Stochastic resonance and superharmonic resonance of a noisy confined overdamped bistable system

Xu, Ling; Yu, Tao; Li, Lai; Zhao, Dazhi; Deng, Chao; Zhang, Lu

doi:10.1016/j.cnsns.2019.105133

Cited by 12 publications

(5 citation statements)

References 35 publications

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“…For this purpose, most of scholars pay attention to exploring the behaviors of SR in novel nonlinear systems from bistable [6] to multistable ones [7][8][9], from overdamped [10] and underdamped [11] to fractional-order [12] ones, and even from cascaded [13] and coupled [14,15] to time-delayed feedback [16] ones and biological systems [17,18]. Because the bistable system is most classical among them, it has been investigated, such as classical bistable potential overdamped systems, noisy confined bistable potential overdamped systems [19], asymmetric bistable potential overdamped systems [20], classical bistable potential underdamped systems, noisy bistable potential fractional-order systems [21] and E-exponential potential underdamped systems [22,23]. The E-exponential potential named by the references [22,23] is a narrow version of the harmonic-Gaussian double-well potential.…”

Section: Introductionmentioning

confidence: 99%

Harmonic-Gaussian double-well potential stochastic resonance with its application to enhance weak fault characteristics of machinery

et al. 2023

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Although noise is ubiquitous and unwanted in detecting weak signals, the phenomenon of stochastic resonance (SR) is beneficial for enhancing weak signals embedded in signals with strong background noise. Taking into account that nonlinear systems are crucial ingredients to activate the SR, here we investigate the SR in the cases of overdamped and underdamped harmonic-Gaussian double-well potential systems subjected to noise and a periodic force. We derive and measure the analytic expression of the output signal-to-noise ratio (SNR) and the steady-state probability density (SPD) function under approximate adiabatic conditions. When the harmonic-Gaussian double-well potential loses its stability, we can observe the antiresonance phenomenon, whereas adding the damped factor into the overdamped system can change the stability of the harmonic-Gaussian double-well potential, resulting that the antiresonance behavior disappears in the underdamped system. Then, we use the overdamped and underdamped harmonic-Gaussian double-well potential

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Section: Introductionmentioning

confidence: 99%

Harmonic-Gaussian double-well potential stochastic resonance with its application to enhance weak fault characteristics of machinery

et al. 2023

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“…Currently, some of the famous potential function models have emerged from researchers worldwide, including: classical bistable SR, [22][23][24][25] exponential bistable SR, [26] coupled bistable SR, [27][28][29] and other tri-stable and multi-stable potential function models. Tan Chunlin et al [30] presented the application of standard tri-stable SR system in early bearing fault diagnosis.…”

Section: Introductionmentioning

confidence: 99%

Research and application of stochastic resonance in quad-stable potential system

He¹,

Liu²,

Zhang³

2022

Chinese Phys. B

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To solve the problem of low weak signal enhancement performance in the quad-stable system, a new Quad-stable potential Stochastic Resonance (QSR) is proposed. Firstly, under the condition of adiabatic approximation theory, the Stationary Probability Distribution (SPD), the Mean First Passage Time (MFPT), the Work (W) and the power Spectrum Amplification Factor (SAF) are derived, and the impacts of system parameters on them are also deeply analyzed. Secondly, numerical simulations are performed to compare QSR with the Classical Tri-stable Stochastic Resonance (CTSR) by using the Genetic Algorithm (GA) and the fourth-order Runge-Kutta algorithm. It shows that the Signal-to-Noise Ratio (SNR) and Mean Signal-to-Noise Increase (MSNRI) of QSR are higher than CTSR, which indicates that QSR has superior noise immunity than CTSR. Finally, the two systems are applied in the detection on real bearing faults. The experimental results show that QSR is superior to CTSR, which provides a better theoretical significance and reference value for practical engineering application.

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“…However, in soft condensed or biological systems, particles always move in a specific, confined space [12][13][14], and the boundaries of the confined space usually lead to the formation of entropy barriers. In addition, the shape and size of the boundaries have essential effects on the dynamical properties of the system and even on the structure of the particles themselves, making the particles in the mesoscopic confined systems exhibit very different control mechanisms and phenomena in terms of transport, diffusion, and SR from those in unconfined systems [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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

Yang¹,

Chang²,

Zhang³

2022

Phys. Scr.

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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.

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Stochastic resonance and superharmonic resonance of a noisy confined overdamped bistable system

Cited by 12 publications

References 35 publications

Harmonic-Gaussian double-well potential stochastic resonance with its application to enhance weak fault characteristics of machinery

Harmonic-Gaussian double-well potential stochastic resonance with its application to enhance weak fault characteristics of machinery

Research and application of stochastic resonance in quad-stable potential system

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

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