Quantifying the Robustness of a Chaotic System

J. C. Sprott
Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706

Submitted: 4 November 2021·Accepted: 7 March 2022·Published Online: 18 March 2022

As a way to quantify the robustness of a chaotic system, a scheme is proposed to determine the extent to which the parameters of the system can be altered before the probability of destroying the chaos exceeds 50%. The calculation uses a Monte-Carlo method and is applied to several common dissipative chaotic maps and flows with varying numbers of parameters.

Ref: J. C. Sprott, Chaos 32, 033124-1-6 (2022).

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