计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (1): 61-62.DOI: 10.3778/j.issn.1002-8331.2009.01.018

• 理论研究 • 上一篇    下一篇

广义Julia分形图对迭代参数依赖性的研究

邓珠子,任 波,秦宣云   

  1. 1.湖南涉外经济学院 理学部,长沙 410205
    2.创智新程软件教育,长沙 410002
    3.中南大学 数学科学与计算技术学院,长沙 410083
  • 收稿日期:2008-07-10 修回日期:2008-10-14 出版日期:2009-01-01 发布日期:2009-01-01
  • 通讯作者: 邓珠子

Research for relationship between general Julia set and iteration parameters

DENG Zhu-zi,REN Bo,QIN Xuan-yun   

  1. 1.Department of Science,Hunan International Economics University,Changsha 410205,China
    2.CHANG ZHI XIN CHENG Software Education,Changsha 410002,China
    3.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China
  • Received:2008-07-10 Revised:2008-10-14 Online:2009-01-01 Published:2009-01-01
  • Contact: DENG Zhu-zi

摘要: 采用逃逸时间算法对ωZ时,参数c与广义Julia分形图之间的关系进行大量实验研究,总结得出当参数ω为奇数,参数c为反共轭时所构造的广义Julia集关于虚轴对称,并进一步对结论进行理论上的证明。

Abstract: Lots of experimental researches are done on the relation of parameter c and general Julia set when ωZ using the escape time algorithm.An important conclusion is drawn that virtual axis is the axis of symmetry of general Julia set when parameter ω is odd and c are anti-conjugation.And then this conclusion is proved theoretically.