STOCHASTIC RESONANCE FOR A METAPOPULATION SYSTEM SUBJECTED TO CORRELATED COLORED NOISES

In the present paper, for a Levins metapopulation system that is driven by correlated colored noises, the phenomenon of stochastic resonance (SR) is investigated. Based on the two-state theory and by the use of fast descent method, the expression of the signal-to-noise ratio (SNR) is obtained. Via a numerical simulation, it is shown that the conventional SR occurs in the Levins model for the different values of system parameters. And furthermore, it is revealed that, under the different conditions that if the correlation intensities between the two noises are different, i.e. positive or negative, then all the effects of the addictive noise intensity, the multiplicative noise intensity, the correlated noise intensity and the correlation time on SNR are different.

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Stochastic Resonance in a Multistable System Driven by Gaussian Noise

Discrete Dynamics in Nature and Society ◽

10.1155/2016/1093562 ◽

2016 ◽

Vol 2016 ◽

pp. 1-7 ◽

Cited By ~ 11

Author(s):

Peiming Shi ◽

Pei Li ◽

Shujun An ◽

Dongying Han

Keyword(s):

Stochastic Resonance ◽

Gaussian Noise ◽

Noise Intensity ◽

Signal To Noise Ratio ◽

Gaussian White Noise ◽

State Theory ◽

Elimination Theory ◽

Resonance System ◽

System Parameters ◽

Nonmonotonic Function

Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parametersb,c, anddon the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters.

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Stochastic Resonance in FitzHugh-Nagumo Neural Model

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.415.298 ◽

2013 ◽

Vol 415 ◽

pp. 298-302

Author(s):

Deng Rong Zhou ◽

Jian Chun Gong ◽

Dan Li

Keyword(s):

Stochastic Resonance ◽

Adiabatic Approximation ◽

Multiplicative Noise ◽

Additive Noise ◽

Signal To Noise Ratio ◽

Neural Model ◽

System Parameters ◽

Maximum Value ◽

External Incentives ◽

Delayed Time

Stochastic resonance is a non-linear phenomenon where the output response of the dynamic system reaches the maximum value under the joint action of a certain intensity of noises and external incentives. In this paper, the phenomenon of stochastic resonance in a FitzHugh-Nagumo neural (FHN) model is studied. For the case that the frequency of the HF signal is much higher than that of the LF signal, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) with respect to the LF signal is obtained. It is shown that, the SNR is a non-monotonous function of the amplitude and frequency of the HF signal. In addition, the SNR varies non-monotonically with increasing the intensities of the multiplicative and additive noise, with increasing the delayed-time as well as increasing the system parameters of the FHN model. The influence of the correlation time of the colored multiplicative noise and the influence of the coupling strength between the multiplicative and additive noise on the SNR is discussed.

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INVESTIGATION OF STOCHASTIC RESONANCE IN MONOSTABLE SYSTEMS

International Journal of Bifurcation and Chaos ◽

10.1142/s021812740802207x ◽

2008 ◽

Vol 18 (09) ◽

pp. 2833-2839 ◽

Cited By ~ 5

Author(s):

N. V. AGUDOV ◽

A. V. KRICHIGIN

Keyword(s):

Stochastic Resonance ◽

Output Signal ◽

Noise Intensity ◽

Signal To Noise Ratio ◽

Gaussian White Noise ◽

Periodic Signal ◽

Signal Power ◽

Signal To Noise ◽

Input Noise ◽

Power Amplification

The phenomena of stochastic resonance is studied in overdamped nonlinear monostable systems driven by a periodic signal and Gaussian white noise. It is shown that the signal power amplification as a function of input noise intensity can be different depending on nonlinearity: it can monotonically grow, decrease and it can reach a maximum at certain value of the noise intensity. Nevertheless, the output signal to noise ratio is shown to be always a decreasing function of input noise intensity.

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THE CRITICAL EFFECTS OF TIME DELAY AND NOISE CORRELATION ON STOCHASTIC RESONANCE IN AN ASYMMETRIC BISTABLE SYSTEM

Modern Physics Letters B ◽

10.1142/s0217984911026310 ◽

2011 ◽

Vol 25 (16) ◽

pp. 1377-1391 ◽

Cited By ~ 8

Author(s):

ZHENG-LIN JIA ◽

DONG-CHENG MEI

Keyword(s):

Time Delay ◽

Stochastic Resonance ◽

Noise Intensity ◽

Signal To Noise Ratio ◽

State Theory ◽

Bistable System ◽

Noise Correlation ◽

Small Delay ◽

Correlation Strength ◽

Two Peaks

We investigate the effects of time delay and noise correlation on the stochastic resonance induced by a multiplicative signal in an asymmetric bistable system. By the two-state theory and small delay approximation, the expression of the output signal-to-noise ratio (SNR) is obtained in the adiabatic limit. The results show that SNR as a function of the multiplicative noise intensity D shows a transition from two peaks to one peak with the decreasing of cross-correlation strength λ and the increasing of delay time τ. Moreover, there are the doubly critical phenomena for SNR versus λ and τ, and SNR versus D and α (additive noise intensity).

