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On the 0/1 test for chaos in continuous systems

Melosik M., Marszalek W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

Vol. 64, nr 3

521--528

In this paper we discuss in detail the resonance and oversampling features of the 0/1 test for chaos in continuous systems and propose methods to avoid those undesired features. Our method is based on certain frequency properties of the 0/1 test. When reconstructing the phase space, our approach is compared with the first minimum of the mutual information method. Several numerical results for typical chaotic systems (including memristive circuits) are included.