Cumulant Analysis of Rössler Attractor: Analytical Study

Abstract

This paper is dedicated to the cumulant analysis of the Rossler attractor, based on the so-called "degenerate cumulant equations method." The approach is ilustrated by the calculus of the first cumulants, which are necessary to create an approximation of the probability density function (PDF), applying the Gramm-Charlier series, the model distribution method, etc. An approximate method for the variance calculation at the output of the Rossler strange attractor is shown.