开关广义Julia集

Generalized Julia Sets of Switched Processes

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·

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.