitable neuron. In particular, we show that the effects of noise added to the fast and slow…

神经元与认知 · 定量生物学 2009-11-10 Robert C. Hilborn , Rebecca J. Erwin

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

生物物理 · 物理学 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

适应与自组织系统 · 物理学 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

神经元与认知 · 定量生物学 2007-09-14 Garrett T. Kenyon

This paper is focused on decoding delay guarantees in wireless networks, where messages have a given signal-to-interference-plus-noise ratio threshold $\eta_0$ to meet in order to be successfully decoded, and where this should occur within…

网络与互联网体系结构 · 计算机科学 2026-04-29 Kevin Zagalo , Jean-Marie Gorce , François Baccelli

Mixed-signal neuromorphic processors with brain-like organization and device physics offer an ultra-low-power alternative to the unsustainable developments of conventional deep learning and computing. However, realizing the potential of…

神经与进化计算 · 计算机科学 2022-08-05 Mattias Nilsson , Foteini Liwicki , Fredrik Sandin

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

混沌动力学 · 物理学 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan

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