He Limin (何利民), Zhao Qingjun (赵庆军), Chen Zhenyu (陈振瑜). A fluctuation analysis of slug velocities for two phase slug flow in a horizontal pipe [J]. Proceedings of CSEE (中国电机工程学报), 2003, 23 (12): 189-193
[2]
Zhao Guibing, Yang Yongrong. Multi-scale resolution of fluidized-bed pressure fluctuations [J]. AIChE Journal, 2003, 49 (4): 869-882
[3]
Zheng Guibo (郑桂波), Jin Ningde (金宁德). Multiscale entropy and dynamic characteristics of two-phase flow patterns [J]. Acta Phys.Sin. (物理学报), 2009, 58 (7): 4485-4492
[4]
Ruud J van Ommena, Srdjan Sasic, John van der Schaaf Stefan Gheorghiu, Filip Johnsson, Marc-Olivier Coppens. Time-series analysis of pressure fluctuations in gas-solid fluidized beds-a review [J]. Int.J.Multiphase Flow, 2011, 37 (5): 403-428
[5]
Lopez-Ruiz R, Mancini H L, Calbet X. A statistical measure of complexity [J]. Phys.Lett.A, 1995, 209: 321-326
[6]
Letzel H M, Schouten J C, Krishna R, van den Bleek C M. Characterization of regimes and regime transitions in bubble columns by chaos analysis of pressure signals [J]. Chemical Engineering Science, 1997, 52 (24): 4447-4459
[7]
Liu M Y, Hu Z D. Studies on the hydrodynamics of chaotic bubbling in a gas-liquid bubble column with a single nozzle [J]. Chemical Engineering & Technology, 2004, 27 (5): 537-547
[8]
Lin Ping (林萍), Wang Xiaoping (王晓萍), Chen Bochuan (陈伯川), Huang Yilun (黄轶伦). Character of approximate entropy and its application in the complexity measurement of gas-solid fluidized bed [J]. Journal of Chemical Engineering of Chinese Universities (高校化学工程学报), 2004, 18 (3): 281-286
[9]
Martín M T, Plastino A, Rosso O A. Statistical complexity and disequilibrium [J]. Phys.Lett.A, 2003, 311: 126-132
[10]
Lamberti P W, Martín M T, Plastino A, Rosso O A. Intensive entropic non-triviality measure [J]. Physica A, 2004, 334 (1): 119-131
[11]
Rosso O A, Larrondo H A, Martin M T, Plastino A, Fuentes M A. Distinguishing noise from chaos [J]. Phys.Rev.Lett., 2007, 99 (15): 154102-154105
[12]
Bandt C, Pompe B. Permutation entropy: a natural complexity measure for time series [J]. Phys.Rev.Lett., 2002, 88 (17): 174102-174105
[13]
Zanin M, Zunino L, Rosso O A, Papo D. Permutation entropy and its main biomedical and econophysics applications: a review [J]. Entropy, 2012, 14: 1553-1577
[14]
Zunino L, Zanin M, Tabak B M, Perez D G, Rosso O A. Complexity-entropy causality plane: a useful approach to quantify the stock market inefficiency [J]. Physica A, 2010, 389: 1891-1901
[15]
Zunino L, Tabak B M, Serinaldi F, Zanin M, Perez D G, Rosso O A. Commodity predictability analysis with a permutation information theory approach [J]. Physica A, 2011, 390 (5): 876-890
[16]
Ribeiro H V, Zunino L, Mendes R S, Lenzi E K. Complexity-entropy causality plane: a useful approach for distinguishing songs [J]. Physica A, 2012, 391 (7): 2421-2428
[17]
Kantz H, Kurths J, Meyer-Kress G. Nonlinear Analysis of Physiological Data [M]. Berlin: Springer Publishing Company, Incorporated, 2011: 252-276
[18]
