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Phys. Rev. E 68, 016216 (2003) [7 pages]

Stochastic multiresonance due to interplay between noise and fractals

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S. Matyjaśkiewicz1,2,3, A. Krawiecki1, J. A. Hołyst1, and L. Schimansky-Geier2
1Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
2Institute of Physics, Humboldt University at Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany
3Department of Applied Mathematics, Warsaw Agricultural University, Nowoursynowska 166, PL-02-787 Warsaw, Poland

Received 14 March 2003; published 21 July 2003

Stochastic multiresonance is shown to occur in a general class of threshold-crossing systems, in which a derivative of the threshold-crossing probability with respect to a system parameter is a nonmonotonic function of the noise intensity. As an example, a two-dimensional chaotic map is considered, where the threshold-crossing probability follows the overlap of the fractal structures of chaotic saddles and the basins of escape in noise-induced crisis. The analytic theory is in reasonable agreement with the numerical results for spectral power amplification.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.016216
DOI:
10.1103/PhysRevE.68.016216
PACS:
05.45.-a, 05.40.-a