Matyjaśkiewicz S, Krawiecki A, Hołyst J A, Schimansky-Geier L
Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016216. doi: 10.1103/PhysRevE.68.016216. Epub 2003 Jul 21.
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.
随机多共振在一类一般的阈值穿越系统中被证明会出现，其中阈值穿越概率相对于系统参数的导数是噪声强度的非单调函数。作为一个例子，考虑一个二维混沌映射，其中阈值穿越概率遵循混沌鞍点的分形结构与噪声诱导危机中逃逸盆地的重叠。解析理论与频谱功率放大的数值结果合理一致。
