| 基于神经网络的Lyapunov指数谱的计算 |
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| 引用本文： | 田宝国,姜璐,谷可.基于神经网络的Lyapunov指数谱的计算[J].系统工程理论与实践,2001,21(8):9-13. |
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| 作者姓名： | 田宝国 姜璐 谷可 |
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| 作者单位： | 北京师范大学系统科学系 |
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| 摘 要： | 利用 BP神经网络的非线性函数逼近能力 ,由实验观察数据列计算系统的 Lyapunov指数谱 .实例计算表明 ,此种方法精度较高且计算量较小 ,有重要的实际意义.
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| 关 键 词： | Lyapunov指数谱 相空间重构 人工神经网络 |
| 文章编号： | 1000-6788(2001)08-0009-05 |
| 修稿时间： | 1999年12月21 |
The Calculation of Lyapunov Exponents Based on the Neural Network |
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| TIAN Bao\|guo,JIANG Lu,GU Ke.The Calculation of Lyapunov Exponents Based on the Neural Network[J].Systems Engineering —Theory & Practice,2001,21(8):9-13. |
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| Authors: | TIAN Bao\|guo JIANG Lu GU Ke |
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| Institution: | Department of System Science,Beijing Normal University |
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| Abstract: | Lyapunov exponents are one of a number of parameters that characterize the nature of a chaotic dynamical system. We calculate the Lyapunov exponents from an observed time series based on the ability that a BP neural network can approximate nonlinear functions. The results show that this method needs less computing time and has higher precision ,so it has practical significance. |
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| Keywords: | Lyapunov exponents reconstruction of phase space artificial neural network |
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