Stochastic Synchronization of Coupled Coherence Resonance Oscillators

Postnov, Dmitry E.; Sosnovtseva, Olga; Han, Seung Kee; Yim, Tae Gyu

doi:10.1142/s0218127400001705

Cited by 13 publications

(4 citation statements)

References 33 publications

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“…Noise-induced phase synchronization and noise-enhanced phase synchronization of coupled HH neurons and ML neurons were studied in [149,[151][152][153]. In numerical simulations, the authors in [149] introduced a mismatch into the leakage parameter in the HH model and keep the other parameters identical.…”

Section: Effects Of Noise On Synchronization Of Coupled Neuronsmentioning

confidence: 99%

Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis

Yang

et al. 2008

Acta Mech Sin

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Recent advances in the experimental and theoretical study of dynamics of neuronal electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns, are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast-slow dynamics analysis for classification and mechanism of various bursting patterns, one-or two-parameter bifurcation analysis for transitions of firing patterns, and stochastic dynamics of firing activities (stochastic and coherence resonances, integer multiple and other firing patterns induced by noise, etc.).types of synchronization of coupled neurons with electrical and chemical synapses are discussed. As noise and time delay are inevitable in nervous systems, it is found that noise and time delay may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented for future research. In consequence, the idea and methods of nonlinear dynamics are of great significance in exploration of dynamic processes and physiological functions of nervous systems.

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Section: Effects Of Noise On Synchronization Of Coupled Neuronsmentioning

confidence: 99%

Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis

Yang

et al. 2008

Acta Mech Sin

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“…It has been shown that the two different schemes of synchronization observed in periodic oscillators apply also to the synchronization of chaotic oscillators [4,5]. We have shown [6] that stochastic oscillators with coherent resonance [7] can be synchronized, and two different schemes of synchronization were again observed [8].…”

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confidence: 69%

Synchronization of toggle switches coupled through a common inhibitor

Nguyen

Han

2010

EPL

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We have investigated the synchronization of discrete jump events arising from two coupled toggle switches. The toggle switches, composed of positive-feedback loops with bistability, were coupled through two branches of double negative-feedback loops induced by a common inhibitor. From a bifurcation analysis of the coupled feedback systems, we show that there are two different mechanisms of synchronization. One is based on the merging of bistabilities and the other on the suppression of intrinsic bistability by the strong bistability induced by the common inhibitor. The dependence of the synchronization on the strength of the double negative-feedback loop is presented.

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“…In particular, coherence resonance phenomenon shows that noise enhances the temporal regularity of a dynamical system, which was first noticed by Sigeti and Horsthemke [29] and then theoretically analyzed by Pikovsky and Kurths [24]. Since then, a plethora of theoretical and experimental works including coupled coherence resonance oscillators [13,26] and coupled chaotic systems [16,36] has appeared, which is mainly based on analysis of resonance. All of these studies indicate that noise can play a stabilizing role, and has an effect to drive the stochastic system towards rather regular dynamics.…”

Section: Discussionmentioning

confidence: 99%