| 测度熵计算中映射不变分布的应用 |
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| 引用本文： | 徐健学. 测度熵计算中映射不变分布的应用[J]. 计算物理, 1999, 16(2): 151-156 |
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| 作者姓名： | 徐健学 |
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| 作者单位： | 西安交通大学 710049 |
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| 基金项目： | 国家自然科学基金资助项目(19672046) |
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| 摘 要： | 构造计算测度熵(MetricEntropy)的马尔可夫划分(MarkovPartition)时,对于非线性映射采取等似然假设,影响精度。提出用计算映射的不变分布来进行改进;对逻辑映射导出映射不变分布的算式及迭代格式,进行了测度熵的计算;计算表明,迭代次数不多时即能得出较好结果。
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| 关 键 词： | 测度熵 映射不变分布 生成划分 马尔可夫划分 逻辑映射 |
| 收稿时间： | 1997-12-25 |
| 修稿时间： | 1998-10-19 |
Application of mapping invariant distribution to calculating measure theoretic entropy |
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| Xu Jianxue. Application of mapping invariant distribution to calculating measure theoretic entropy[J]. Chinese Journal of Computational Physics, 1999, 16(2): 151-156 |
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| Authors: | Xu Jianxue |
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| Affiliation: | Xi'an Jiaotong University, 710049 |
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| Abstract: | An improvement of constituting Markov partition is proposed for calculating measure theoretic entropy by computing invariant distribution of nonlinear mapping instead assuming equal likelihood for all points over a interval; and the formulations and the iteration forms of invariant distribution of logistic map are derived.It is shown that the better result can be obtained through several iterations and the amount of computation is not larger. |
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| Keywords: | metric entropy invariant distribution generating partition Markov partition logistic map |
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