Stochastic multiresonance in a chaotic map with fractal basins of attraction

S. Matyjaśkiewicz, A. Krawiecki, J. A. Hołyst, K. Kacperski, W. Ebeling
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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
more » ... l 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.
doi:10.1103/physreve.63.026215 pmid:11308566 fatcat:mh3dt63djzamblecf7f3tfgcya