| 计算二维映射符号动力学和拓扑熵的方法 |
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| 引用本文： | 马选荣 赵明根. 计算二维映射符号动力学和拓扑熵的方法[J]. 宁夏大学学报(自然科学版), 1992, 13(3): 46-52 |
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| 作者姓名： | 马选荣 赵明根 |
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| 作者单位： | 宁夏大学物理系(马选荣)，山西忻州师专(赵明根)，中科院金属所(刘伍明) |
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| 摘 要： | 本文用从Hamilton量得到耗散映射轨道的方法,定义了动力学方程,建立了二维映射的符号动力学;从拓扑熵的定义,通过计算二维映射的不稳定周期轨道数,得到了拓扑熵,并以Henon映射为例,具体得到了该映射的符号动力学和拓扑熵。
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| 关 键 词： | 二维映射 符号动力学 拓扑熵 Henon映射 |
Method of Calculating Symbol Dynamics and Topological Entropy of 2D Maps |
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| Ma Xuanrong. Method of Calculating Symbol Dynamics and Topological Entropy of 2D Maps[J]. Journal of Ningxia University(Natural Science Edition), 1992, 13(3): 46-52 |
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| Authors: | Ma Xuanrong |
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| Abstract: | By using the method with which the trajectories of dissipative maps can be derived from a Hamiltonian, we define the equations of dynamics and set up the symbolic dynamics of 2-dimension(2D) maps such as Henon map. According to the definition of topological entropy, we compute the unstable, periodic orbits and the topological entropy of 2D maps such as Henon map. |
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| Keywords: | 2D maps symbolic dynamics topological entropy |
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