二维立方映象的分形流域边界 |
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引用本文: | 吕树臣,夏德勇.二维立方映象的分形流域边界[J].哈尔滨师范大学自然科学学报,1991,7(1):32-35. |
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作者姓名: | 吕树臣 夏德勇 |
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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: | 本文研究了一个二维立方映象的分形流域边界的结构和性质,利用函数分析法研究了流域边界的解析性质,计算了Lyapunov指数并与数值计算结果进行了比较。
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关 键 词: | 流域边界 分形 Lyapunov指数 |
FRACTAL BASIN BOUNDARY OF A TWO DIMENSION CUBIC MAP |
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Institution: | Harbin Normal Uuiversity |
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Abstract: | Structure and properties of the fractal basin boundary of a two-dimension cubic map is investigated. The of the basin boundary are also studied by using perturbation analysis. The Lyapunov exponent are calculated, and compared with the result of numerical computation. |
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Keywords: | Fractal basin boundary The Lyapunov exponent Attractor |
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