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The article analyzes the chaotic dynamic characteristic of geomagnetic variation field mainly in two aspects: (1) analyzing the chaotic dynamic characteristic of the geomagnetic variation field data observed at the same period (both low geomagnetic disturbance period and high geomagnetic disturbance period) from a series of geomagnetic stations using multiple approaches, in order to get a sufficient proof to validate whether there is chaotic dynamic characteristic in geomagnetic variation field; (2) analyzing the chaotic dynamic characteristic of the geomagnetic variation field data observed at different periods from the same geomagnetic station, aiming at finding out whether there is a parameter-varying chaotic characteristic in the geomagnetic variation field. The results indicate: (1) There is definitely chaotic dynamic characteristic in the geomagnetic variation field time series. (2) In view of chaotic time series phase space reconstruction, the number of independent variables to simulate the geomagnetic variation field dynamical system is about 6. (3) Geomagnetic variation field time series shows not only chaotic dynamic characteristic but also parameter-varying dynamical chaotic characteristic.
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Keywords:
- geomagnetic variation field /
- chaos /
- parameter-varying dynamical system /
- Lyapunov exponents
[1] ［1］Xu W Y 2009 Physics of Electromagnetic Phenomena of the Earth (Beijing:University of Science and Technology of China Press) p37(in Chinese) ［徐文耀 2009 地球电磁现象物理学（北京:中国科学技术大学出版社）第37页］
[2] ［2］Bian G, Liu Y C, Yu B, Bao J Y, Bian G L 2007 Science of Surveying and Mapping 32 23(in Chinese) ［边刚、刘雁春、于波、暴景阳、卞光浪 2007 测绘科学 32 23］
[3] ［3］Wang S C, Zhi H K, Song J S 2004 Seismological and Geomagnetic Observation and Research 25 18(in Chinese)［王世昌、郅红魁、宋建锁 2004 地震地磁观测与研究 25 18］
[4] ［4］Xu W Y 2005 Northwestern Seismological Journal 27 36(in Chinese)［徐文耀 2005 西北地震学报 27 36］
[5] ［5］Peng F Q 2006 Hydrographic Surveying and Charting 26 73(in Chinese)［彭富清 2006 海洋测绘 26 73］
[6] ［6］Zhao M, Zeng X P, Lin Y F 1997 Seismological and Geomagnetic Observation and Research 18 56(in Chinese) ［赵明、曾小苹、林云芳 1997 地震地磁观测与研究 18 56］
[7] ［7］Wang C, Chen J B, Wang S 1995 Chinese J. Geophys. (Acta Geophysica Sinica) 38 16(in Chinese) ［王赤、陈金波、王水 1995 地球物理学报 38 16］
[8] ［8］Zhang J H 1997 Journal of Seismological Research 20 398(in Chinese)［张继红 1997地震研究 20 398］
[9] ［9］Gao Y F, Zhou R M 1994 Chin. J. Space Sci. 14 101(in Chinese) ［高玉芬、周荣茂 1994 空间科学学报 14 101］
