Transient chaos in the Lorenz-type map with periodic forcing

We consider a case study of perturbing a system with a boundary crisis of a chaotic attractor by periodic forcing. In the static case, the system exhibits persistent chaos below the critical value of the control parameter but transient chaos above the critical value. We discuss what happens to the s...

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Published inChaos (Woodbury, N.Y.) Vol. 28; no. 3; p. 033107
Main Authors Maslennikov, Oleg V, Nekorkin, Vladimir I, Kurths, Jürgen
Format Journal Article
LanguageEnglish
Published United States 01.03.2018
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Summary:We consider a case study of perturbing a system with a boundary crisis of a chaotic attractor by periodic forcing. In the static case, the system exhibits persistent chaos below the critical value of the control parameter but transient chaos above the critical value. We discuss what happens to the system and particularly to the transient chaotic dynamics if the control parameter periodically oscillates. We find a non-exponential decaying behavior of the survival probability function, study the impact of the forcing frequency and amplitude on the escape rate, analyze the phase-space image of the observed dynamics, and investigate the influence of initial conditions.
ISSN:1089-7682
DOI:10.1063/1.5018265