title: Stochastic multiresonance due to interplay between noise and fractals.
abstract: 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.
authors.affiliation: Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland.
authors.forename: S
authors.initials: S
authors.lastname: Matyjaśkiewicz
authors.forename: A
authors.initials: A
authors.lastname: Krawiecki
authors.forename: J A
authors.initials: JA
authors.lastname: Hołyst
authors.forename: L
authors.initials: L
authors.lastname: Schimansky-Geier