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Stochastic Resonance in Bistable Systems: The Effect of Simultaneous Additive and Multiplicative Correlated Noises

Modern Physics Letters B ◽

10.1142/s0217984998001414 ◽

1998 ◽

Vol 12 (28) ◽

pp. 1195-1202 ◽

Cited By ~ 15

Author(s):

Claudio J. Tessone ◽

Horacio S. Wio

Keyword(s):

Stochastic Resonance ◽

Noise Intensity ◽

Additive Noise ◽

Signal To Noise Ratio ◽

Bistable System ◽

Signal To Noise ◽

Multiplicative Noises ◽

Bistable Systems ◽

Resonance Response ◽

Correlated Noises

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the system's response, measured through the output signal-to-noise ratio, becomes largely independent of the additive noise intensity.

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STOCHASTIC RESONANCE ENHANCED BY WHITE NOISE IN A STOCHASTIC BISTABLE SYSTEM

International Journal of Modern Physics B ◽

10.1142/s0217979211102010 ◽

2011 ◽

Vol 25 (28) ◽

pp. 3797-3804 ◽

Cited By ~ 2

Author(s):

GUO FENG ◽

YU-RONG ZHOU ◽

SHAO-FU LI

Keyword(s):

White Noise ◽

Stochastic Resonance ◽

Additive Noise ◽

Signal To Noise Ratio ◽

Bistable System ◽

Static Force ◽

Noise Strength ◽

Signal To Noise ◽

System Parameters ◽

Additive White Noise

The stochastic resonance (SR) for a stochastic bistable system driven by a static force and a periodic square-wave signal as well as by additive white noise is considered from the view of signal-to-noise ratio (SNR). It is found that the SNR appears SR behavior when it is plotted as a function of the additive noise strength or as a function of the system parameters. Moreover, the influence of the static force is opposite to that of the amplitude of the stochastic potential.

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Stochastic resonance in tristable system induced by dichotomous noise

Modern Physics Letters B ◽

10.1142/s0217984916503772 ◽

2016 ◽

Vol 30 (31) ◽

pp. 1650377 ◽

Cited By ~ 12

Author(s):

Peiming Shi ◽

Xiao Su ◽

Dongying Han

Keyword(s):

Stochastic Resonance ◽

Signal To Noise Ratio ◽

Signal Amplitude ◽

Periodic Signal ◽

Signal To Noise ◽

Dichotomous Noise ◽

System Parameters ◽

The Mean ◽

Selection Of ◽

Reliable Basis

Stochastic resonance (SR) of a tristable system driven by dichotomous noise (DN) is investigated firstly by the mean signal-to-noise ratio gain (SNR-GM). Utilizing an efficiently numerical algorithm, we acquire the asymmetric DN accurately. Then the system responses and the SNR-GM as the signatures of the stochastic resonance are calculated by the fourth-order Runge–Kutta algorithm. It is founded that the change of system parameters [Formula: see text] and [Formula: see text] in a certain range can induce SR phenomenon. Moreover, with the increase of parameter [Formula: see text], the amplitude of SNR-GM increases and shows the trend of moving to the left. For the different state values of the symmetric DN, the SNR-GM will increase with the increase of state value [Formula: see text] and [Formula: see text] but only a highest peak and the interval of SR shift to the left. However, with the increase of forcing frequency, the SNR-GM decreases and the interval of SR moves to right. In addition to, the highest peak of SNR-GM will decrease with the increase of periodic signal amplitude. These results provide a reliable basis for how to realize the parameter selection of stochastic resonance in tristable system driven by DN.

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Stochastic resonance in periodically driven bistable systems subjected to anomalous diffusion

SN Applied Sciences ◽

10.1007/s42452-021-04418-6 ◽

2021 ◽

Vol 3 (4) ◽

Author(s):

F. Naha Nzoupe ◽

Alain M. Dikandé

Keyword(s):

Stochastic Resonance ◽

Signal To Noise Ratio ◽

Planck Equation ◽

Relevant Information ◽

Periodic Signal ◽

Signal To Noise ◽

Periodically Driven ◽

Loop Area ◽

Bistable Systems ◽

Noise Ratio

AbstractThe occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with an emphasis on the analytical formulation of the problem as well as a possible analytical derivation of key quantifiers of stochastic resonance. The nonlinear Fokker–Planck equation describing the system dynamics, together with the corresponding Ito–Langevin equation, is formulated. In the linear response regime, analytical expressions of the spectral amplification, of the signal-to-noise ratio and of the hysteresis loop area are derived as quantifiers of stochastic resonance. These quantifiers are found to be strongly dependent on the parameters controlling the type of diffusion; in particular, the peak characterizing the signal-to-noise ratio occurs only in close ranges of parameters. Results introduce the relevant information that, taking into consideration the interactions of anomalous diffusive systems with a periodic signal, can provide a better understanding of the physics of stochastic resonance in bistable systems driven by periodic forces.

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