Ghost stochastic resonance induced by a power-law distributed noise in the FitzHugh–Nagumo neuron model

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.06.050 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 641-649 ◽

Author(s):

Iacyel G. Silva ◽

Osvaldo A. Rosso ◽

Marcos V.D. Vermelho ◽

Marcelo L. Lyra

Keyword(s):

Stochastic Resonance ◽

Power Law ◽

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

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2021.126155 ◽

2021 ◽

pp. 126155

Author(s):

Shilong Gao ◽

Nunan Gao ◽

Bixia Kan ◽

Huiqi Wang

Keyword(s):

Stochastic Resonance ◽

Power Law ◽

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Stochastic resonance in a neuron model that transmits spike trains

Physical Review E ◽

10.1103/physreve.53.1273 ◽

1996 ◽

Vol 53 (1) ◽

pp. 1273-1275 ◽

Author(s):

François Chapeau-Blondeau ◽

Xavier Godivier ◽

Nicolas Chambet

Keyword(s):

Stochastic Resonance ◽

Neuron Model ◽

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Stochastic resonance can induce oscillation in a recurrent Hodgkin-Huxley neuron model with added Gaussian noise

2008 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society ◽

10.1109/iembs.2008.4649697 ◽

2008 ◽

Author(s):

Hiroyuki Mino ◽

Dominique M. Durand

Keyword(s):

Stochastic Resonance ◽

Gaussian Noise ◽

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The detection threshold, noise and stochastic resonance in the Fitzhugh-Nagumo neuron model

Physics Letters A ◽

10.1016/0375-9601(95)00639-k ◽

1995 ◽

Vol 206 (1-2) ◽

pp. 61-65 ◽

Author(s):

Xing Pei ◽

Ken Bachmann ◽

Frank Moss

Keyword(s):

Stochastic Resonance ◽

Neuron Model ◽

Detection Threshold

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Stochastic resonance induced by novel random transitions of motion of FitzHugh–Nagumo neuron model

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(04)00400-x ◽

2005 ◽

Vol 23 (4) ◽

pp. 1439-1449 ◽

Author(s):

G ZHANG ◽

J XU

Keyword(s):

Stochastic Resonance ◽

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A neuron model of stochastic resonance using rectangular pulse trains

Journal of Computational Neuroscience ◽

10.1007/s10827-014-0526-4 ◽

2014 ◽

Vol 38 (1) ◽

pp. 53-66 ◽

Author(s):

Zachary Danziger ◽

Warren M. Grill

Keyword(s):

Stochastic Resonance ◽

Neuron Model ◽

Rectangular Pulse ◽

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Bat optimization based neuron model of stochastic resonance for the enhancement of MR images

Journal of Applied Biomedicine ◽

10.1016/j.bbe.2016.10.006 ◽

2017 ◽

Vol 37 (1) ◽

pp. 124-134 ◽

Author(s):

Munendra Singh ◽

Ashish Verma ◽

Neeraj Sharma

Keyword(s):

Stochastic Resonance ◽

Neuron Model ◽

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Stochastic resonance in a single neuron model: Theory and analog simulation

Journal of Theoretical Biology ◽

10.1016/s0022-5193(05)80396-0 ◽

1991 ◽

Vol 152 (4) ◽

pp. 531-555 ◽

Author(s):

Adi Bulsara ◽

E.W. Jacobs ◽

Ting Zhou ◽

Frank Moss ◽

Laszlo Kiss

Keyword(s):

Stochastic Resonance ◽

Model Theory ◽

Single Neuron ◽

Neuron Model ◽

Analog Simulation

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Reverse stochastic resonance in a hippocampal CA1 neuron model

2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) ◽

10.1109/embc.2013.6610731 ◽

2013 ◽

Author(s):

Dominique M. Durand ◽

Minato Kawaguchi ◽

Hiroyuki Mino

Keyword(s):

Stochastic Resonance ◽

Neuron Model ◽

Hippocampal Ca1

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RESONANCE-LIKE PHENOMENA IN ARRAYS OF RÖSSLER OSCILLATORS UNDER CORRELATED PARAMETRIC FLUCTUATIONS

International Journal of Bifurcation and Chaos ◽

10.1142/s021812740100370x ◽

2001 ◽

Vol 11 (10) ◽

pp. 2663-2668 ◽

Author(s):

M. N. LORENZO ◽

V. PÉREZ-MUÑUZURI ◽

R. DEZA ◽

J. L. CABRERA

Keyword(s):

Stochastic Resonance ◽

Power Law ◽

Coupling Strength ◽

Correlation Time ◽

Noise Intensity ◽

Noise Correlation ◽

Parametric Fluctuations

The behavior of diffusively coupled Rössler oscillators parametrically perturbed with an Ornstein–Uhlenbeck noise is analyzed in terms of the degree of synchronization between the cells. A resonance-like behavior is found as a function of the noise correlation time, instead of the noise intensity as it occurs in the typical stochastic resonance. A power law scaling between the "optimum" correlation time with regard to synchronization and the deterministic time scale of the oscillators has been obtained, with an exponent that depends on the coupling strength.

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