Anomalous oscillations of average transient lifetimes near crises

Krzysztof Kacperski; Janusz A. Holyst

doi:10.1016/s0375-9601(99)00083-3

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arXiv · chao-dyn/9811007

Anomalous oscillations of average transient lifetimes near crises

Krzysztof Kacperski·Janusz A. Holyst

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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.

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Krzysztof Kacperski, Janusz A. Holyst. 1998-11-03. Anomalous oscillations of average transient lifetimes near crises. https://doi.org/10.1016/s0375-9601(99)00083-3

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