Vibrational resonance in neuron populations

Deng, Bin; Wang, Jiang; Wei, Xile; Tsang, K.M.; Chan, Wai Lok

doi:10.1063/1.3324700

Cited by 123 publications

(53 citation statements)

References 18 publications

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“…The occurrence of the VR phenomenon has been widely studied and reported by many researchers numerically [1][2][3] and experimentally [4][5][6][7][8]. Much studies have been carried out in a large class of dynamical systems such as monostable system [9], excitable system [10], bistable systems [1,11,12], time-delayed system [13] and also in a few lowdimensional maps [14] due to its importance in exhibiting the response of the system in an interesting way.…”

Section: Introductionmentioning

confidence: 98%

Enriched vibrational resonance in certain discrete systems

Jeevarekha¹,

Santhiah²,

Philominathan³

2014

Pramana - J Phys

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We wish to report the occurrence of vibrational resonance in certain discrete systems like sine square map and sine circle map, in a unique fashion, comprising of multiple resonant peaks which pave the way for enrichment. As the systems of our choice are capable of exhibiting vibrational resonance behaviour unlike the earlier reports, they are taken for investigation and the necessary numerical and analytical results are presented. Further, we study the effect of external forcing on various attractors of these systems with appropriate bifurcation and Lyapunov exponent diagrams.

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Section: Introductionmentioning

confidence: 98%

Enriched vibrational resonance in certain discrete systems

Jeevarekha¹,

Santhiah²,

Philominathan³

2014

Pramana - J Phys

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“…The occurrence of vibrational resonance has been analyzed in systems with monostable [11], bistable [3][4][5], spatially periodic states [12], excitable systems [13,14], coupled oscillators [15] and small world networks [14,16,17]. Experimental evidence of vibrational resonance in vertical cavity laser system [18][19][20] and in an electronic circuit [21] has also been reported.…”

Section: Introductionmentioning

confidence: 99%

Vibrational resonance in the Morse oscillator

2013

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We investigate the occurrence of vibrational resonance in both classical and quantum mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of two forces of widely different frequencies ω and Ω with Ω ≫ ω. In the damped and biharmonically driven classical Morse oscillator applying a theoretical approach we obtain an analytical expression for the response amplitude at the low-frequency ω. We identify the conditions on the parameters for the occurrence of the resonance. The system shows only one resonance and moreover at resonance the response amplitude is 1/(dω) where d is the coefficient of linear damping. When the amplitude of the high-frequency force is varied after resonance the response amplitude does not decay to zero but approaches a nonzero limiting value. We have observed that vibrational resonance occurs when the sinusoidal force is replaced by a square-wave force. We also report the occurrence of resonance and anti-resonance of transition probability of quantum mechanical Morse oscillator in the presence of the biharmonic external field. 46.40.Ff.

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“…Therefore, we set the threshold = 0 in the calculation of . If < , is replaced by a fixed value = −1; otherwise, remains the same [13,18]. Larger indicates better synchronization between input LF signal and the output of the system and thus also suggests more information transported through a particular forcing frequency [13].…”

Section: Complexitymentioning

confidence: 99%

“…For example, Ullner et al studied the influence of additive noise and the interplay between SR and VR and found that the response of an excitable system to a low-frequency signal can be enhanced by high-frequency driving [12]. Deng et al investigated the effect of HF force on the detection of a subthreshold low-frequency signal in neuron populations with different topology structures and hybrid synapses [18,19]. Yao and Zhan found that signal detection and transmission can be effectively enhanced by VR in oneway coupled bistable systems [20] or a spatially periodic force in the reaction-diffusion system [21].…”

Section: Introductionmentioning

confidence: 99%

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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Vibrational resonance in neuron populations

Cited by 123 publications

References 18 publications

Enriched vibrational resonance in certain discrete systems

Enriched vibrational resonance in certain discrete systems

Vibrational resonance in the Morse oscillator

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

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