Collective behaviors in globally coupled harmonic oscillators with fluctuating damping coefficient

Li, Lai; Zhang, Lu; Yu, Tao

doi:10.1007/s11071-019-05120-4

Cited by 12 publications

(2 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stochastic resonance (SR) was initially proposed by Benzi et al [1] when studying the problem of paleometeorological glaciers as early as 1981. Subsequently, in 1983, Stephan Fauve et al [2] discovered the phenomenon of SR in a Schmidt exciter circuit system, which was the first experimental confirmation of Sr Since then, the SR of various models under different types of noise has been widely studied by scholars for more than 40 years [3][4][5][6][7]. However, the SR phenomena have been studied mainly for energy barrier systems [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Entropic stochastic resonance and super-harmonic stochastic resonance in a dichotomous fluctuating potential

Yang¹,

Chang²,

Zhang³

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

When a Brownian particle moves in a confined space, the boundaries of the confined space can form an entropic barrier and thus induce the classical entropic stochastic resonance (ESR) phenomenon. This paper introduces a dichotomous fluctuating potential into the classical ESR model and studies the dynamics and ESR phenomena of the confined particle. It is shown that the amplitude of each harmonic component of both the horizontal and vertical displacements of the confined particle appears in various types of ESR phenomena, such as single-peak ESR, double-peak ESR, or even multi-peak ESR. This multi-peak ESR phenomenon is caused when the different dynamical states of the confined particle (under the joint action of the energy and entropy potentials) reach the optimal equilibrium. The results of this paper will help to understand the mechanism of stochastic dynamics of particles in confined spaces.

show abstract

Section: Introductionmentioning

confidence: 99%

Entropic stochastic resonance and super-harmonic stochastic resonance in a dichotomous fluctuating potential

Yang¹,

Chang²,

Zhang³

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In fact, as early as 1994, Maritan and Banavar found that two identical and independent chaotic maps affected by uniformly distributed common noise can be synchronized [37]. Subsequently, various positive effects of common noise in complex systems, such as promoting the synchronization of chaotic systems [38], inducing spatiotemporal coherent resonance [36], and stochastic resonance of integer-order or fractional-order complex networks [39,40], etc., have attracted more and more attention. However, there is also little reported on the positive effect of noise on the consensus of MASs.…”

Section: Introductionmentioning

confidence: 99%

Consensus of Fractional-Order Double-Integral Multi-Agent System in a Bounded Fluctuating Potential

2022

Self Cite

View full text Add to dashboard Cite

At present, the consensus problem of fractional complex systems has received more attention. However, there is little literature on the consensus problem of fractional-order complex systems under noise disturbance. In this paper, we present a fractional-order double-integral multi-agent system affected by a common bounded fluctuating potential, where the protocol term consists of both the relative position and velocity information of neighboring agents. The consensus conditions of the presented system in the absence of noise are analytically given and verified by a numerical simulation algorithm. Then, the influences of the system order and other system parameters on the consensus of the presented system in the presence of bounded noise are also analyzed. It is found that when compared with the classical integer-order system, the presented fractional-order system has a larger range of consensus parameters and has more rich dynamic characteristics under the action of random noise. Especially, the bounded noise has a promoting effect on the consensus of the presented fractional-order system, while there is no similar phenomenon in the corresponding integer-order system.

show abstract

Noise effect on the signal transmission in an underdamped fractional coupled system

Zhong

Zhang

2020

Nonlinear Dyn

View full text Add to dashboard Cite

Collective behaviors in globally coupled harmonic oscillators with fluctuating damping coefficient

Cited by 12 publications

References 48 publications

Entropic stochastic resonance and super-harmonic stochastic resonance in a dichotomous fluctuating potential

Entropic stochastic resonance and super-harmonic stochastic resonance in a dichotomous fluctuating potential

Consensus of Fractional-Order Double-Integral Multi-Agent System in a Bounded Fluctuating Potential

Noise effect on the signal transmission in an underdamped fractional coupled system

Contact Info

Product

Resources

About