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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 1):051120. Epub 2011 Nov 17.

Effective stochastic behavior in dynamical systems with incomplete information.

Author information

1
Laboratory of Biological Modeling, NIDDK, NIH, Bethesda, Maryland 20892, USA.

Abstract

Complex systems are generally analytically intractable and difficult to simulate. We introduce a method for deriving an effective stochastic equation for a high-dimensional deterministic dynamical system for which some portion of the configuration is not precisely specified. We use a response function path integral to construct an equivalent distribution for the stochastic dynamics from the distribution of the incomplete information. We apply this method to the Kuramoto model of coupled oscillators to derive an effective stochastic equation for a single oscillator interacting with a bath of oscillators and also outline the procedure for other systems.

PMID:
22181382
PMCID:
PMC3457716
DOI:
10.1103/PhysRevE.84.051120
[Indexed for MEDLINE]
Free PMC Article

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