摘要
将标准平面结晶体P1迭代公式中的自变量x,y用x3+c1,y3+c2替换,构造可视化平面动力系统.将原有的自变量的线性关系替换为自变量的非线性关系,提出了一种新的自变量的映射方法.并且运用蒙特卡罗搜索法寻找参数,运用李雅普诺夫指数来确定该动力系统的特性,绘制出该动力学系统的混沌吸引子和充满Julia集的图案。
Construct visualized planar dynamic systems,the nonlinear item is substituted for the linear item x or y of crystallographic group iterative mapping.We construct a new iterative mapping.Monte Carlo method is used to find the parameter vectors in the parameter space.The Lyapunov exponent is used to judge the characteristics of dynamical systems.A great of chaotic attractors and filled-in Julia sets can be continuously tiled without gaps in the plane.
出处
《科技广场》
2010年第1期49-50,共2页
Science Mosaic
