Abstract
This paper proposes a method invoking one dimensional piecewise continuous map(PCM) in order to investigate the order in chaotic oscillation and periodic oscillation in nonlinear dynamical systems described by ordinary differential equations. The systems studied in this paper are of Van der Pol-Mathieu type. The PCM is derived from the data sequence of state variables of nonlinear systems. Computational experiments on the systems of Van der Pol-Mathieu type and on the PCM show that the proposed method is effective to investigate the existence of chaotic oscillation and periodic oscillation in nonlinear dynamical systems such as Van der Pol-Mathieu type.
