Multilayer Network from Multivariate Time Series for Characterizing Nonlinear Flow Behavior

International Journal of Bifurcation and Chaos

Volumn 27, Issue 4, 2017, Pages

  Gao, Zhong Ke ^a   Zhang, Shan Shan ^a   Dang, Wei Dong ^a   Li, Shan ^a   Cai, Qing ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

Multilayer network; network motif; nonlinear flow behavior; time series analysis

Indexed keywords

MULTILAYERS; TIME SERIES ANALYSIS;

DIFFERENT FREQUENCY; FLOW INFORMATIONS; MULTI-LAYER NETWORK; MULTIVARIATE TIME SERIES; NETWORK MOTIF; NONLINEAR FLOW; NOVEL METHODOLOGY; OIL-WATER TWO PHASE FLOWS;

TWO PHASE FLOW;

EID: 85019153241     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127417500596     Document Type: Article

References (44)

1. Battiston, F., Nicosia, V. & Latora, V. [2014] "Structural measures for multiplex networks," Phys. Rev. E 89, 032804.
2. Boccaletti, S., Bianconi, G., Criado, R., del Genio, C. I., Gómez-Gardeñes, J., Romance, M., Sendiña-Nadal, I., Wang, Z. & Zanin, M. [2014] "The structure and dynamics of multilayer networks," Phys. Rep. 544, 1-122.
3. Feldhoff, J. H., Donner, R. V., Donges, J. F., Marwan, N. & Kurths, J. [2012] "Geometric detection of coupling directions by means of inter-system recurrence networks," Phys. Lett. A 376, 3504-3513.
4. Gao, Z. K., Jin, N. D., Wang, W. X. & Lai, Y. C. [2010] "Motif distributions in phase-space networks for characterizing experimental two-phase flow patterns with chaotic features," Phys. Rev. E 82, 016210.
5. Gao, Z. K. & Jin, N. D. [2012] "A directed weighted complex network for characterizing chaotic dynamics from time series," Nonlin. Anal.: Real World Appl. 13, 947-952.
6. Gao, Z. K., Fang, P. C., Ding, M. S. & Jin, N. D. [2015a] "Multivariate weighted complex network analysis for characterizing nonlinear dynamic behavior in two-phase flow," Exp. Therm. Fluid Sci. 60, 157-164.
7. Gao, Z. K., Yang, Y. X., Fang, P. C., Jin, N. D., Xia, C. Y. & Hu, L. D. [2015b] "Multi-frequency complex network from time series for uncovering oil-water flow structure," Sci. Rep. 5, 8222.
8. Gao, Z. K., Yang, Y. X., Fang, P. C., Zou, Y., Xia, C. Y. & Du, M. [2015c] "Multiscale complex network for analyzing experimental multivariate time series," Europhys. Lett. 109, 30005.
9. Gao, Z. K., Small, M. & Kurths, J. [2016a] "Complex network analysis of time series," Europhys. Lett. 116, 50001.
10. Gao, Z. K., Yang, Y. X., Zhai, L. S., Jin, N. D. & Chen, G. R. [2016b] "A four-sector conductance method for measuring and characterizing low-velocity oil-water two-phase flows," IEEE Trans. Instrum. Meas. 65, 1690-1697.
11. Gao, Z. K., Cai, Q., Yang, Y. X., Dang, W. D. & Zhang, S. S. [2016c] "Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series," Sci. Rep. 6, 35622.
12. Gao, Z. K., Cai, Q., Yang, Y. X., Dong, N. & Zhang, S. S. [2017] "Visibility graph from adaptive optimal kernel time-frequency representation for classification of epileptiform EEG," Int. J. Neural Syst. 27, 1750005-1-12.
13. Hardmeier, M., Hatz, F., Bousleiman, H., Schindler, C., Stam, C. J. & Fuhr, P. [2014] "Reproducibility of functional connectivity and graph measures based on the phase lag index (PLI) and weighted phase lag index (wPLI) derived from high resolution EEG," PLoS ONE 9, e108648.
14. Huang, L., Lai, Y. C. & Harrison, M. A. F. [2012] "Probing complex networks from measured time series," Int. J. Bifurcation and Chaos 22, 1250236.
15. Jones, D. L. & Baraniuk, R. G. [1995] "An adaptive optimal kernel time-frequency representation," IEEE Trans. Sign. Process. 43, 2361-2371.
16. Kantelhardt, J. W., Zschiegner, S. A., Koscielny-Bunde, E., Havlin, S., Bunde, A. & Stanley, H. E. [2002] "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A 316, 87-114.
17. Lacasa, L., Luque, B., Ballesteros, F., Luque, J. & Nuno, J. C. [2008] "From time series to complex networks: The visibility graph," Proc. Natl. Acad. Sci. USA 105, 4972-4975.
18. Lai, Y. C. & Ye, N. [2003] "Recent developments in chaotic time series analysis," Int. J. Bifurcation and Chaos 13, 1383-1422.
19. Lempel, A. & Ziv, J. [1976] "On the complexity of finite sequences," IEEE Trans. Inform. Th. 22, 75-81.
