Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system

Cheng, Guanghui; Liu, Weidan; Gui, Rong; Yao, Yuangen

doi:10.1016/j.chaos.2019.109514

Cited by 41 publications

(9 citation statements)

References 49 publications

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“…Therefore, except SPD and MFPT, the influence of noises on SR has also been widely concerned by scholars. The background of SR phenomenon has been involved in many subjects such as physics [36], chemistry [37], biology [38], communication [39] and electronics [40], and SR has been proved to be a kind of common physical phenomenon in nature. Among the various measures describing SR, SNR is one of the most representative index.…”

Section: Theoretic Results Of Sr and Snrmentioning

confidence: 99%

The Mean First-Passage Time and Stochastic Resonance of a Stochastic Tumor-immune Model via BPNN Method

Zhang

Yang

et al. 2023

Preprint

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The Mean First-Passage Time (MFPT) and Stochastic Resonance (SR) of a stochastic tumor-immune model with noises perturbation are discussed in this paper. Firstly, considering environmental perturbation, Gaussian white noise and Gaussian colored noise are introduced into a tumor growth model under immune surveillance. As the follows, the long-time evolution of the tumor characterized by the Stationary Probability Density (SPD) and MFPT are obtained in theory on the basis of the Approximated Fokker-Planck Equation (AFPE). Herein the recurrence of the tumor from the extinction state to the tumor-present state is more concerned in this paper. A higher efficient algorithm of Back-Propagation Neural Network (BPNN) is applied in order to testify the correction of the theoretic SPD and MFPT. With the existence of weak signal, the functional relationship between Signal-to-Noise Ratio (SNR), noise intensities and correlation time is also studied. These results show that both multiplicative Gaussian colored noise and additive Gaussian white noise can promote the extinction of tumors, and the multiplicative Gaussian colored noise will lead to the resonance-like peak on MFPT curves, while the increasing intensity of additive Gaussian white noise will cause the minimum of MFPT. In addition, the correlation times are negatively correlated with MFPT. As for the SNR, we find the intensities of Gaussian white noise and Gaussian colored noise, as well as their correlation intensity will induce SR. Especially, SNR is monotonously increased in the case of Gaussian white noise with the change of the correlation time, however, SNR displays the point of inflection in other cases. At last, the optimal parameters in BPNN structure are analyzed for MFPT from three aspects: the penalty factors, the number of neural network layers and the number of nodes in each layer.

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Section: Theoretic Results Of Sr and Snrmentioning

confidence: 99%

The Mean First-Passage Time and Stochastic Resonance of a Stochastic Tumor-immune Model via BPNN Method

Zhang

Yang

et al. 2023

Preprint

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“…1. As previously mentioned [40], the evolution of W(t) is based on 𝑊(𝑡) = 𝑊(𝑡 − ∆𝑡) + √−2∆𝑡𝑙𝑛(𝜒 1 )cos (2𝜋𝜒 2 ) (4) 𝜒 1 and 𝜒 2 are two independent random numbers, which are uniformly distributed in the interval 0-1. The initial value of W(t) is random which takes value in 0-1.…”

Section: Model and Schemementioning

confidence: 99%

Autapse-induced logical resonance in the FitzHugh–Nagumo neuron

Yao

2022

Nonlinear Dyn

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It was demonstrated that the chaos-driven FitzHugh-Nagumo (FHN) neuron can be considered as a logic system to implement the reliable logic operation through logical resonance. Signal transmission between neurons is dependent on an essential component called synapse. Autapse (meaning the self-synapse) widely exists in various kinds of neurons, and it significantly affects the neuronal dynamics and functionalities. However, the effects of autapse on logical resonance have not been reported yet. Here, we explore the effects of autapse on the reliability of logical operation based on the autaptic FHN neuron with time-dependent coupling intensity. Our results demonstrate that there are the optimal ranges of autaptic time delay , the amplitude and frequency of coupling intensity, and phase fluctuation at which the reliability of logical operation can be maximized. That is, autapse-induced logical resonance can be realized in the autaptic FHN neuron. More interestingly, multiple logical resonance can be observed by regulating time delay, frequency ratio between oscillating coupling intensity and external input, and phase fluctuation. The results presented here provide the novel phenomena, and may have implications in understanding the logic gate-like functionalities in the nervous systems.

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“…The small transience is defined as the 10% of each time interval. [14,30] The total number of runs R is 100 in our simulations. Note that increasing total number of runs does not lead to obvious differences in the results.…”

Section: Model and Schemementioning

confidence: 99%

“…Besides the various types of noises, [14,15] other non-stochastic factors can also induce LSR-like phenomenon. [16][17][18][19][20][21] For example, Gupta and coworkers demonstrated that a bistable system subjected only to completely regular periodic forcing, despite having no stochastic influence, can also produce LSR-like phenomenon, and thus they termed this phenomenon noise-free LSR.…”

Section: Introductionmentioning

confidence: 99%

Time-varying coupling-induced logical stochastic resonance in a periodically driven coupled bistable system*

Yao

2021

Chinese Phys. B

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Coupling-induced logical stochastic resonance (LSR) can be observed in a noise-driven coupled bistable system where the behaviors of system can be interpreted consistently as a specific logic gate in an appropriate noise level. Here constant coupling is extended to time-varying coupling, and then we investigate the effect of time-varying coupling on LSR in a periodically driven coupled bistable system. When coupling intensity oscillates periodically with the same frequency with periodic force or relatively high frequency, the system successfully yields the desired logic output. When coupling intensity oscillates irregularly with phase disturbance, large phase disturbance reduces the area of optimal parameter region of coupling intensity and response speed of logic devices. Although the system behaves as a desired logic gate when the frequency of time-periodic coupling intensity is precisely equal to that of periodic force, the desired logic gate is not robust against tiny frequency difference and phase disturbance. Therefore, periodic coupling intensity with high frequency ratio is an optimal option to obtain a reliable and robust logic operation.

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Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system

Cited by 41 publications

References 49 publications

The Mean First-Passage Time and Stochastic Resonance of a Stochastic Tumor-immune Model via BPNN Method

The Mean First-Passage Time and Stochastic Resonance of a Stochastic Tumor-immune Model via BPNN Method

Autapse-induced logical resonance in the FitzHugh–Nagumo neuron

Time-varying coupling-induced logical stochastic resonance in a periodically driven coupled bistable system*

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