| 三阶矩阵迭代的混沌图形生成实践 |
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| 引用本文： | 黄波,李华山. 三阶矩阵迭代的混沌图形生成实践[J]. 北方工业大学学报, 2003, 15(3): 7-10,14 |
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| 作者姓名： | 黄波 李华山 |
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| 作者单位： | 北方工业大学信息工程学院,100041,北京石景山 |
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| 摘 要： | 研究了三阶矩阵单步迭代公式和一类三阶矩阵多步迭代公式产生的离散动力系统，用VB6．O程序实现了迭代向量序列的可视化，给出一个由单步迭代公式生成的三维空间图形的算法，从不同观察角度绘制出透视图；并通过对一类三阶矩阵多步迭代公式的各单步迭代公式权值变化所得到的不同图象进行了定性分析，初步得出权值对图象混沌程度的影响规律。
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| 关 键 词： | 矩阵迭代 混沌 分形图形 计算机图形学 离散动力系统 可视化 |
Practice of Using Three-degree Matrix Iteration to Generate Chaotic Images |
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| HuangBo Li Huashan. Practice of Using Three-degree Matrix Iteration to Generate Chaotic Images[J]. Journal of North China University of Technology, 2003, 15(3): 7-10,14 |
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| Authors: | HuangBo Li Huashan |
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| Abstract: | The discrete dynamical systems produced by one iterated step, three degree matrix formula and a kind of multi iterated step, three degree matrix formula are investigated in this paper. The visualization of the sequence of interation vectors is realized by using VB6.0 language program, and a new algorithm is provided to produce the three dimensional images by one iterated step formula. The differences between images generated by changing the weights of every one iterated step formula in multi iterated step formula are discussed. The primary result shows to what degree of chaos the weight affects. |
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| Keywords: | iteration matrix dynamical systems chaos |
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