20. Li, D. Q., Fu, B. W., Wang, Y. P., Lu, G. Q., Berezin, Y., Stanley, H. E. & Havlin, S. [2015] "Percolation transition in dynamical traffic network with evolving critical bottlenecks," Proc. Natl. Acad. Sci. USA 112, 669-672.
21. Lu, J. H. & Chen, G. R. [2005] "A time-varying complex dynamical network model and its controlled synchronization criteria," IEEE Trans. Automat. Contr. 50, 841-846.
22. Martincic-Ipsic, S., Margan, D. & Mestrovic, A. [2016] "Multilayer network of language: A unified framework for structural analysis of linguistic subsystems," Physica A 457, 117-128.
23. Marwan, N., Donges, J. F., Zou, Y., Donner, R. V. & Kurths, J. [2009] "Complex network approach for recurrence analysis of time series," Phys. Lett. A 373, 4246-4254.
24. Marwan, N. & Kurths, J. [2015] "Complex network based techniques to identify extreme events and (sudden) transitions in spatio-temporal systems," Chaos 25, 097609.
25. Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovskii, D. & Alon, U. [2002] "Network motifs: Simple building blocks of complex networks," Science 298, 824-827.
26. Newman, M. E. J. [2010] Networks: An Introduction (Oxford University Press).
27. Peng, X. L., Small, M., Xu, X. J. & Fu, X. C. [2013] "Temporal prediction of epidemic patterns in community networks," New J. Phys. 15, 113033.
28. Pouryoussefi, S. M. & Zhang, Y. W. [2015] "Identification of two-phase water-air flow patterns in a vertical pipe using fuzzy logic and genetic algorithm," Appl. Therm. Eng. 85, 195-206.
29. Scarsoglio, S., Iacobello, G. & Ridolf, L. [2016] "Complex networks unveiling spatial patterns in turbulence," Int. J. Bifurcation and Chaos 26, 1650223-1-12.
30. Schaum, A. & Jaquez, R. B. [2016] "Estimating the state probability distribution for epidemic spreading in complex networks," Appl. Math. Comput. 291, 197-206.
31. Stam, C. J., Nolte, G. & Daffertshofer, A. [2007] "Phase lag index: Assessment of functional connectivity from multichannel EEG and MEG with diminished bias from common sources," Hum. Brain Mapp. 28, 1178-1193.
32. Wang, X. F. [2002] "Complex networks: Topology, dynamics and synchronization," Int. J. Bifurcation and Chaos 12, 885-916.
33. Wang, H. C., He, K. Q., Li, B. & Lu, J. H. [2012] "On some recent advances in complex software networks: Modeling, analysis, evolution and applications," Int. J. Bifurcation and Chaos 22, 1250024-1-15.
34. Wang, Z.,Wang, L., Szolnoki, A. & Perc,M. [2015] "Evolutionary games on multilayer complex networks: A colloquium," Eur. Phys. J. B 88, 124.
35. Wang, Z., Bauch, C. T., Bhattacharyya, S., d'Onofrio, A., Manfredi, P., Perc, M., Perra, N., Salathé, M. & Zhao, D. [2016] "Statistical physics of vaccination," Phys. Rep. 664, 1-113.
36. Wernicke, S. [2006] "Efficient detection of network motifs," IEEE/ACM Trans. Comput. Biol. Bioinform. 3, 347-359.
37. Wernicke, S. & Rasche, F. [2006] "FANMOD: A tool for fast network motif detection," Bioinformatics 22, 1152-1153.
38. Xiang, R. X., Zhang, J., Xu, X. K. & Small, M. [2012] "Multiscale characterization of recurrencebased phase space networks constructed from time series," Chaos 22, 013107.
39. Xu, X. K., Zhang, J. & Small, M. [2008] "Superfamily phenomena and motifs of networks induced from time series," Proc. Natl. Acad. Sci. USA 105, 19601-19605.
40. Zhang, J. & Small, M. [2006] "Complex network from pseudoperiodic time series: Topology versus dynamics," Phys. Rev. Lett. 96, 238701.
41. Zhang, J., Luo, X. D., Nakamura, T., Sun, J. F. & Small, M. [2007] "Detecting temporal and spatial correlations in pseudo-periodic time series," Phys. Rev. E 75, 016218.
42. Zhang, J., Sun, J. F., Luo, X. D., Zhang, K., Nakamura, T. & Small, M. [2008] "Characterizing topology of pseudoperiodic time series via complex network approach," Physica D 237, 2856-2865.
43. Zhang, J., Cheng, W., Liu, Z. W., Zhang, K., Lei, X., Yao, Y., Becker, B., Liu, Y. C., Kendrick, K. M., Lu, G. M. & Feng, J. F. [2016] "Neural, electrophysiological and anatomical basis of brain-network variability and its characteristic changes in mental disorders," Brain 139, 2307-2321.
44. Zou, Y., Donner, R. V., Marwan, N., Small, M. & Kurths, J. [2014] "Long-term changes in the North-South asymmetry of solar activity: A nonlinear dynamics characterization using visibility graphs," Nonlin. Proc. Geophys. 21, 1113-1126.