Anomalous oscillations of average transient lifetimes near crises

Krzysztof Kacperski , Janusz Hołyst

Abstract

It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map.
Author Krzysztof Kacperski IT
Krzysztof Kacperski,,
- The Institute of Telecommunications
, Janusz Hołyst WF
Janusz Hołyst,,
- Faculty of Physics
Journal seriesApplied Physics Letters, ISSN 0003-6951
Issue year1998
Vol254
No1-2
Pages53–58
Keywords in EnglishNonlinear Sciences - Chaotic Dynamics
DOIDOI:10.1016/S0375-9601(99)00083-3
URL http://dx.doi.org/10.1016/S0375-9601(99)00083-3
Languageen angielski
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Score (nominal)0
Publication indicators WoS Impact Factor: 2006 = 3.977 (2) - 2007=4.068 (5)
Citation count*15 (2018-07-14)
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