Validation of a modified 0-1 test for chaos identification in Duffing-Van der Pol oscillator

The reliability of the 0-1 test for chaos identification may be influenced by the modalities of sampling with respect to the time scales inherent in the system under consideration. In a previous work, the Authors proposed a modified version of the test based on the consideration of the time series of the local maxima of the basic trajectories. In this work, the effectiveness of the modified method is further validated by analyzing typical periodic, quasiperiodic and chaotic oscillations in the well-known Duffing-Van der Pol oscillator. The results show that transitions from regular to chaotic motion can be easily detected and that the proposed method leads to the correct results that are confirmed by standard methods like the usual 0-1 test based on Poincare ́ e points and also by the topology of corresponding Poincar ́ e maps and phase portraits