Stochastic resonance on a circle

Wiesenfeld, Kurt; Pierson, David; Pantazelou, Eleni; Dames, Chris; Moss, Frank

doi:10.1103/physrevlett.72.2125

Cited by 450 publications

(262 citation statements)

References 17 publications

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“…A periodically forced van der Pol-FitzHugh-Nagumo element shows behavior similar to a driven oscillator: phase locking, quasiperiodicity, period doubling, and chaos [34]. A quiescent excitable element may be excited by driving with a combination of a periodic subthreshold signal plus noise [35] or with an aperiodic subthreshold signal plus noise [36], phenomena which have been termed stochastic resonance, or with noise alone [37], when the phenomenon has been termed coherence resonance. Here, we have seen that even without any external forcing, either periodic or stochastic, a heterogeneous excitable medium can become self-excited to produce global oscillations.…”

Section: Discussionmentioning

confidence: 99%

Emergent global oscillations in heterogeneous excitable media: The example of pancreaticβcells

Cartwright¹

2000

Phys. Rev. E

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Using the standard van der Pol-FitzHugh-Nagumo excitable medium model I demonstrate a novel generic mechanism, diversity, that provokes the emergence of global oscillations from individually quiescent elements in heterogeneous excitable media. This mechanism may be operating in the mammalian pancreas, where excitable β cells, quiescent when isolated, are found to oscillate when coupled despite the absence of a pacemaker region.

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Section: Discussionmentioning

confidence: 99%

Emergent global oscillations in heterogeneous excitable media: The example of pancreaticβcells

Cartwright¹

2000

Phys. Rev. E

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“…In the classical situation, SR consists of an optimization by noise of the response of a bistable system to a weak periodic signal. Besides this standard scenario, SR has also been found in monostable [10], excitable [11], nondynamical [12], and thresholdless [13] systems, in systems without an external force (what is called coherence resonance) [14,15], and in systems with transient noiseinduced structure [16].…”

mentioning

confidence: 99%

Noise Induced Propagation in Monostable Media

et al. 2001

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We show that external fluctuations are able to induce propagation of harmonic signals through monostable media. This property is based on the phenomenon of doubly stochastic resonance, where the joint action of multiplicative noise and spatial coupling induces bistability in an otherwise monostable extended medium, and additive noise resonantly enhances the response of the system to a harmonic forcing. Under these conditions, propagation of the harmonic signal through the unforced medium is observed for optimal intensities of the two noises. This noise-induced propagation is studied and quantified in a simple model of coupled nonlinear electronic circuits.

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“…Such an effect is seen when the response of a system to a drive depends non-monotonically on noise, with an optimum at a moderate, non-zero, noise level. There are many pointers in the literature to physical evidences of stochastic resonance in physical systems [69,11,23,24,47,71,70], and in models of neurons [8,42,55,54]. In living systems stochastic resonance has been reported in crayfish mechanoreceptors [16], the cricket cercal sensory system [40], neural slices [27], hippocampus [72], and the cortex [48].…”

Section: A Relation To Stochastic Resonance: Model Bmentioning

confidence: 99%

Transient information flow in a network of excitatory and inhibitory model neurons: Role of noise and signal autocorrelation

Mayor

Gerstner

2004

Journal of Physiology-Paris

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We investigate the performance of sparsely-connected networks of integrate-and-fire neurons for ultra-short term information processing. We exploit the fact that the population activity of networks with balanced excitation and inhibition can switch from an oscillatory firing regime to a state of asynchronous irregular firing or quiescence depending on the rate of external background spikes.We find that in terms of information buffering the network performs best for a moderate, non-zero, amount of noise. Analogous to the phenomenon of stochastic resonance the performance decreases for higher and lower noise levels. The optimal amount of noise corresponds to the transition zone between a quiescent state and a regime of stochastic dynamics. This provides a potential explanation of the role of non-oscillatory population activity in a simplified model of cortical micro-circuits.

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Stochastic resonance on a circle

Cited by 450 publications

References 17 publications

Emergent global oscillations in heterogeneous excitable media: The example of pancreaticβcells

Emergent global oscillations in heterogeneous excitable media: The example of pancreaticβcells

Noise Induced Propagation in Monostable Media

Transient information flow in a network of excitatory and inhibitory model neurons: Role of noise and signal autocorrelation

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