Overlapping of two truncated crisis scenarios: Generator of peaks in mean lifetimes of chaotic transients

Paar, Vladimir and Pavin, Nenad (2003) Overlapping of two truncated crisis scenarios: Generator of peaks in mean lifetimes of chaotic transients. Physical Review E, 68 (3). pp. 36222-6. ISSN 1539-3755

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Abstract

Maxima of mean transient time versus driving amplitude were found for weakly dissipated Duffing oscillator. In the neighborhood of peak of mean transient time an approximate power-law dependence was found. This behavior was compared with scaling in the vicinity of crisis point and interpreted as crossing of two neighboring crisis points which appears with decrease of driving amplitude. At this point chaotic attractor was destroyed and chaotic transient, exhibiting a maximum in the lifetime was borned. It was shown that the peak of mean lifetime has a regular behavior described by quadratic function.

Item Type: Article
Keywords: chaotic transients, crisis scenario, mean lifetimes, Duffing oscillator, chaotic attractor
Date: September 2003
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2003) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119250
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 23 May 2014 10:55
Last Modified: 23 May 2014 10:55
URI: http://digre.pmf.unizg.hr/id/eprint/1643

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