Sprott J C, Xiong Anda
Physics Department, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706, USA.
Chaos. 2015 Aug;25(8):083101. doi: 10.1063/1.4927643.
A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary dimensions. There are four basic classes depending on their size and extent, and each class can be further quantified to facilitate comparisons. The calculation uses a Monte Carlo method and is applied to numerous common dissipative chaotic maps and flows in various dimensions.
提出了一种对任意维动力系统吸引子的盆地进行分类的方案。根据其大小和范围有四个基本类别，并且每个类别可以进一步量化以方便比较。该计算使用蒙特卡罗方法，并应用于各种维度的众多常见耗散混沌映射和流。
