Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (1): 61-62.DOI: 10.3778/j.issn.1002-8331.2009.01.018

• 理论研究 • Previous Articles     Next Articles

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

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
  • 通讯作者: 邓珠子

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Abstract: Lots of experimental researches are done on the relation of parameter c and general Julia set when ω∈Z 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.

摘要： 采用逃逸时间算法对ω∈Z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。

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