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

Scientific paper - Original scientific paper

• Author: Vladimir Paar
• Author: Nenad Pavin
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): chaotic transients; crisis scenario; mean lifetimes; Duffing oscillator; chaotic attractor
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review E
• Numbering: vol. 68, no. 3, 036222
• p-ISSN: 1539-3755
• DOI: https://doi.org/10.1103/PhysRevE.68.036222
• URN:NBN: urn:nbn:hr:217:880254
• Publication: 2003
• Document URL: http://link.aps.org/doi/10.1103/PhysRevE.68.036222
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2003) by the American Physical Society.
• Created on: 2019-10-13 17:27:47