Abstract
A simple method of elimination of fast variables in nonlinear systems is proposed. The method can be carried out to any desired order in the parameter which determines the separation of time scales. Two models are discussed: a deterministic set of equations with appropriate initial ensembles of the fast-varying variables, and a stochastic set of equations. In the first model the reduced equation of motion for the relevant variable is still deterministic. The second model is discussed in light of observed nonlinear effects near nonequilibrium instabilities.
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