Stochastic resonance in coupled star-networks with power-law heterogeneity

Gao, Shilong; Gao, Nunan; Kan, Bixia; Wang, Huiqi

doi:10.1016/j.physa.2021.126155

Cited by 13 publications

(2 citation statements)

References 64 publications

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“…The symmetric case is especially relevant in studying stochastic resonance 43 . Stochastic resonance in systems of coupled bistable elements has been studied in the case of global coupling [44][45][46][47] and of other network topologies 48,49 . When the coupling strength is fixed to a large value, one would observe stochastic resonance by changing the system size, as the effective noise intensity is about α/ √ N .…”

Section: Discussionmentioning

confidence: 99%

Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements

Ishii,

Kori

2024

Sci Rep

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Diverse complex systems often undergo sudden changes in their states, such as epileptic seizures, climate changes, and social uprisings. Such behavior has been modeled by noise-induced escape of bistable elements, which is the escape from an attracting state driven by a fluctuation in the system’s state. We consider a system of interacting bistable elements and investigate the effect of diffusive coupling among elements on the process of noise-induced escape. We focus on the influence of the coupling strength over the escape time, which is the time it takes for noise-induced escape to occur. We performed numerical simulations and observed that weak coupling reduced the mean escape time, whereas strong coupling impeded escape. We argue that, although diffusive coupling both facilitates and impedes escape, the facilitating effect is dominant when coupling is weak. For weak coupling cases, we develop an approximate theory that can predict the mean and variance of escape times. In contrast, strong coupling reduces the effective noise intensity to impede escape. Our results suggest that diffusive coupling among multistable elements contributes to regulating the rate of transitions among attracting states.

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Section: Discussionmentioning

confidence: 99%

Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements

Ishii,

Kori

2024

Sci Rep

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“…With the emergence of complex networks studies, the dynamics of coupled network systems have been widely explored [22][23][24]. For example, Tiesinga and José conducted an intriguing study on the phenomenon of synchronous clustering in a noisy inhibitory neural network [25].…”

Section: Introductionmentioning

confidence: 99%

Detecting the subthreshold signal in a neural network via statistical complexity measure

Wu¹,

Sun²,

Liu³

2023

Phys. Scr.

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This paper proposes an information theory approach for detecting the subthreshold signal in a small-world network composed of Fitz Hugh-Nagumo (FHN) neurons. Statistical complexity measure (SCM) and normalized Shannon-entropy (NSE) have been defined based on the specific and nonconsecutive firing time intervals series, and employed to quantify the stochastic multiresonance (SMR) phenomena in this small-world neural network. The results show that there are several maxima of SCM and several minima of NSE at various optimal noise levels, which is regarded as the signature of the occurrence of SMR. This also implies that the subthreshold signal can be accurately detected across multiple levels of noise. More intriguingly, we have discovered that the degree of this neural network can induce the generation of multiple resonance-like behaviors. In addition, our findings demonstrate that the SCM outperforms the traditional signal-to-noise ratio (SNR) in accurately identifying firing dynamical regularity under certain noisy conditions. Furthermore, the SCM can capture subtle resonance-like behavior induced by the degree, which the SNR is unable to detect. Thus, the SCM could have potential power on detecting weak signals in neural networks.

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Stochastic resonance in an overdamped oscillator with frequency and input signal fluctuation

Ren

Luo

et al. 2022

Nonlinear Dyn

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Stochastic resonance in coupled star-networks with power-law heterogeneity

Cited by 13 publications

References 64 publications

Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements

Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements

Detecting the subthreshold signal in a neural network via statistical complexity measure

Stochastic resonance in an overdamped oscillator with frequency and input signal fluctuation

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