Quantifying the robustness of a chaotic system

Cite as: Chaos 32, 033124 (2022); doi: 10.1063/5.0077645
Submitted: 4 November 2021 · Accepted: 7 March 2022 ·
Published Online: 18 March 2022 View Online Export Citation CrossMark
J. C. Sprott^a)

AFFILIATIONS
Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison,Wisconsin 53706, USA
^a)Author to whom correspondence should be addressed: sprott@physics.wisc.edu

ABSTRACT
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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