开关广义Julia集

推广了Lakhtakia所提出的开关Julia集(简称开关J集)的构造方法,构造出一系列开关广义J集·对在开关映射作用下复Z平面上初始点的轨道进行了分析,给出了开关广义J集的结构特征·对开关广义J集的构造算法进行了研究,发现开关广义J集具有分形结构,其演化过程依赖于相角主值范围的选取·

Generalized Julia Sets of Switched Processes

The method for constructing the J(Julia) sets of switched processes proposed by Lakhtakia was elaborated, and used to construct a series of the generalized J sets of switched processes. The trajectories of a starting point in the complex z plane under switch mapping were analyzed. The construction characteristics of the generalized J sets of switched processes were described. The algorithm of constructing the generalized J sets of switched processes was studied. The generalized J sets of switched processes have the fractal feature, and the different evolution of the generalized J sets of switched processes results from the different choice of principal range for the phase angle.