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In this study, we explore an overdamped system of a dimer in a bistable potential immersed in a heat bath. The monomers interact via the combination of the Lennard-Jones potential and the harmonic potential. We have introduced a short-range…

统计力学 · 物理学 2024-11-27 Dhruv Agrawal , W. L. Reenbohn

We analyze the phenomenon of nonlinear stochastic resonance (SR) in noisy bistable systems driven by pulsed time periodic forces. The driving force contains, within each period, two pulses of equal constant amplitude and duration but…

统计力学 · 物理学 2009-11-10 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo

We discuss the role of spatial correlations of the noise in the array enhanced stochastic resonance. We show numerically that the noises with negative correlations between different sites lead to significantly larger values of the…

统计力学 · 物理学 2007-05-23 P. F. Gora

The phenomenon of Stochastic Resonance (SR) has been conclusively demonstrated in bistable potentials. However, SR in sinusoidal potentials have only recently been shown numerically to occur in terms of hysteresis loop area. We show that…

统计力学 · 物理学 2012-02-07 W. L. Reenbohn , S. S. Pohlong , Mangal C. Mahato

As circuits continue to miniaturize, noise has become a significant obstacle to performance optimization. Stochastic resonance in logic circuits offers an innovative approach to harness noise constructively; however, current implementations…

适应与自组织系统 · 物理学 2024-10-11 Mengen Shen , Jianhua Yang , Miguel A. F. Sanjuán , Huatao Chen , Zhongqiu Wang

Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-order coupling function, neglecting other viable choices. Here…

适应与自组织系统 · 物理学 2025-10-13 Per Sebastian Skardal , Federico Battiston , Maxime Lucas , Matthew S Mizuhara , Giovanni Petri , Yuanzhao Zhang

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

适应与自组织系统 · 物理学 2010-02-24 Georgi S. Medvedev

The paradigm of stochastic resonance (SR)---the idea that signal detection and transmission may benefit from noise---has met with great interest in both physics and the neurosciences. We investigate here the consequences of reducing the…

生物物理 · 物理学 2009-11-06 Hans E. Plesser , Theo Geisel

We study an extended system that without noise shows a spatially homogeneous state, but when submitted to an adequate multiplicative noise, some "noise-induced patterns" arise. The stochastic resonance between these structures is…

斑图形成与孤子 · 物理学 2013-05-29 B. von Haeften , G. Izús , S. Mangioni , A. D. Sánchez , H. S. Wio

Driven by various kinds of noise, ensembles of limit cycle oscillators can synchronize. In this letter, we propose a general formulation of synchronization of the oscillator ensembles driven by common colored noise with an arbitrary power…

混沌动力学 · 物理学 2014-02-11 W. Kurebayashi , K. Fujiwara , T. Ikeguchi

In this paper, we investigate synchronization of coupled second-order linear harmonic oscillators with random noises and time delays. The interaction topology is modeled by a weighted directed graph and the weights are perturbed by white…

数据分析、统计与概率 · 物理学 2009-09-29 Yilun Shang

We consider an overdamped Brownian motion in "quartic" potential subjected to periodic driving. This system for the case of a weak periodic driving has been intensively studied during past decade within the context of stochastic resonance.…

无序系统与神经网络 · 物理学 2007-05-23 Andrey L. Pankratov

We study the stochastic resonance (SR) of a flexible polymer surmounting a bistable-potential barrier. Due to the flexibility that can enhance crossing rate and change chain conformations at the barrier, the SR behaviors manifest many…

软凝聚态物质 · 物理学 2015-05-14 Mesfin Asfaw , Wokyung Sung

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

适应与自组织系统 · 物理学 2015-05-13 Hidetsugu Sakaguchi

We study the synchronization behavior of a noisy network in which each system is driven by two sources of state-dependent noise: (1) an intrinsic noise which is common among all systems and can be generated by the environment or any…

动力系统 · 数学 2021-03-09 Zahra Aminzare , Vaibhav Srivastava

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

Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units,…

适应与自组织系统 · 物理学 2021-08-03 Per Sebastian Skardal , Alex Arenas

How do the combined effects of phase frustration, noise, and higher-order interactions govern synchronization in globally coupled heterogeneous Kuramoto oscillators? To address this question, we investigate a globally coupled network of…

混沌动力学 · 物理学 2025-12-12 Asutosh Anand Singh , Chandrakala Meena

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic…

统计力学 · 物理学 2007-05-23 Gerhard Schmid , Peter Hanggi

We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally…

chao-dyn · 物理学 2007-05-23 Rue-Ron Hsu , Jyh-Long Chern , Wei-Fu Lin , Chia-Chu Chen