| 二阶Carotid-Kundalini函数Julia分形集的特征 |
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| 引用本文： | 范延军,孙燮华. 二阶Carotid-Kundalini函数Julia分形集的特征[J]. 中国计量学院学报, 2003, 14(3): 210-212 |
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| 作者姓名： | 范延军 孙燮华 |
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| 作者单位： | 中国计量学院,信息工程学院,浙江,杭州,310034 |
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| 摘 要： | Julia分形图是研究复动力系统的一种有力工具.本文研究了由二阶Carotid-Kundalini函数f(z)=cos(Nz2arccos(z))+c生成的Julia分形图的性质:当c为实数和N为实数或纯虚数时,分形图具有对称性;当N为实数,c=0时,图形具有5主瓣和4个从主瓣上发出的触角,且触角无界.
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| 关 键 词： | 分形 Julia集 Carotid-Kundalini函数 Julia-CK集 |
| 文章编号： | 1004-1540(2003)03-0210-03 |
The characteristics of Julia set for Carotid-Kundalini function with order 2 |
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| FAN Yan|jun,SUN Xie|hua. The characteristics of Julia set for Carotid-Kundalini function with order 2[J]. Journal of China Jiliang University, 2003, 14(3): 210-212 |
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| Authors: | FAN Yan|jun SUN Xie|hua |
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| Abstract: | The Julia set is an effective tool in investigations of complex dynamical systems. In this paper, we will study the characteristics of the Julia set which is produced from complex Carotid|Kundalini function %f(z)% = cos(%Nz2%arccos(%z))+c%. We point out that the Julia set is symmetric for the real axis and if %N% is real number and %c%=0, there are five main petals and four antennae, and each antenna is boundless. |
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| Keywords: | fractal Julia set Carotid-Kundalini function Julia-CK set. - |
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