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Behavior of dynamical systems in the regime of transient chaos

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Abstract

The transient chaos regime in a two-dimensional system with discrete time (Eno map) is considered. It is demonstrated that a time series corresponding to this regime differs from a chaotic series constructed for close values of the control parameters by the presence of “nonregular” regions, the number of which increases with the critical parameter. A possible mechanism of this effect is discussed.

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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 29, No. 22, 2003, pp. 1–9.

Original Russian Text Copyright © 2003 by Astaf’ev, Koronovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Khramov.

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Astaf’ev, G.B., Koronovskii, A.A. & Khramov, A.E. Behavior of dynamical systems in the regime of transient chaos. Tech. Phys. Lett. 29, 923–926 (2003). https://doi.org/10.1134/1.1631365

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