多元时间序列复杂网络流型动力学分析

高忠科; 金宁德; 杨丹; 翟路生; 杜萌

doi:10.7498/aps.61.120510

摘要

针对气液两相流流动特性,利用有限元分析方法设计变曲率对壁式电导传感器.采用设计加工的传感器在多相流装置上进行气液两相流动态实验,并测得多组对应于不同流型的电导波动信号. 基于测量数据,采用多元时间序列复杂网络构建算法构建对应于不同流型的复杂网络.在此基础上, 对网络的社团特性进行了分析, 研究发现,不同的社团结构对应于不同的流型,而社团内部网络特征可有效刻画不同流型内在动力学特性.多元时间序列复杂网络分析可为两相流流型演化动力学特性研究及流型识别提供新理论、开拓新途经.

关键词:

Abstract

We use finite element analysis method to optimize and design a new curve half-ring conductance sensor for gas-liquid two-phase flow system. Then we carry out gas-liquid two-phase flow experiment in multiphase flow loop facility, and use the designed sensor to measure multivariate time series corresponding to different flow patterns. According to the measured signals, we construct complex networks from multivariate time series for different flow patterns by a network inference method. Through investigating the community structures of the constructed networks, we find that different communities correspond to different flow patterns and the network statistics in community can be used to effectively characterize the dynamic behavior of different flow patterns. In this regard, our method can be a powerful tool for identifying flow patterns and uncovering the nonlinear dynamics governing the evolution of different flow patterns.

Keywords:

作者及机构信息

1.
天津大学电气与自动化工程学院, 天津 300072

基金项目: 国家自然科学基金(批准号: 61104148, 50974095, 41174109),高等学校博士学科点专项科研基金(批准号:20110032120088)和国家科技重大专项(批准号:2011ZX05020-006)资助的课题.

Authors and contacts

1.
School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61104148, 50974095, 41174109), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032120088), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006).

参考文献

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[3]	Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
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[11]	Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
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[18]	Liu F,Wang H O, Guan Z H 2012 Nonlinear Analysis: Real World Applications 13 1466
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[21]	Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[22]	Yang Y, Yang H J 2008 Physica A 387 1381
[23]	Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[24]	Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[25]	Gao Z K, Jin N D 2009 Chaos 19 033137
[26]	Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[27]	Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 56 7330]
[28]	Dong Z, Li X 2010 Acta Phys. Sin. 59 1600 (in Chinese)[董昭, 李翔 2010 59 1600]
[29]	Zhou L, Gong Z Q, Zhi R, Feng G L 2009 Acta Phys. Sin. 58 7351[周磊, 龚志强, 支蓉, 封国林 2009 58 7351]
[30]	Kramer M A, Eden U T, Cash S S, Kolaczyk E D 2009 Phys. Rev. E 79 061916
[31]	Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[32]	Liu C, Zhou W, Yuan W 2010 Physica A 389 2675
[33]	Shao Z G 2010 Appl. Phys. Lett. 96 073703
[34]	Donner R V, Heitzig J, Donges J F, Zou Y, Marwan N, Kurths J 2011 Eur. Phys. J. B 84 653
[35]	Xie W J, Zhou W X 2011 Physica A 390 3592
[36]	Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta phys. Sin. 61 029202 (in Chinese)[龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 61 029202]
[37]	Xiang R X, Zhang J, Xu X K, Small M 2012 Chaos 22 013107
[38]	Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[39]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[40]	Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[41]	Gao Z K, Jin N D 2012 Physica A 391 3005
[42]	Benjamini Y, Yekutieli D 2001 Ann. Statist. 29 1165
[43]	Kamada T, Kawai S 1989 Inform. Process. Lett. 31 7
[44]	Borgatti S P, EverettMG, Freeman L C 2002 Ucinet forWindows: Software for social network analysis, Harvard Analytic Technologies
[45]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phys. Lett. A 374 4014

