1999
DOI: 10.1103/physrevlett.83.4896
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Noise-Enhanced Phase Synchronization in Excitable Media

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Cited by 224 publications
(100 citation statements)
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References 45 publications
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“…The model was identical to that of Neiman et al ͑1999͒. Similarly to what occurred with AESR, the maximum of the coherence factor displays nonmonotonous behavior with respect to the coupling constant, the most pronounced enhancement occurring at intermediate values, whereas neutral improvement with respect to a single element is observed for large values of the coupling constant.…”
Section: Stochastic Coherence In Extended Mediamentioning
confidence: 71%
See 1 more Smart Citation
“…The model was identical to that of Neiman et al ͑1999͒. Similarly to what occurred with AESR, the maximum of the coherence factor displays nonmonotonous behavior with respect to the coupling constant, the most pronounced enhancement occurring at intermediate values, whereas neutral improvement with respect to a single element is observed for large values of the coupling constant.…”
Section: Stochastic Coherence In Extended Mediamentioning
confidence: 71%
“…The quiescent state is represented in black, the excited state in white. From Neiman et al, 1999. oscillatory behavior ͑Postnov et al, 2002͒. Propagation effects ͑noise only acting on the first unit of an array͒ were explored in a full-scale experiment by the same group ͑Postnov et al, 1999͒.…”
Section: Stochastic Coherence In Extended Mediamentioning
confidence: 99%
“…A specific type of collective behavior of stochastic excitable media is the excitation of global oscillations accompanied by mutual synchronization of the individual units [44][45][46][47][48][49][50][51][52]. It is due to the amplification of an oscillatory mode that occurs at a moderate noise intensity [53][54][55][56].…”
Section: Mean Field Equationsmentioning
confidence: 99%
“…Theoretical [36][37][38][39][40][41][42] and experimental [43][44][45] works on coherence resonance addressed excitable dynamical systems that typically generate bursting time series. In such a system, there is usually a reference or a "silent" state, e.g., a fixed point, near which a trajectory can spend long stretches of time.…”
Section: Stochastic Driving Forcementioning
confidence: 99%
“…Quantitatively, associated with coherence resonance, the temporal regularity of the system dynamics depends on the noise amplitude and it can be maximized by noise of optimal amplitude. There were extensive studies of coherence resonance in the past decades both theoretically [36][37][38][39][40][41][42] and experimentally [43][44][45]. For low-dimensional chaotic systems, coherence resonance has also been studied [33,34,[46][47][48].…”
Section: Introductionmentioning
confidence: 99%