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We set up a signal-driven scheme of the chaotic neural network with the coupling constants corresponding to certain information, and investigate the stochastic resonance-like effects under its deterministic dynamics, comparing with the…

混沌动力学 · 物理学 2007-05-23 Haruhiko Nishimura , Naofumi Katada , Kazuyuki Aihara

Using the input energy per cycle as a quantifier of stochastic resonance (SR), we show that SR is observed in superharmonic (hard) potentials. However, it is not observed in subharmonic (soft) potentials, even though the potential is…

统计力学 · 物理学 2012-11-02 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

The high-order synchronization was studied in systems driven by external force and in autonomous systems with proper frequency mismatch. Differing from the literature, in this article, we demonstrate the occurrence of high-order (1:2)…

混沌动力学 · 物理学 2021-11-30 Nissi Thomas , S. Karthiga , M. Senthilvelan

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

生物物理 · 物理学 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi

We study an extended system that without noise shows a monostable dynamics, but when submitted to an adequate multiplicative noise, an effective bistable dynamics arise. The stochastic resonance between the attractors of the…

统计力学 · 物理学 2009-11-10 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

We investigate the behavior of the residence times density function for different nonlinear dynamical systems with limit cycle behavior and perturbed parametrically with a colored noise. We present evidence that underlying the stochastic…

chao-dyn · 物理学 2009-10-31 Juan L. Cabrera , J. Gorro~nogoitia , F. J. de la Rubia

The phenomenon of self-induced stochastic resonance (SISR) requires a nontrivial scaling limit between the deterministic and the stochastic timescales of an excitable system, leading to the emergence of coherent oscillations which are…

适应与自组织系统 · 物理学 2021-12-07 Florian Bönsel , Patrick Krauss , Claus Metzner , Marius E. Yamakou

Stochastic resonance (SR), a phenomenon originally introduced in climate modeling, enhances signal detection by leveraging optimal noise levels within non-linear systems. Traditional SR techniques, mainly based on single-threshold…

信号处理 · 电气工程与系统科学 2025-10-27 Dixon Vimalajeewa , Ursula U. Muller , Brani Vidakovic

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

适应与自组织系统 · 物理学 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

We study theoretically a bistable systems with time-delayed feedback driven by weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can…

统计力学 · 物理学 2009-01-15 Rui-Hua Shao , Yong Chen

We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a…

适应与自组织系统 · 物理学 2022-06-01 Per Sebastian Skardal , Can Xu

A small-world network (SW) of similar phase oscillators, interacting according to the Kuramoto model is studied numerically. It is shown that deterministic Kuramoto dynamics on the SW networks has various stable stationary states. This can…

无序系统与神经网络 · 物理学 2013-04-11 Reihaneh Kouhi Esfahani , Farhad Shahbazi , Keivan Aghababaei Samani

Stochastic resonance phenomenon induced by non-Gaussian L\'evy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by an efficient numerical scheme. The influences of the…

统计力学 · 物理学 2013-09-06 Yong Xu , Juanjuan Li , Jing Feng , Huiqing Zhang , Wei Xu , Jinqiao Duan

Suprathreshold stochastic resonance (SSR) is a form of noise enhanced signal transmission that occurs in a parallel array of independently noisy identical threshold nonlinearities, including model neurons. Unlike most forms of stochastic…

统计力学 · 物理学 2007-07-02 Mark D. McDonnell , Nigel G. Stocks , Derek Abbott

Impact of noise in coupled oscillators with pairwise interactions has been extensively explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher-order interactions, and show that as noise strength increases…

适应与自组织系统 · 物理学 2024-07-23 Priyanka Rajwani , Sarika Jalan

A P-spice simulation followed by an experiment with a unijunction transistor (UJT) has been carried out to investigate stochastic resonance (SR) in which the response of a nonlinear system to a weak periodic input signal is amplified by an…

适应与自组织系统 · 物理学 2014-10-01 Souvik Bose , M. S. Janaki , Sandip Sarkar , A. N. Sekar Iyengar

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

统计力学 · 物理学 2007-05-23 Asish K. Dhara , S. R. Banerjee

The study of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic networks are intrinsically noisy due to natural random…

分子网络 · 定量生物学 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Stochastic Resonance (SR) and Coherence Resonance (CR) have been studied experimentally in the discharge plasma close to a homoclinic bifurcation. For the SR phenomena, it is observed that a superimposed subthreshold periodic signal can be…

等离子体物理 · 物理学 2010-03-17 Md. Nurujjaman , A. N. Sekar Iyengar , Punit Parmananda

We explore the consequences of introducing higher-order interactions in a geometric complex network of Morris-Lecar neurons. We focus on the regime where travelling synchronization waves are observed out of a first-neighbours based…

斑图形成与孤子 · 物理学 2019-11-20 A. Tlaie , I. Leyva , I. Sendiña