[10] ］Gao Y F, Zhou R M, Yang D M 1997 Chin. J. Space Sci. 17 189(in Chinese)［高玉芬、周荣茂、杨冬梅 1997 空间科学学报 17 189］
[11] ］Hongre L, Saihac P, Alexandrescu M 1999 Physics of the Earth and Planetary Interiors 110 157
[12] ］Shan L H, Hansen P, Goertz C K 1991 Geophys. Res. Lett. 18 147
[13] ］Prichard D, Price C P 1992 Geophys. Res. Lett. 19 1623
[14] ］Michael D M, Magulre W B, Chase R P 1991 J. Geophys. Res. 96 1705
[15] ］Lv J H, Lu J A, Chen S H 2002 Analysis and Application of Chaotic Time Series(Wuhan:Wuhan University Press) p46—50(in Chinese)［吕金虎、陆君安、陈士华 2002 混沌时间序列分析及其应用（武汉：武汉大学出版社）第46—50页］
[16] ］Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[17] ］Cao L V 1997 Physica D:Nonlinear Phenomenon 110 43250
[18] ］Grassberger P, Procaccia I 1983 Physical Review Letters 50 346
[19] ］Rosenstein M T, Collins J J, de Luca C J 1993 Physica D 65 117
[20] ］Ye M Y, Wang X D, Zhang H R 2005 Acta Phys. Sin. 54 2568(in Chinese)［叶美盈、汪晓东、张浩然 2005 物理学报 54 2568］
[21] ］Cui W Z, Zhu C C, Bao W X, Liu J H 2005 Acta Phys. Sin. 54 3009(in Chinese)［崔万照、朱长纯、保文星、刘君华 2005 物理学报 54 3009］
[22] ］Wang G L, Yang P C, Mao Y Q 2008 Acta Phys. Sin. 57 714(in Chinese)［王革丽、杨培才、毛宇清 2008 物理学报 57 714］
[23] ］Mao Y Q, Wang Y Q, Wang G L 2007 Climatic and Environmental Research 12 676(in Chinese) ［毛宇清、王咏青、王革丽 2007 气候与环境研究 12 676］
[24] ］Wang Y S, Sun J, Wang C J, Fan H D 2008 Acta Phys. Sin. 57 6120(in Chinese)［王永生、孙瑾、王昌金、范洪达 2008 物理学报 57 6120］
[25] ］Tan W, Wang Y N 2004 Acta Phys. Sin. 53 4087(in Chinese) ［谭文、王耀南 2004 物理学报 53 4087］
[26] ］Yu D C, Meng Q H 2005 Acta Phys. Sin. 54 1093(in Chinese) ［禹东川、孟庆浩 2005 物理学报 54 1093］
[27] ］Wang H, Han Z Z, Zhang W, Xie Q Y 2008 Acta Phys. Sin. 57 2779(in Chinese) ［王划、韩正之、章伟、谢七月 2008 物理学报 57 2779］
[28] ］Zhang R X, Tian G, Li P, Yang S P 2008 Acta Phys. Sin. 57 2073(in Chinese)［张若洵、田钢、栗苹、杨世平 2008 物理学报 57 2073］
[29] ］Wang Y N, Tan W, Duan F 2006 Chin. Phys. 15 89
[30] ］Tan W, Wang Y N, Duan F, Li X H 2006 Chin. Phys. 15 2529
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[1] ［1］Xu W Y 2009 Physics of Electromagnetic Phenomena of the Earth (Beijing:University of Science and Technology of China Press) p37(in Chinese) ［徐文耀 2009 地球电磁现象物理学（北京:中国科学技术大学出版社）第37页］
[2] ［2］Bian G, Liu Y C, Yu B, Bao J Y, Bian G L 2007 Science of Surveying and Mapping 32 23(in Chinese) ［边刚、刘雁春、于波、暴景阳、卞光浪 2007 测绘科学 32 23］
[3] ［3］Wang S C, Zhi H K, Song J S 2004 Seismological and Geomagnetic Observation and Research 25 18(in Chinese)［王世昌、郅红魁、宋建锁 2004 地震地磁观测与研究 25 18］
[4] ［4］Xu W Y 2005 Northwestern Seismological Journal 27 36(in Chinese)［徐文耀 2005 西北地震学报 27 36］
