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输油管道压力时间序列混沌特性研究
引用本文:刘金海,张化光,冯健. 输油管道压力时间序列混沌特性研究[J]. 物理学报, 2008, 57(11): 6868-6877
作者姓名:刘金海  张化光  冯健
作者单位:(1)东北大学信息科学与工程学院,沈阳 110004; (2)东北大学信息科学与工程学院,沈阳 110004;东北大学教育部暨辽宁省流程工业综合自动化重点实验室,沈阳 110004
基金项目:国家自然科学基金,长江学者和创新团队发展计划;高校博士点基金,辽宁省自然科学基金,中国博士后科学基金,国家高技术研究发展专项,教育部流程工业综合自动化重点实验室开放课题基金(
摘    要:输油管道压力波动的内在动态特征,采用非线性的分析方法探讨了实测输油管道压力波动中存在混沌动态特性的可能性. 以6个典型的输油管道压力实测数据集为研究对象,重构相空间、求得了分形维数和Lyapunov指数谱、验证了数据的平稳性和非线性. 通过对所得结果的分析,从理论上证明了输油管道压力信号具有严格混沌动态特性. 为基于输油管道压力时间序列的研究提供了混沌理论基础.关键词:压力时间序列Lyapunov指数分形维数混沌

关 键 词:压力时间序列  Lyapunov指数  分形维数  混沌
收稿时间:2008-03-21

Investigation of chaotic behavior for press time series of oil pipeline
Liu Jin-Hai,Zhang Hua-Guang,Feng Jian. Investigation of chaotic behavior for press time series of oil pipeline[J]. Acta Physica Sinica, 2008, 57(11): 6868-6877
Authors:Liu Jin-Hai  Zhang Hua-Guang  Feng Jian
Abstract:Usually, pressure fluctuation in oil pipeline is assumed to be stochastic or as white noise, which hinders the improvement of fault diagnosis technology based on pressure fluctuation. To find the internal dynamics of pressure fluctuation in oil pipeline, the possibility of existing chaotic behavior is validated using the method of nonlinear analysis. Six experimental data sets are studied on which phase spaces are reconstructed, the fractal dimensions and Lyapunov exponents are computed and the stationary feature and nonlinearity are validated. By the analysis of the results, the rigorous chaotic character of pressure fluctuation in oil pipeline is found, which is a theoretical basis for the correlative investigation based on pressure time series of oil pipeline.
Keywords:press time series   Lyapunov exponents   fractal dimensions   chaos
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