开关广义Mandelbrot集

基于开关复映射,阐述了开关广义Mandelbrot集(简称广义M集)的构造方法,并构造出一系列开关广义Mandelbrot集·在对开关映射作用下复C平面上初始点轨道的分析及开关广义M集构造算法研究的基础上,通过计算机实验,得出以下结论:①开关广义M集具有分形结构;②开关广义M集包含了构成开关映射的两个映射的部分稳定区;③开关广义M集的演化过程依赖于相角主值范围的选取

Generalized Mandelbort Sets of Switched Processes

Based on the switched mapping,a method to construct the generalized Mandelbort sets of switched processes was established. A series of the generalized Mandelbort sets of switched processes were then constructed. On the basis of the analyses of the trajectories of a starting point in the complex c plane under the switched map computer experiment was carried out to examine the sets. It is shown that the generalized Mandelbort sets of switched processes have the fractal feature. The subalfern attracted basins of the two maps in the switched map can be reproduced exactly in the generalized Mandelbort sets of switched processes. The evolution of the generalized Mandelbort sets of switched processes relys on the choice of principal range of the phase angle.