NEW SIERPINSKI CURVE JULIA SETS

VINAY KUMAR MISHRA; QUAZI SHOEB; MANISH KUMAR

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NEW SIERPINSKI CURVE JULIA SETS

机译：新的SIERPINSKI曲线朱莉娅套装

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Julia sets and recently invented Superior Julia sets have been studied through Picard and Superior iterations respectively. Rational maps and its generalizations have been involved extensively using the function iteration. In this paper we introduced Superior iterations in the study of Julia sets for rational maps of the form f_λ (z) = z~2 + λ/z~2 when λ≠0,, our new Sierpinski curve Julia sets are effectively different from those obtained by others.

机译：Julia集和最近发明的Superior Julia集已分别通过Picard和Superior迭代进行了研究。使用函数迭代已广泛涉及有理映射及其概括。在本文中，我们在Julia集的研究中引入了高级迭代，用于形式为f_λ（z）= z〜2 +λ/ z〜2的有理图，当λ≠0时，我们的新Sierpinski曲线Julia集实际上不同于那些由他人获得。

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来源
《Acta Ciencia Indica》 |2011年第3期|p.631-640|共10页
作者
VINAY KUMAR MISHRA; QUAZI SHOEB; MANISH KUMAR;
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作者单位

Department of Computer Science, Srmcem, Faizabad Road,Tiwari Ganj, Lucknow-227105 (U.P), India;

Department of Applied Science, Integaral University, Lucknow (U.P.), India;

Department of Computer Science, B1TM, Lucknow (U.P.), India;

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正文语种 eng
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关键词
superior iteration; rational maps; sierpinski curve; sierpinski gasket; julia set;

机译：更好的迭代;有理图谢尔宾斯基曲线sierpinski垫片;朱莉娅集;

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1. Cantor sets of circles of Sierpinski curve Julia sets [J] . Devaney RL Ergodic Theory and Dynamical Systems . 2007,第5期

机译：Sierpinski曲线Julia集的Cantor集圆
2. Dynamic classification of escape time Sierpinski curve Julia sets [J] . Devaney RL, Pilgrim KM Fundamenta Mathematicae . 2009,第2期

机译：逃逸时间Sierpinski曲线Julia集的动态分类
3. Symbolic dynamics for a Sierpinski curve Julia set journals [J] . Devaney RL, Look DM Journal of difference equations and applications . 2005,第7期

机译：Sierpinski曲线的符号动力学Julia set轴颈
4. Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings [C] . Calum Spicer, Robert S. Strichartz, Emad Totari AMS Special Session on Fractal Geometry in Pure and Applied Mathematics in Memory of Benoit Mandelbrot;AMS Special Session on Geometry and Analysis on Fractal Spaces . 2013

机译：朱莉娅的拉普拉斯套装III：立方朱莉娅套和正式的果实
5. Computational complexity of Euclidean sets: Hyperbolic Julia sets are poly-time computable. [D] . Braverman, Mark. 2004

机译：欧几里得集的计算复杂度：双曲Julia集是可多次计算的。
6. An Image Encryption Algorithm Utilizing Julia Sets and Hilbert Curves [O] . Yuanyuan Sun, Lina Chen, Rudan Xu, -1

机译：利用茱莉亚集和希尔伯特曲线的图像加密算法
7. Cantor Sets of Circles of Sierpinski Curve Julia Sets [O] . Robert L. Devaney lambda 2006

机译：Sierpinski曲线圆的Cantor集Julia集

NEW SIERPINSKI CURVE JULIA SETS

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