Bounded noise enhanced stability and resonant activation

Li, Dongxi; Xu, Wei; Yue, Xiaole; Lei, Youming

doi:10.1007/s11071-012-0614-9

Cited by 22 publications

(17 citation statements)

References 36 publications

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“…Notice that HF bounded noise is not an exclusive name for noise. The expression of is described as follows [44]:…”

Section: Complexitymentioning

confidence: 99%

“…For → ∞, the mean, autocorrelation function, and power spectral density of bounded noise are, respectively, represented as follows [44]:…”

Section: Complexitymentioning

confidence: 99%

“…In addition, bounded noise is a simple non-Gaussian noise in mathematical presentation, and its spectrum may be either narrowband or broadband by appropriately choosing relevant parameters [42]. Therefore, as a reasonable and versatile random model, it has been long used in electrical engineering and has been recently used in mechanical and structural engineering and biological systems [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Subthreshold Periodic Signal Detection by Bounded Noise‐Induced Resonance in the FitzHugh–Nagumo Neuron

et al. 2018

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Neurons can detect weak target signals from complex background signals through stochastic resonance (SR) and vibrational resonance (VR) mechanisms. However, random phase variation of rapidly fluctuating background signals is generally ignored in classical VR or SR studies. Here, the rapidly fluctuating background signals are modeled by bounded noise with random rapidly fluctuating phase derived from Wiener process. Then, the influences of bounded noise on the weak signal detection are discussed in the FitzHugh-Nagumo (FHN) neuron. Numerical results reveal the occurrence of bounded noise-induced single-and biresonance as well as a transition between them. Randomness in phase can enhance the adaptability of neurons, but at the cost of signal detection performance so that neurons can work in more complex environments with a wider frequency range. More interestingly, bounded noise with appropriate parameters can not only optimize information transmission but also simultaneously reduce energy consumption. Finally, the potential mechanism of bounded noise is explained.

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“…Notice that HF bounded noise is not an exclusive name for noise. The expression of is described as follows [44]:…”

Section: Complexitymentioning

confidence: 99%

“…For → ∞, the mean, autocorrelation function, and power spectral density of bounded noise are, respectively, represented as follows [44]:…”

Section: Complexitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Subthreshold Periodic Signal Detection by Bounded Noise‐Induced Resonance in the FitzHugh–Nagumo Neuron

et al. 2018

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“…However, the misuse of Gaussian noise may lead to some unreasonable inferences in some real biological or physical system due to the unbounded nature of Gaussian noise. [31][32][33][34] On the other hand, nonGaussian noise sources exist widely in many nonlinear systems, such as neurons of rat skin and crayfish. 35 Based on these considerations, bounded noise attracts much attention and has been used widely in engineering, physical and biological systems.…”

Section: Introductionmentioning

confidence: 99%

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Yao

Hou

2019

Int. J. Mod. Phys. B

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Noise and delay are ubiquitous in brain and they have significant effects on neuronal network synchronization and even brain functions. Based on a small-world neuronal network of delayed FitzHugh–Nagumo (FHN) neurons subjected to sine-Wiener (SW) bounded noise, the effects of delay and SW noise on synchronization and synchronization transition are numerically investigated by calculating a synchronization measure R and plotting spatiotemporal patterns. The phenomenon of delay-induced synchronization transition is observed as delay [Formula: see text] is increased. And large self-correlation time and strength of SW noise can increase the number of delay-induced synchronization transition. In addition, delay-induced synchronization transition is robust against the change of topology structure of neuronal network and this phenomenon becomes much easier to see for small nearest neighbors k in the small-world network. Since synchronization transition may imply functional switch, our results may have important implications, and inspire future studies.

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“…Many experimental studies in sensory and other biological systems have shown that it is necessary to investigate effect of non-Gaussian noises 33 . As a typical kind of non-Gaussian noise, bounded noise is very simple in mathematical presentation, which only consists of harmonic function with constant amplitude and random frequency and phase 34 . But bounded noise is a suitable model for common random fluctuating 35 .…”

mentioning

confidence: 99%

Impact of bounded noise on the formation and instability of spiral wave in a 2D Lattice of neurons

Yao

Deng

et al. 2017

Sci Rep

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Spiral waves in the neocortex may provide a spatial framework to organize cortical oscillations, thus help signal communication. However, noise influences spiral wave. Many previous theoretical studies about noise mainly focus on unbounded Gaussian noise, which contradicts that a real physical quantity is always bounded. Furthermore, non-Gaussian noise is also important for dynamical behaviors of excitable media. Nevertheless, there are no results concerning the effect of bounded noise on spiral wave till now. Based on Hodgkin-Huxley neuron model subjected to bounded noise with the form of Asin[ωt + σW(t)], the influences of bounded noise on the formation and instability of spiral wave in a two-dimensional (2D) square lattice of neurons are investigated in detail by separately adjusting the intensity σ, amplitude A, and frequency f of bounded noise. It is found that the increased intensity σ can facilitate the formation of spiral wave while the increased amplitude A tends to destroy spiral wave. Furthermore, frequency of bounded noise has the effect of facilitation or inhibition on pattern synchronization. Interestingly, for the appropriate intensity, amplitude and frequency can separately induce resonance-like phenomenon.

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Bounded noise enhanced stability and resonant activation

Cited by 22 publications

References 36 publications

Subthreshold Periodic Signal Detection by Bounded Noise‐Induced Resonance in the FitzHugh–Nagumo Neuron

Subthreshold Periodic Signal Detection by Bounded Noise‐Induced Resonance in the FitzHugh–Nagumo Neuron

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Impact of bounded noise on the formation and instability of spiral wave in a 2D Lattice of neurons

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