Work

Effective stochastic behavior in dynamical systems with incomplete information

Year: 2011

Type: article

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.

Source: Physical Review E

DOI: 10.1103/physreve.84.051120

Authors: Michael A. Buice, Carson C. Chow

Institutions: National Institutes of Health, National Institute of Diabetes and Digestive and Kidney Diseases, The University of Texas at Austin

Language: English

Topic: stochastic dynamics and bifurcation

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Institutes of Health, National Institute of Diabetes and Digestive and Kidney Diseases

Award: Analysis of cortical function