Daw C S, Finney C E A, Vasudevan M, van Goor N A, Nguyen K, Bruns D D, Kostelich E J, Grebogi C, Ott E, Yorke J A. Self-organization and chaos in a fluidized bed [J]. Phys.Rev.Lett., 1995, 75 (12): 2308-2311
[19]
Franca F, Acikgoz M, Lahey R T, Clausse A. The use of fractal techniques for flow regime identification [J]. Int.J.Multiphase Flow, 1991, 17 (4): 545-552
[20]
Yuan Zhulin (袁竹林), Shen Xianglin (沈湘林), Xu Yiqian (徐益谦). Chaos study on heat transfer characteristics in a fluidized bed [J]. Science in China :Series A (中国科学:A辑), 1994, 24(9): 986-922
[21]
Wen Jianping (闻建平), Liang Lan(梁岚), Liu Mingyan(刘明言), Zhang Jinli (张金利), Hu Zongding (胡宗定). Local nonlinear characteristics of gas-liquid-solid three-phase self-aspirated reversed flow jet loop reactor [J]. Transactions of Tianjin University (天津大学学报), 1998, 4 (2): 109-113
[22]
Chen Yafei (陈亚非), Gao Xiang (高翔), Luo Zhongyang (骆仲泱), Zhou Jinsong (周劲松), Ni Mingjiang (倪明江), Cen Kefa (岑可法). The chaos research of air-solid two-phase flow transient heat transfer [J]. Proceedings of CSEE (中国电机工程学报), 1998, 18 (4): 270-274
[23]
Gu Lili (顾丽莉), Shi Yanfu (石炎福), Yu Huarui (余华瑞). Chaotic analysis of pressure fluctuation signal the gas-liquid cocurrent flow [J]. Chemical Reaction Engineering and Technology (化学反应工程与工艺), 1999, 15 (4): 428-434
[24]
Zhou Yunlong (周云龙), Shen Zengming (沈增明), Chen Tingkuan (陈听宽), Chen Xuejun (陈学俊). Lumpec parameter nonlinear analysis of steam-liquid two phase flow pressure drop oscillation in evaporator tubes [J]. Journal of Chemical Industry and Engineering (China) (化工学报), 1996, 47 (4): 500-504
[25]
Bai Bofeng (白博峰), Guo Liejin (郭烈锦), Chen Xuejun (陈学俊). Nonlinear analysis on pressure fluctuation phenomena of air-water two-phase flow [J]. Journal of Engineering Thermophysics (工程热物理学报), 2001, 22 (3): 350-362
[26]
Jin Ningde (金宁德), Wang Weiwei (王微微), Ren Yingyu (任英玉), Zhong Xingfu (钟兴福), Tian Shuxiang (田树祥). Fractal and chaotic charateristics of oil-gas-water three phase bubble flow pattren [J]. Chinese Journal of Geophysics (地球物理学报), 2001, 44 (z1): 266-274
[27]
van Ommen J R, Coppens M O, van den Bleek C M, Schouten J C.Early warning of agglomeration in fluidized beds by attractor comparison [J]. AIChE Journal, 2000, 46 (11): 2183-2197
[28]
Shiner J S, Davison M, Landsberg P T. Simple measure for complexity [J]. Phys.Rev.E, 1999, 59: 1459-1464
[29]
Lopez-Ruiz R, Mancini H L, Calbet X. A statistical measure of complexity [J]. Phys.Lett.A, 1995, 209: 321-326
[30]
Feldman D P, McTague C S, Crutchfield J P. The organization of intrinsic computation: complexity-entropy diagrams and the diversity of natural information processing [J]. Chaos, 2008, 18 (4): 43106-43123
[31]
Costa M, Goldberger A L, Peng C K. Multiscale entropy analysis of complex physiologic time series [J]. Phys.Rev.Lett., 2002, 89 (6): 68102-68105
[32]
Jin N D, Zhao X, Wang J, Wang Z Y, Jia X H, Chen W P. Design and geometry optimization of a conductivity probe with a vertical multiple electrode array for measuring volume fraction and axial velocity [J]. Meas.Sci.Technol., 2008, 19: 45403-45421
