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Extension of statistical replacement to systems with time-correlated fluctuations |
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| Authors: | J Kottalam Bruce J West Katja Lindenberg |
| Institution: | (1) Department of Chemistry, University of California at San Diego, 92093 La Jolla, California;(2) Institute for Nonlinear Science, University of California at San Diego, 92093 La Jolla, California;(3) Division of Applied Nonlinear Problems, La Jolla Institute, 92038 La Jolla, California |
| Abstract: | Nonlinear systems with correlated stochastic parameters are approximated by simpler systems. This method is an extension of an earlier version of statistical replacement and statistical linearization. The extended method is applicable to systems with correlated fluctuations. We show how this general method reduces to the earlier methods in special cases. |
| Keywords: | Statistical replacement statistical linearization Gaussian representation additive fluctuations multiplicative fluctuations correlated noise |
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