PMID: 11308566Apr 20, 2001Paper

Stochastic multiresonance in a chaotic map with fractal basins of attraction

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S MatyjaśkiewiczW Ebeling

Abstract

Noise-free stochastic resonance in a chaotic kicked spin model at the edge of the attractor merging crisis is considered. The output signal reflects the occurrence of crisis-induced jumps between the two parts of the attractor. As the control parameter-the amplitude of the magnetic field pulses-is varied, the signal-to-noise ratio shows plateaus and multiple maxima, thus stochastic multiresonance is observed. It is shown that the multiresonance occurs due to a fractal structure of the precritical attractors and their basins. In the adiabatic approximation theoretical expression for the signal-to-noise ratio is derived, based on the theory of oscillations in average crisis-induced transient lifetimes. Numerical and theoretical results agree quantitatively just above the threshold for crisis and qualitatively in a wide range of the control parameter.

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Citations

Jul 23, 2004·The Journal of Chemical Physics·Ya Ping Li, Qian Shu Li
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A KrawieckiJ A Hołyst
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Erico L Rempel, Abraham C-L Chian
Apr 1, 2018·Chaos·Huiyan LiJinghua Xiao
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S MatyjaśkiewiczL Schimansky-Geier

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