| 二维立方映象流域边界的结构和解析表示 |
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| 引用本文： | 吕树臣,韩赋.二维立方映象流域边界的结构和解析表示[J].哈尔滨师范大学自然科学学报,1992,8(3):39-42. |
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| 作者姓名： | 吕树臣 韩赋 |
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| 作者单位： | 哈尔滨师范大学，哈尔滨师范大学 |
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| 摘 要： | 本文采用函数分析法进一步研究了二雏立方映象的流域边界的结构和解析性质。构造了流域边界的解析形式,给出了流域的全部边界并发现流域边界在参量变化的情况下从光滑变到分形发生在该边界自身上。
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| 关 键 词： | 分形 流域边界 奇怪吸引子 吸奇子 |
STRUCTURE AND ANALYTICAL EXPRESSION OF THE BASIN BOUNDARY OF A TWO-DIMENSIONAL CUBIC MAP |
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| Lu Shuchen Han Bin.STRUCTURE AND ANALYTICAL EXPRESSION OF THE BASIN BOUNDARY OF A TWO-DIMENSIONAL CUBIC MAP[J].Natural Science Journal of Harbin Normal University,1992,8(3):39-42. |
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| Authors: | Lu Shuchen Han Bin |
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| Institution: | Harbin Normal University |
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| Abstract: | Structure and analytical properties of the basin boundary of a two-dimensional cubic map are investigated further in the present paper by using functional analysis. The analytical formalism of the basin boundary is given, and all of the basin boundary are found. We find in this paper that the basin boundary changing from being smooth to being fractal occur on the basin boundary itself as a parameter of the system is varied |
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| Keywords: | Fractal basin boundary Fractal dimension Strange attractor |
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