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This paper presents and compares two-parameter bifurcation diagrams obtained from the 0-1 test for chaos and sample entropy methods for nonlinear oscillating systems. Based on the computed diagrams it is often possible to establish a unique correspondence between the two types of diagrams. Comparison of the diagrams are presented for typical chaotic systems, including those of Lorenz, R&#x00F6;ssler, electric arc circuits and chemical oscillating systems. The two types of bifurcation diagrams may also be related to the period<inline-formula> <tex-math notation="LaTeX">$-n$ </tex-math></inline-formula> and frequency distribution diagrams. The main goal is to address the issue of obtaining similar results from the 0-1 test for chaos and sample entropy methods and discuss difficulty in properly selecting parameters needed in the two methods. A possible link between the 0-1 test for chaos and surrogate data methods is also mentioned.

Two-Parameter 0-1 Test for Chaos and Sample Entropy Bifurcation Diagrams for Nonlinear Oscillating Systems