Truncation Approximants and Their Qualities in the Probabilistic Evolution of Van der Pol Equation Under Initial Conditions

摘要

This work describes an Evolution Matrix for Van der Pol Equation and determines truncation approximants for this equation under given initial conditions. The Space Extension method is used to get conicality, so we obtain Evolution Matrix in triangular form. In the determination of Evolution Matrix Kronecker Product is employed. Finally, eigenvalues are found for the Truncated Evolution Matrix.