Correlations, fluctuations, and stability of a finite-size network of coupled oscillators
- Laboratory of Biological Modeling, NIDDK, NIH, Bethesda, Maryland 20892 (United States)
The incoherent state of the Kuramoto model of coupled oscillators exhibits marginal modes in mean field theory. We demonstrate that corrections due to finite size effects render these modes stable in the subcritical case, i.e., when the population is not synchronous. This demonstration is facilitated by the construction of a nonequilibrium statistical field theoretic formulation of a generic model of coupled oscillators. This theory is consistent with previous results. In the all-to-all case, the fluctuations in this theory are due completely to finite size corrections, which can be calculated in an expansion in 1/N, where N is the number of oscillators. The N{yields}{infinity} limit of this theory is what is traditionally called mean field theory for the Kuramoto model.
- OSTI ID:
- 21076211
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 76, Issue 3; Other Information: DOI: 10.1103/PhysRevE.76.031118; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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