Costa M, Goldberger A L, Peng C K. 2005. Multiscale entropy analysis of biological signals. Phys. Rev. E, 71(2): 021906.
[2]
Richman J S, Moorman J R. 2000. Physiological time-series analysis using approximate entropy and sample entropy. Am. J. Physiol. Heart Circ. Physiol., 278(6): H2039-H2049.
[3]
Voros Z, Vero J, Kristek J. 1994. Nonlinear time series analysis of geomagnetic pulsations. Nonlin. Processes Geophys., 1(2-3): 145-155.
[4]
Wang C, Chen J B, Wang S. 1995. Fractal and chaotic features for varying component of the earth''s magnetic field. Chinese J. Geophys. (in Chinese), 38(1): 16-24.
[5]
Wang Z Y, Jin N D, Zong Y B, et al. 2009. Multi-scale entropy analysis of oil-gas-water three-phase flow patterns in vertical upward pipe. Chinese J. Geophys. (in Chinese), 52(9): 2377-2386.
[6]
Wei H L, Billings S A, Balikhin M. 2004. Analysis of the geomagnetic activity of the Dst index and self-affine fractals using wavelet transforms. Nonlin. Processes Geophys., 11(3): 303-312.
[7]
Xu W Y. 2005. Improvement of scaling and evaluating of K index. Northwestern Seismological Journal (in Chinese), 27(z1): 36-41.
[8]
Xu W Y. 2009. Physics of Electromagnetic Phenomena of the Earth (in Chinese). Hefei: University of Science and Technology of China Press.
[9]
Xie Z M. 2009. Multiscale entropy method for analysis of complex geophysical signal. Technology for Earthquake Disaster Prevention (in Chinese), 4(4): 380-385.
[10]
Yang J P. 2010. An analysis of geomagnetic variations by wavelet entropy complexity. Progress in Geophys. (in Chinese), 25(5): 1605-1611, doi:10.3969/j.issn.1004-2903.2010.05.011.
[11]
Yi S H, Liu D Z, He Y L, et al. 2013. Modeling and forecasting of the variable geomagnetic field by support vector machine. Chinese J. Geophys. (in Chinese), 56(1): 127-135,doi:10.6038/cjg20130113.
[12]
Zhang Z P, Wang Q G. 2008. The research of detecting abrupt climate change with approximate entropy. Acta Physica Sinica (in Chinese), 57(3): 1976-1983.
[13]
Zhao H F, Liu S L, Gu X S. 2010. Measure analysis of the complexity of the valve faults of reciprocating compressors based on approximate entropy. Chemical Engineering & Machinery (in Chinese), 37(3): 296-298.
[14]
Zheng J D, Cheng J S, Yang Y. 2012. A rolling bearing fault diagnosis approach based on multiscale entropy. Journal of Hunan University: Natural Sciences (in Chinese), 39(5): 38-41.
[15]
Zhuang J J, Ning X B, Yang X, et al. 2008. Agreement of two entropy-based measures on quantifying the complexity of short-term heart rate variability signals from professional shooters. Acta Physica Sinica (in Chinese), 57(5): 2805-2811.
[16]
Asimopolos L, Pestina A M, Asimopolos N S. 2010. Considerations on geomagnetic data analysis. Chinese J. Geophys. (in Chinese), 53(3): 765-772,doi:10.3969/j.issn.0001-5733.2010.03.033.
[17]
Bian G, Liu Y C, Yu B, et al. 2007. Research of the diurnal variation correction method during the disturbance in marine geomagnetism surveying. Science of Surveying and Mapping (in Chinese), 32(5): 11-24.
[18]
Bornas X, Llabrés J, Noguera M, et al. 2006. Fear induced complexity loss in the electrocardiogram of flight phobics: a multiscale entropy analysis. Biol. Psychol., 73(3): 272-279.
[19]
Bolzan M J A, Rosa R R, Sahai Y. 2009. Multifractal analysis of low-latitude geomagnetic fluctuations. Ann. Geophys., 27(2): 569-576.
[20]
Costa M, Goldberger A L, Peng C K. 2002. Multiscale entropy analysis of complex physiologic time series. Phys. Rev. Lett., 89(6): 068102.
[21]
De Santis A, Qamili E. 2010. Shannon information of the geomagnetic field for the past 7000 years. Nonlinear Processes in Geophysics, 17(1): 77-84.
[22]
Farmer J D. 1982. Chaotic attractors of an infinite-dimensional dynamical system. Physica D, 4(3): 366-393.
[23]
Gillet N, Jackson A, Finlay C C. 2007. Maximum entropy regularization of time-dependent geomagnetic field models. Geophys. J. Int., 171(3): 1005-1016.
[24]
He L, Du L, Chen J P, et al. 2008. Multiscale entropy complexity analysis of metallic interconnection electromigration noise. Acta Physica Sinica (in Chinese), 57(10): 6545-6550.
[25]
He W P, Wu Q, He T, et al. 2011. A new method to detect abrupt change based on approximate entropy. Acta Physica Sinica (in Chinese), 60(4): 049202.
[26]
Hongre L, Saihac P, Alexandrescu M, et al. 1999. Nonlinear and multifractal approaches of the geomagnetic field. Physics of the Earth and Planetary Interiors, 110(3-4): 157-190.
[27]
Huang N B, Wang Y M, Su B L. 2012. Complexity analysis of flood characteristics in the Upper Hangjiang River. South-to-North Water Diversion and Water Science & Technology (in Chinese), 10(1): 45-48.
[28]
Liu H, He W X, Chen X P. 2004. Approximate entropy and sample entropy for physiological time-series. Chinese Journal of Scientific Instrument (in Chinese), 25(4): 806-807.
[29]
Niu C, Li X H, Liu D Z. 2010. Chaotic dynamic characteristics of Z component in geomagnetic variation field. Acta Physica Sinica (in Chinese), 59(5): 3077-3087.
[30]
Norris P R, Stein P K, Morris J A Jr. 2008. Reduced heart rate multiscale entropy predicts death in critical illness: a study of physiologic complexity in 285 trauma patients. J. Crit. Care., 23(3): 399-405.
[31]
Pincus S M. 1991. Approximate entropy as a measure of system complexity. Proc. Natl. Acad. Sci. USA, 88(6): 2297-2301.
[32]
Peng F Q. 2006. Geomagnetic model and geomagnetic navigation. Hydrographic Surveying and Charting (in Chinese), 26(2): 73-75.
[33]
Peng C Y, Chen X D. 2007. Application study on the geomagnetic method for the short-term and imminent earthquake prediction. Seismological Research of Northeast China (in Chinese), 23(3): 28-37.
[34]
Qi W, Wang X F, Wang R M, et al. 2011. The information entropy of geomagnetic field''s K variation. Chinese J. Geophys. (in Chinese), 54(3): 780-786, doi:10.3969/j.issn.0001-5733.2011.03.018.