Matyjaśkiewicz S, Krawiecki A, Holyst J A, Kacperski K, Ebeling W
Faculty of Physics, Warsaw University of Technology Koszykowa 75, PL-00-662 Warsaw, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):026215. doi: 10.1103/PhysRevE.63.026215. Epub 2001 Jan 25.
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.
研究了处于吸引子合并危机边缘的混沌踢自旋模型中的无噪声随机共振。输出信号反映了吸引子两部分之间由危机引发的跳跃的发生。随着控制参数（磁场脉冲的幅度）的变化，信噪比呈现出平台期和多个最大值，从而观察到随机多共振现象。结果表明，多共振是由于临界前吸引子及其盆地的分形结构而产生的。在绝热近似下，基于平均危机诱导瞬态寿命的振荡理论，推导了信噪比的理论表达式。数值和理论结果在略高于危机阈值时定量相符，在控制参数的广泛范围内定性相符。
