摘要
首先介绍了Lorenz吸引子,接着通过对Lorenz方程组进行特征分析,得到了方程的3个奇点,并由此对Lorenz吸引子做了分类。随后,给出了一种用Mathematica演示Lorenz吸引子的方法,编制出一个立体动态演示Lorenz吸引子的程序。最后,绘制出验证蝴蝶效应的图形以观察初始条件的微小变化对Lorenz吸引子产生的影响。
The Lorenz attractors are first introduced. Then three singular points of the Lorenz equations are shown by analyzing their eigenvalues and so the Lorenz attractors are classified. After that, a method is given to display statically the Lorenz attractors by using Mathematica and a program is designed to display dynamically the Lorenz attractors in the three-dimensional space. Finally, a figure of the verification of the butterfly effect is plotted in order to observe the influence of the minute differences of the initial information on the Lorenz attractors.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第B06期130-132,共3页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金(10271121)
留学回国人员基金
