journal6 ›› 2003, Vol. 24 ›› Issue (2): 15-19.

• 物理与电子 • 上一篇    下一篇

变参数复迭代系统的吸引子及其分形图

  

  1. (南方冶金学院理学院,江西 赣州341000)
  • 出版日期:2003-06-15 发布日期:2012-11-07
  • 作者简介:黄贤通(1966- ),男,江西南康人,硕士,南方冶金学院理学院副教授,主要从事计算机图形学研究.
  • 基金资助:

    国家自然科学基金资助项目(19871024)

The Attractors and Fractal Images in the Complex Iterated Function System With Variable Parameter

  1. (Faculty of Science,Southern Institute of Metallurgy,Ganzhou 341000,Jiangxi China)
  • Online:2003-06-15 Published:2012-11-07

摘要:研究了一类变参数复迭代系统Zk+1=f(λk,Zk,Z-k)的吸引子分布规律,对该迭代系统的动力行为特征作了猜想,且利用研究结果和计算机可视化技术中的逃逸时间算法得到了若干二维n次迭代映射中的分形图,计算机图示实验的结果为猜想提供了佐证.

关键词: 变参数, 复迭代变换, 吸引子, 分形

Abstract: The attactors and fractal in the complex iterated function system with variable parameter were studied,and the dynamic behavior of this system was supposed.The fractal image of two-dementional n-time iterated projection was obtained by using the escape time algorithm of computer visuelization technique.The supposition was supported by the results of computer graphic experiment.

Key words: variable parameter, complex iterated function system;attractor, fractal

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