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二维保面积映射的拓扑熵
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.
作者姓名:马选荣  刘伍明
作者单位:宁夏大学物理系 (马选荣),中科院金属所(刘伍明)
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。

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
Ma Xuanrong.Topological Entropy of Two-Dimensional Area-Preserving Maps[J].Journal of Ningxia University(Natural Science Edition),1992,13(2):42-46.
Authors:Ma Xuanrong
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.
Keywords:2D area-preserving  topological entropy  Lyapunov exponent
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