施引文献

[1]	Lawkins W F, Daw C S, Downing D J, Jr Clapp N E 1993 Phys. Rev. E 47 2520
[2]	Daw C S, Finney C E A, Vasudevan M, vanGoor N A, Nguyen K, Bruns D D, Kostelich E J, Grebogi C, Ott E, Yorke J A 1995 Phys. Rev. Lett. 75 2308
[3]	Gao Z K, Jin N D 2009 Phy. Rev. E 79 066303
[4]	Watts D J, Strogatz S H 1998 Nature 393 440
[5]	Strogatz S H 2001 Nature 410 268
[6]	Albert R, Barab′asi A L 2002 Rev. Mod. Phys. 74 47
[7]	Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[8]	Pan Z F, Li X, Wang X F 2006 Phys. Rev. E 73 056109
[9]	Huang L, Park K, Lai Y C, Yang L, Yang K Q 2006 Phys. Rev. Lett. 97 164101
[10]	Huang L, Park K, Lai Y C 2006 Phys. Rev. E 73 035103(R)
[11]	Li X G, Gao Z Y, Li K P, Zhao X M 2007 Phys. Rev. E 76 016110
[12]	Pei W D, Chen Z Q, Yuan Z Z 2008 Chin. Phys. B 17 0373
[13]	Zhou J, Lu J A, Lu J H 2008 Automatica 44 996
[14]	Yang R, Wang W X, Lai Y C, Chen G R 2009 Phys. Rev. E 79 026112
[15]	Lu X B, Wang X F, Fang J Q 2010 Physica D 239 341
[16]	Zhou T, Kuscsik Z, Liu J G, Medo M, Wakeling J R, Zhang Y C 2010 Proc. Natl. Acad. Sci. USA 107 4511
[17]	Wang W X, Yang R, Lai Y C, Kovanis V, Grebogi C 2011 Phys. Rev. Lett. 106 154101
[18]	Liu F,Wang H O, Guan Z H 2012 Nonlinear Analysis: Real World Applications 13 1466
[19]	Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[20]	Zhou C S, Zemanov L, Zamora G, Hilgetag C C, Kurths J 2006 Phys. Rev. Lett. 97 238103
[21]	Zhang J, Sun J F, Luo S D, Zhang K, Nakamura T, Small M 2008 Physica D 237 2856
[22]	Yang Y, Yang H J 2008 Physica A 387 1381
[23]	Lacasa L, Luque B, Ballesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Sci. USA 105 4972
[24]	Xu X, Zhang J, Small M 2008 Proc. Natl. Acad. Sci. USA 105 19601
[25]	Gao Z K, Jin N D 2009 Chaos 19 033137
[26]	Gao Z K, Jin N D 2012 Nonlinear Analysis: Real World Applications 13 947
[27]	Fang X L, Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲, 姜宗来 2007 56 7330]
[28]	Dong Z, Li X 2010 Acta Phys. Sin. 59 1600 (in Chinese)[董昭, 李翔 2010 59 1600]
[29]	Zhou L, Gong Z Q, Zhi R, Feng G L 2009 Acta Phys. Sin. 58 7351[周磊, 龚志强, 支蓉, 封国林 2009 58 7351]
[30]	Kramer M A, Eden U T, Cash S S, Kolaczyk E D 2009 Phys. Rev. E 79 061916
[31]	Zhang J, Zhang K, Feng J F, Small M 2010 PLoS Comput. Biol. 6 e1001033
[32]	Liu C, Zhou W, Yuan W 2010 Physica A 389 2675
[33]	Shao Z G 2010 Appl. Phys. Lett. 96 073703
[34]	Donner R V, Heitzig J, Donges J F, Zou Y, Marwan N, Kurths J 2011 Eur. Phys. J. B 84 653
[35]	Xie W J, Zhou W X 2011 Physica A 390 3592
[36]	Gong Z Q, Zhi R, Hou W, Wang X J, Feng G L 2012 Acta phys. Sin. 61 029202 (in Chinese)[龚志强, 支蓉, 侯威, 王晓娟, 封国林 2012 61 029202]
[37]	Xiang R X, Zhang J, Xu X K, Small M 2012 Chaos 22 013107
[38]	Gao Z K, Jin N D 2009 Chin. Phys. B 18 5249
[39]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phy. Rev. E 82 016210
[40]	Gao Z K, Jin N D 2011 Chem. Eng. Sci. 66 2660
[41]	Gao Z K, Jin N D 2012 Physica A 391 3005
[42]	Benjamini Y, Yekutieli D 2001 Ann. Statist. 29 1165
[43]	Kamada T, Kawai S 1989 Inform. Process. Lett. 31 7
[44]	Borgatti S P, EverettMG, Freeman L C 2002 Ucinet forWindows: Software for social network analysis, Harvard Analytic Technologies
[45]	Gao Z K, Jin N D, Wang W X, Lai Y C 2010 Phys. Lett. A 374 4014

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