[5] ［5］Peng F Q 2006 Hydrographic Surveying and Charting 26 73(in Chinese)［彭富清 2006 海洋测绘 26 73］
[6] ［6］Zhao M, Zeng X P, Lin Y F 1997 Seismological and Geomagnetic Observation and Research 18 56(in Chinese) ［赵明、曾小苹、林云芳 1997 地震地磁观测与研究 18 56］
[7] ［7］Wang C, Chen J B, Wang S 1995 Chinese J. Geophys. (Acta Geophysica Sinica) 38 16(in Chinese) ［王赤、陈金波、王水 1995 地球物理学报 38 16］
[8] ［8］Zhang J H 1997 Journal of Seismological Research 20 398(in Chinese)［张继红 1997地震研究 20 398］
[9] ［9］Gao Y F, Zhou R M 1994 Chin. J. Space Sci. 14 101(in Chinese) ［高玉芬、周荣茂 1994 空间科学学报 14 101］
[10] ］Gao Y F, Zhou R M, Yang D M 1997 Chin. J. Space Sci. 17 189(in Chinese)［高玉芬、周荣茂、杨冬梅 1997 空间科学学报 17 189］
[11] ］Hongre L, Saihac P, Alexandrescu M 1999 Physics of the Earth and Planetary Interiors 110 157
[12] ］Shan L H, Hansen P, Goertz C K 1991 Geophys. Res. Lett. 18 147
[13] ］Prichard D, Price C P 1992 Geophys. Res. Lett. 19 1623
[14] ］Michael D M, Magulre W B, Chase R P 1991 J. Geophys. Res. 96 1705
[15] ］Lv J H, Lu J A, Chen S H 2002 Analysis and Application of Chaotic Time Series(Wuhan:Wuhan University Press) p46—50(in Chinese)［吕金虎、陆君安、陈士华 2002 混沌时间序列分析及其应用（武汉：武汉大学出版社）第46—50页］
[16] ］Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[17] ］Cao L V 1997 Physica D:Nonlinear Phenomenon 110 43250
[18] ］Grassberger P, Procaccia I 1983 Physical Review Letters 50 346
[19] ］Rosenstein M T, Collins J J, de Luca C J 1993 Physica D 65 117
[20] ］Ye M Y, Wang X D, Zhang H R 2005 Acta Phys. Sin. 54 2568(in Chinese)［叶美盈、汪晓东、张浩然 2005 物理学报 54 2568］
[21] ］Cui W Z, Zhu C C, Bao W X, Liu J H 2005 Acta Phys. Sin. 54 3009(in Chinese)［崔万照、朱长纯、保文星、刘君华 2005 物理学报 54 3009］
[22] ］Wang G L, Yang P C, Mao Y Q 2008 Acta Phys. Sin. 57 714(in Chinese)［王革丽、杨培才、毛宇清 2008 物理学报 57 714］
[23] ］Mao Y Q, Wang Y Q, Wang G L 2007 Climatic and Environmental Research 12 676(in Chinese) ［毛宇清、王咏青、王革丽 2007 气候与环境研究 12 676］
[24] ］Wang Y S, Sun J, Wang C J, Fan H D 2008 Acta Phys. Sin. 57 6120(in Chinese)［王永生、孙瑾、王昌金、范洪达 2008 物理学报 57 6120］
[25] ］Tan W, Wang Y N 2004 Acta Phys. Sin. 53 4087(in Chinese) ［谭文、王耀南 2004 物理学报 53 4087］
[26] ］Yu D C, Meng Q H 2005 Acta Phys. Sin. 54 1093(in Chinese) ［禹东川、孟庆浩 2005 物理学报 54 1093］
[27] ］Wang H, Han Z Z, Zhang W, Xie Q Y 2008 Acta Phys. Sin. 57 2779(in Chinese) ［王划、韩正之、章伟、谢七月 2008 物理学报 57 2779］
[28] ］Zhang R X, Tian G, Li P, Yang S P 2008 Acta Phys. Sin. 57 2073(in Chinese)［张若洵、田钢、栗苹、杨世平 2008 物理学报 57 2073］
[29] ］Wang Y N, Tan W, Duan F 2006 Chin. Phys. 15 89
[30] ］Tan W, Wang Y N, Duan F, Li X H 2006 Chin. Phys. 15 2529
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