Multiscale characterization of recurrence-based phase space networks constructed from time series

Chaos

Volumn 22, Issue 1, 2012, Pages

  Xiang, Ruoxi ^a   Zhang, Jie ^a,b   Xu, Xiao Ke ^a,c   Small, Michael ^a,d  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b FUDAN UNIVERSITY   (China)

^c QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

^d UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; COMPUTER SIMULATION; METHODOLOGY; NONLINEAR SYSTEM; OSCILLOMETRY; SIGNAL PROCESSING;

ALGORITHMS; COMPUTER SIMULATION; NONLINEAR DYNAMICS; OSCILLOMETRY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 84859372168     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3673789     Document Type: Article

References (30)

1. Small M. Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance 2005, (World Scientific Pub Co Inc, Hackensack, NJ).
2. Albert R. Barabási A.L. Rev. Mod. Phys. 2002, 74:47. 10.1103/RevModPhys.74.47, and.
3. Barabási A.L. Albert R. Science 1999, 286:509. 10.1126/science.286.5439.509, and.
4. Boccaletti S. Latora V. Moreno Y. Chavez M. Hwang D.U. Phys. Rep. 2006, 424:175. 10.1016/j.physrep.2005.10.009, and.
5. Zhang J. Small M. Phys. Rev. Lett. 2006, 96:238701. 10.1103/PhysRevLett.96.238701, and.
6. Donner R.V. Zou Y. Donges J.F. Marwan N. Kurths J. New J. Phys. 2010, 12:033025. 10.1088/1367-2630/12/3/033025, and.
7. Donner R.V. Zou Y. Donges J.F. Marwan N. Kurths J. Phys. Rev. E 2010, 81:015101. 10.1103/PhysRevE.81.015101, and.
8. Zou Y. Donner R.V. Donges J.F. Marwan N. Kurths J. Chaos 2010, 20:043130. 10.1063/1.3523304, and.
9. Donner R.V. Heitzig J. Donges J.F. Zou Y. Marwan N. Kurths J. Eur. Phys. J. B 2011, 84(4):653. and.
10. Yang Y. Yang H. Physica A 2008, 387:1381. 10.1016/j.physa.2007.10.055, and.
11. Gao Z. Jin N. Phys. Rev. E 2009, 79:066303. 10.1103/PhysRevE.79.066303, and.
12. Lacasa L. Luque B. Ballesteros F. Luque J. Nuno J.C. Proc. Natl. Acad. Sci. USA 2008, 105:4972. 10.1073/pnas.0709247105, and.
13. Albert R. Jeong H. Barabási A.L. Nature 1999, 401:130. 10.1038/43601, and.
14. Watts D.J. Strogatz S.H. Nature 1998, 393:440. 10.1038/30918, and.
15. Linton C.F. Sociometry 1977, 40:35. 10.2307/3033543.
16. Estrada E. Rodríguez-Velázquez J. Phys. Rev. E 2005, 71:056103. 10.1103/PhysRevE.71.056103, and.
17. Bonacich P. J. Math. Sociol. 1972, 2:113. 10.1080/0022250X.1972.9989806.
18. Milo R. Shen-Orr S. Itzkovitz S. Kashtan N. Chklovskii D. Alon U. Science 2002, 298:824. 10.1126/science.298.5594.824, and.
19. Kim H.-J. Kim J.M. Phys. Rev. E 2005, 72:036109. 10.1103/PhysRevE.72.036109, and.
20. Newman M.E. J. Phys. Rev. Lett. 2002, 89:208701. 10.1103/PhysRevLett.89.208701.
21. Newman M.E. J. Girvan M. Phys. Rev. E 2004, 69:026113. 10.1103/PhysRevE.69.026113, and.
22. Fortunato S. Phys. Rep. 2010, 486:75. 10.1016/j.physrep.2009.11.002.
23. Eckmann J.P. Kamphorst S.O. Ruelle D. Europhys. Lett. 1987, 4:973. 10.1209/0295-5075/4/9/004, and.
24. Xu X.K. Zhang J. Small M. Proc. Natl. Acad. Sci. USA 2008, 105:19601. 10.1073/pnas.0806082105, and.
25. Marwan N. Donges J.F. Zou Y. Donner R.V. Kurths J. Phys. Lett. A 2009, 373:4246. 10.1016/j.physleta.2009.09.042, and.
26. Donner R.V. Small M. Donges J.F. Marwan N. Zou Y. Xiang R. Kurths J. Int. J. Bifurcation Chaos 2011, 21:1. 10.1142/S0218127411029021, and.
27. That is, we explicitly exclude the possibility that two nodes may be connected if the corresponding time series points have a temporal separation less than half the system pseudo-period.
28. Small M. Tse C.K. Physica D 2002, 164:187. 10.1016/S0167-2789(02)00382-2, and.
29. Small M. Tse C.K. IEEE Trans. Circuits Syst. Fundam. Theor. Appl. 2003, 50:663. 10.1109/TCSI.2003.811020, and.
30. Small M. Yu D. Harrison R.G. Phys. Rev. Lett. 2001, 87:188101. 10.1103/PhysRevLett.87.188101, and.