摘要
研究了复迭代zn+ 1= zmn+c的广义Mandelbrot集 ,证明了其关于实轴是对称的 ,并且具有m + 1次的旋转对称性 ,得出周期轨道的稳定性条件及一周期轨道的稳定区域的边界方程·利用逃逸时间算法和周期点查找算法构造Mandelbrot集 。
The general Mandelbrot sets generated by z n+1 = m n+c were studied. The Mandelbrot sets proved to be symmetrical by reflection of the real axis, and to have m+1 -way of rotationally symmetric. The stability condition of periodic orbits and the boundary curve of stability region of 1-periodic orbit were given, and the general Mandelbrot sets were constructed by the escape time method and the periodic scanning algorithm. These methods present a better understanding of the structure of the Mandelbrot sets.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2000年第5期469-472,共4页
Journal of Northeastern University(Natural Science)
基金
国家博士点学科专项科研基金! ( 970 14510 )
辽宁省自然科学基金! ( 962 177)
