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Statistical replacement for systems with delta-correlated fluctuations |
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| Authors: | J. Kottalam Katja Lindenberg Bruce J. West |
| Affiliation: | (1) Department of Chemistry, University of California at San Diego, 92093 La Jolla, California;(2) Center for Studies of Nonlinear Dynamics, La Jolla Institute, 3252 Holiday Ct., Suite 208, 92038 La Jolla, California |
| Abstract: | Nonlinear systems with stochastic parameters are approximated by simpler systems using a method that we call  statistical replacement. This method is an extension of the previously developed AGREE which was restricted to systems with additive fluctuations. Statistical replacement incorporates the distinctions between globally stable thermodynamically closed systems and thermodynamically open systems that can be unstable. |
| Keywords: | Statistical replacement statistical linearization Gaussian representation additive fluctuations multiplicative fluctuations stable systems unstable systems |
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