dorsal/arxiv
View SchemaThe synchronization of stochastic oscillators
| Authors | Amitabha Nandi, G. Santhosh, R. K. Brojen Singh, Ram Ramaswamy |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0608022 |
| URL | https://arxiv.org/abs/q-bio/0608022 |
Abstract
We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic oscillators does not occur, but appropriately defined oscillator phase variables coincide. This is illustrated in model chemical systems and genetic networks that produce oscillations in the dynamical variables, and we show that suitable coupling of different networks can result in their phase synchronization.
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"abstract": "We examine microscopic mechanisms for coupling stochastic oscillators so that\nthey display similar and correlated temporal variations. Unlike oscillatory\nmotion in deterministic dynamical systems, complete synchronization of\nstochastic oscillators does not occur, but appropriately defined oscillator\nphase variables coincide. This is illustrated in model chemical systems and\ngenetic networks that produce oscillations in the dynamical variables, and we\nshow that suitable coupling of different networks can result in their phase\nsynchronization.",
"arxiv_id": "q-bio/0608022",
"authors": [
"Amitabha Nandi",
"G. Santhosh",
"R. K. Brojen Singh",
"Ram Ramaswamy"
],
"categories": [
"q-bio.QM",
"cond-mat.stat-mech",
"nlin.CD",
"q-bio.MN"
],
"title": "The synchronization of stochastic oscillators",
"url": "https://arxiv.org/abs/q-bio/0608022"
},
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