Finding recurrence networks' threshold adaptively for a specific time series

Nonlinear Processes in Geophysics

Volumn 21, Issue 6, 2014, Pages 1085-1092

  Eroglu, D ^a,b   Marwan, N ^a   Prasad, S ^c   Kurths, J ^a,b,d  

^a POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c UNIVERSITY OF POTSDAM   (Germany)

^d UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATE CHANGE; LACUSTRINE DEPOSIT; MODELING; TIME SERIES;

EID: 84911375054     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-21-1085-2014     Document Type: Article

References (37)

1. Asghari, N., Broeg, C., Carone, L., Casas-Miranda, R., Palacio, J. C. C., Csillik, I., Dvorak, R., Freistetter, F., Hadjivantsides, G., Hussmann, H., Khramova, A., Khristoforova, M., Khromova, I., Kitiashivilli, I., Kozlowski, S., Laakso, T., Laczkowski, T., Lytvinenko, D., Miloni, O., Morishima, R., Moro-Martin, A., Paksyutov, V., Pal, A., Patidar, V., Pecnik, B., Peles, O., Pyo, J., Quinn, T., Rodriguez, A., Romano, M. C., Saikia, E., Stadel, J., Thiel, M., Todorovic, N., Veras, D., Neto, E. V., Vilagi, J., von Bloh,W., Zechner, R., and Zhuchkova, E.: Stability of terrestrial planets in the habitable zone of Gl 777 A, HD 72659, Gl 614, 47 Uma and HD 4208, Astron. Astrophys., 426, 353-365, doi:10.1051/0004-6361:20040390, 2004.
2. Bartov, Y., Agnon, A., Enzel, Y., and Stein, M.: Catastrophic arid episodes in the Eastern Mediterranean climate linked with the North Atlantic Heinrich events, Geology, 31, 439-442, 2003.
3. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., and Hwang, D. U.: Complex networks: structure and dynamics, Phys. Reports, 424, 175-308, doi:10.1016/j.physrep.2005.10.009, 2006.
4. Bond, G., Showers, W., Cheseby, M., Lotti, R., Almasi, P., deMenocal, P., Priore, P., Cullen, H., Hajdas, I., and Bonani, G.: A Pervasive Millennial-Scale Cycle in North Atlantic Holocene and Glacial Climates, Science, 278, 1257-1266, doi:10.1126/science.278.5341.1257, 1997.
5. Carrubba, S., Minagar, A., Chesson Jr., A. L., Frilot II, C., and Marino, A.: Increased determinism in brain electrical activity occurs in association with multiple sclerosis, Neurolog. Res., 34, 286-290, doi:10.1179/1743132812Y.0000000010, 2012.
6. Donges, J. F., Donner, R. V., Trauth, M. H., Marwan, N., Schellnhuber, H. J., and Kurths, J.: Nonlinear detection of paleoclimate-variability transitions possibly related to human evolution, P. Natl. Acad. Sci., 108, 20422-20427, doi:10.1073/pnas.1117052108, 2011.
7. Donges, J. F., Heitzig, J., Donner, R. V., and Kurths, J.: Analytical framework for recurrence network analysis of time series, Phys. Rev. E, 85, 046105, doi:10.1103/PhysRevE.85.046105, 2012.
8. Donner, R. V., Zou, Y., Donges, J. F., Marwan, N., and Kurths, J.: Ambiguities in recurrence-based complex network representations of time series, Phys. Rev. E, 81, 015101(R), doi:10.1103/PhysRevE.81.015101, 2010.
9. Donner, R. V., Small, M., Donges, J. F., Marwan, N., Zou, Y., Xiang, R., and Kurths, J.: Recurrence-based time series analysis by means of complex network methods, Int. J. Bifurcat. Chaos, 21, 1019-1046, doi:10.1142/S0218127411029021, 2011.
10. Eckmann, J.-P., Oliffson Kamphorst, S., and Ruelle, D.: Recurrence Plots of Dynamical Systems, Europhys. Lett., 4, 973-977, doi:10.1209/0295-5075/4/9/004, 1987.
11. Hirata, Y., Horai, S., and Aihara, K.: Reproduction of distance matrices from recurrence plots and its applications, Eur. Phys. J., 164, 13-22, doi:10.1140/epjst/e2008-00830-8, 2008.
12. Kantz, H. and Schreiber, T.: Nonlinear Time Series Analysis, University Press, Cambridge, 1997.
13. Marwan, N.: A Historical Review of Recurrence Plots, Eur. Phys. J., 164, 3-12, doi:10.1140/epjst/e2008-00829-1, 2008.
14. Marwan, N.: How to avoid potential pitfalls in recurrence plot based data analysis, Int. J. Bifurcat. Chaos, 21, 1003-1017, doi:10.1142/S0218127411029008, 2011.
15. Marwan, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., and Kurths, J.: Recurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability Data, Phys. Rev. E, 66, 026702, doi:10.1103/PhysRevE.66.026702, 2002.
