On the Computational Determination of the Nature of Solutions of Nonlinear Systems with Stochastic Inputs

摘要

Nonlinear dynamics problems prove difficult to investigate analytically or numerically if probabilistic terms are involved in their equations. This paper develops a technique for handling problems of this type that is practical only if a high speed computer is available to perform the attendant computations. The method is general, but was applied to the Van der Pol equation.