-
Complex network theory is used to characterize the temporal and phase space features of a time series when it is transferred into a network. In this paper, we study the motif ranks of complex networks induced from different categories of time series with periodic bifurcations and chaos, which are generated with two algorithms: the Visiblity Graph （VG） algorithm and the Phase-space Reconstruction （PR） algorithm. The advantages of both algorithms are analyzed.
-
Keywords:
- time series /
- network motif /
- chaos /
- periodic bifurcation
[1] ［1］Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[2] ［2］Newman M E J 2003 SIAM REV 45 167
[3] ［3］Wang X F，Li X,Chen G R 2006 Complex Network Theroy And Application p1（in Chinese）［汪小帆、李翔、陈关荣 2006 复杂网络理论及其应用（北京:清华大学出版社） 第1页 ］
[4] ［4］Wu J S, Di Z R 2004 Progress In Physics 24 18 （in Chinese）［吴金闪、狄增如 2004 物理学进展 24 18］
[5] ［5］Zhou T, Bo W H, Wang B H 2005 Physics 34 31 （in Chinese）［周涛、柏文浩、汪秉宏 2005 物理 34 31］
[6] ［6］Fang J Q 2007 Progress in Natural Science 17 841 （in Chinese）［方锦清 2007 自然科学进展 17841］
[7] ［7］Pei W D, Liu Z X, Chen Z Q, Yuan Z Z, 2008 Acta Phys. Sin. 57 6777 （in Chinese）［裴伟东、刘忠信、陈增强、袁著祉 2008 57 6777］
[8] ［8］Wang G Z, Cao Y J, Bao Z J, Han Z X 2009 Acta Phys. Sin. 58 3597 （in Chinese）［王光增、曹一家、包哲静、韩祯祥2009 58 3597］
[9] ［9］Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[10] ］Lucasa L, Luque B, Bllesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Scai 105 4972
[11] ］Xu X K, Zhang J, Small M 2008 Proc. Natl. Acad. Scai 105 50
[12] ］Zhang J, Sun J F, Luo X D, Zhang K, Tomomichi Nakamura, Small M Physica D 237 2856
[13] ］Lucasa L, Luuque B, Luque J, Nuno J C 2009 Europhysics Letters 86 30001
[14] ］Yang Z A, Chen S G, Wang G R 1996 Acta Phys. Sin. 45 904 （in Chinese）［杨志安、陈式刚、王光瑞 1996 45 904］
[15] ］Liu B Z 1995 Nonlinear Dynamics and Chaotic Basis （Changchun：Dongbei Normal University Press）p174 （in Chinese）［刘秉正 1995 非线性动力学与混沌基础（修订本）（东北：东北师范大学出版社）第174页］
[16] ］Milo R, Shen orr R, Itzkovitz S, Kashan N, Chklovskii D, Alon U 2002 Science 298 824
-
[1] ［1］Albert R, Barabasi A L 2002 Rev. Mod. Phys. 74 47
[2] ［2］Newman M E J 2003 SIAM REV 45 167
[3] ［3］Wang X F，Li X,Chen G R 2006 Complex Network Theroy And Application p1（in Chinese）［汪小帆、李翔、陈关荣 2006 复杂网络理论及其应用（北京:清华大学出版社） 第1页 ］
[4] ［4］Wu J S, Di Z R 2004 Progress In Physics 24 18 （in Chinese）［吴金闪、狄增如 2004 物理学进展 24 18］
[5] ［5］Zhou T, Bo W H, Wang B H 2005 Physics 34 31 （in Chinese）［周涛、柏文浩、汪秉宏 2005 物理 34 31］
[6] ［6］Fang J Q 2007 Progress in Natural Science 17 841 （in Chinese）［方锦清 2007 自然科学进展 17841］
[7] ［7］Pei W D, Liu Z X, Chen Z Q, Yuan Z Z, 2008 Acta Phys. Sin. 57 6777 （in Chinese）［裴伟东、刘忠信、陈增强、袁著祉 2008 57 6777］
[8] ［8］Wang G Z, Cao Y J, Bao Z J, Han Z X 2009 Acta Phys. Sin. 58 3597 （in Chinese）［王光增、曹一家、包哲静、韩祯祥2009 58 3597］
[9] ［9］Zhang J, Small M 2006 Phys. Rev. Lett. 96 238701
[10] ］Lucasa L, Luque B, Bllesteros F, Luque J, Nuno J C 2008 Proc. Natl. Acad. Scai 105 4972
[11] ］Xu X K, Zhang J, Small M 2008 Proc. Natl. Acad. Scai 105 50
[12] ］Zhang J, Sun J F, Luo X D, Zhang K, Tomomichi Nakamura, Small M Physica D 237 2856
[13] ］Lucasa L, Luuque B, Luque J, Nuno J C 2009 Europhysics Letters 86 30001
[14] ］Yang Z A, Chen S G, Wang G R 1996 Acta Phys. Sin. 45 904 （in Chinese）［杨志安、陈式刚、王光瑞 1996 45 904］
[15] ］Liu B Z 1995 Nonlinear Dynamics and Chaotic Basis （Changchun：Dongbei Normal University Press）p174 （in Chinese）［刘秉正 1995 非线性动力学与混沌基础（修订本）（东北：东北师范大学出版社）第174页］
[16] ］Milo R, Shen orr R, Itzkovitz S, Kashan N, Chklovskii D, Alon U 2002 Science 298 824
Catalog
Metrics
- Abstract views: 10087
- PDF Downloads: 1154
- Cited By: 0
下载:
