| Some Properties of Fractals Generated by Linear Cellular Automata |
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| 作者姓名： | 倪天佳 |
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| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
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| 摘 要： | Fractals and cellular automata are both significant areas of research in nonlinear analysis. This paper studies a class of fractals generated by cellular automata. The patterns produced by cellular automata give a special sequence of sets in Euclidean space. The corresponding limit set is shown to be a fractal and the dimension is independent of the choice of the finite initial seed. As opposed to previous works, the fractals here do not depend on the time parameter.
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| 关 键 词： | 线性细胞自动机 分形 欧氏空间 自相似集 |
Some Properties of Fractals Generated by Linear Cellular Automata |
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| NI Tianjia.Some Properties of Fractals Generated by Linear Cellular Automata[J].Tsinghua Science and Technology,2003,8(5):557-563. |
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| Authors: | NI Tianjia |
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| Institution: | NI TianjiaDepartment of Mathematical Sciences,Tsinghua University,Beijing 100084,China |
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| Abstract: | Fractals and cellular automata are both significant areas of research in nonlinear analysis. This paper studies a class of fractals generated by cellular automata. The patterns produced by cellular automata give a special sequence of sets in Euclidean space. The corresponding limit set is shown to be a fractal and the dimension is independent of the choice of the finite initial seed. As opposed to previous works, the fractals here do not depend on the time parameter. |
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| Keywords: | fractal cellular automata similitude |
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