| 二维保面积映射的拓扑熵 |
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| 引用本文： | 马选荣 刘伍明. 二维保面积映射的拓扑熵[J]. 宁夏大学学报(自然科学版), 1992, 13(2): 42-46 |
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| 作者姓名： | 马选荣 刘伍明 |
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| 作者单位： | 宁夏大学物理系(马选荣)，中科院金属所(刘伍明) |
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| 摘 要： | 本文从拓扑熵、信息熵和Lyapunov指数的定义出发,得到了二维保面积映射时上述三个物理量之间的关系式;通过计算映射的运动轨道的Lyapunov指数,研究了二维保面积映射的拓扑熵随不可积参数变化的规律。
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| 关 键 词： | 保面积映射 拓扑熵 李雅普诺夫指数 |
Topological Entropy of Two-Dimensional Area-Preserving Maps |
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| Ma Xuanrong. Topological Entropy of Two-Dimensional Area-Preserving Maps[J]. Journal of Ningxia University(Natural Science Edition), 1992, 13(2): 42-46 |
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| Authors: | Ma Xuanrong |
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| Abstract: | According to the thrce definitions: the topological entropy, the metric entropy and the Lyapunov exponent, we get the general relations among them in two-dimensional (2D) area-preserving maps. With calculating the Lyapunov exponent of motive orbits of these maps, we study topological entropy's varying law as the stochastic parameter. |
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| Keywords: | 2D area-preserving topological entropy Lyapunov exponent |
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