16. Marwan, N., Trauth, M. H., Vuille, M., and Kurths, J.: Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods, Clim. Dynam., 21, 317-326, doi:10.1007/s00382-003-0335-3, 2003.
17. Marwan, N., Romano, M. C., Thiel, M., and Kurths, J.: Recurrence Plots for the Analysis of Complex Systems, Phys. Reports, 438, 237-329, doi:10.1016/j.physrep.2006.11.001, 2007.
18. Marwan, N., Donges, J. F., Zou, Y., Donner, R. V., and Kurths, J.: Complex network approach for recurrence analysis of time series, Phys. Lett. A, 373, 4246-4254, doi:10.1016/j.physleta.2009.09.042, 2009.
19. Matcharashvili, T., Chelidze, T., and Peinke, J.: Increase of order in seismic processes around large reservoir induced by water level periodic variation, Nonlin. Dynam., 51, 399-407, doi:10.1007/s11071-007-9219-0, 2008.
20. Neuman, Y., Marwan, N., and Livshitz, D.: The Complexity of Advice-Giving, Complexity, 15, 28-30, doi:10.1002/cplx.20270, 2009.
21. Newman, M.: Assortative mixing in networks, Phys. Rev. Lett., 89, 208701, doi:10.1103/PhysRevLett.89.208701, 2002.
22. Packard, N. H., Crutchfield, J. P., Farmer, J. D., and Shaw, R. S.: Geometry from a Time Series, Phys. Rev. Lett;, 45, 712-716, doi:10.1103/PhysRevLett.45.712, 1980.
23. Poincaré, H.: Sur la probleme des trois corps et les équations de la dynamique, Acta Mathematica, 13, 1-271, 1890.
24. Prasad, S., Vos, H., Negendank, J., Waldmann, N., Goldstein, S. L., and Stein, M.: Evidence from Lake Lisan of solar influence on decadal-to centennial-scale climate variability during marine oxygen isotope stage 2, Geology, 32, 581-584, doi:10.1130/G20553.1, 2004.
25. Prasad, S., Negendank, J., and Stein, M.: Varve counting reveals high resolution radiocarbon reservoir age variations in palaeolake Lisan, J. Quaternary Sci., 24, 690-696, 2009.
26. Ramírez Ávila, G. M., Gapelyuk, A., Marwan, N., Walther, T., Stepan, H., Kurths, J., and Wessel, N.: Classification of cardiovascular time series based on different coupling structures using recurrence networks analysis, Philos. T. Roy. Soc. A, 371, 20110623, doi:10.1098/rsta.2011.0623, 2013.
27. Riley M. A., Balasubramaniam, R., and Turvey, M. T.: Recurrence quantification analysis of postural fluctuations, Gait Posture 9,65-78,10.1016/S0966-6362(98)00044-7,1999.
28. Schinkel, S., Dimigen, O., and Marwan, N.: Selection of recurrence threshold for signal detection, Eur. Phys. J., 164, 45-53, doi:10.1140/epjst/e2008-00833-5, 2008.
29. Singer, W.: Neuronal synchrony: a versatile code for the definition of relations?, Neuron, 24, 49-65, 1999.
30. Stein, M., Starinsky, A., Katz, A., Goldstein, S., Machlus, M., and Schramm, A.: Strontium isotopic, chemical, and sedimentological evidence for the evolution of Lake Lisan and the Dead Sea, Geochim. Cosmochim. Acta, 61, 3975-3992, 2003.
31. Stuiver, M. and Grootes, P.: GISP2 oxygen isotope ratios, Quaternary Res., 53, 277-283, 2000.
32. Thiel, M., Romano, M. C., and Kurths, J.: How much information is contained in a recurrence plot?, Phys. Lett. A, 330, 343-349, doi:10.1016/j.physleta.2004.07.050, 2004.
33. Torfstein, A., Goldstein, S., Stein, M., and Enzel, Y.: Impacts of abrupt climate changes in the Levant from Last Glacial Dead Sea levels, Quaternary Sci. Rev., 69, 1-7, 2013.
34. Trulla, L. L., Giuliani, A., Zbilut, J. P., and Webber Jr., C. L.: Recurrence quantification analysis of the logistic equation with transients, Phys. Lett. A, 223, 255-260, doi:10.1016/S0375-9601(96)00741-4, 1996.
35. Watts, D. J. and Strogatz, S. H.: Collective dynamics of 'smallworld' networks, Nature, 393, 440-442, doi:10.1038/30918, 1998.
36. Zolotova, N. V., Ponyavin, D. I., Marwan, N., and Kurths, J.: Longterm asymmetry in the wings of the butterfly diagram, Astron. Astrophys., 505, 197-201, doi:10.1051/0004-6361/200811430, 2009.
37. Zou, Y., Donner, R. V., Donges, J. F., Marwan, N., and Kurths, J.: Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods, Chaos, 20, 043130, doi:10.1063/1.3523304, 2010.