An independent test of methods of detecting system states and bifurcations in time-series data

Physica A: Statistical Mechanics and its Applications

Volumn 391, Issue 3, 2012, Pages 485-496

  Livina, V N ^a   Ditlevsen, P D ^b   Lenton, T M ^c  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

^c UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Degenerate fingerprinting; Potential analysis; Time series analysis

Indexed keywords

BIFURCATION (MATHEMATICS); TESTING;

ABRUPT TRANSITION; CRITICAL EVALUATION; DEGENERATE FINGERPRINTING; DETECTING SYSTEMS; NUMBER OF STATE; POTENTIAL ANALYSIS; TEST SAMPLES; TIME-SERIES DATA;

TIME SERIES ANALYSIS;

EID: 80455122931     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2011.08.025     Document Type: Article

References (30)

1. T. Schreiber, A. Schmitz, Surrogate time series, Physica D, 142, 346382.
2. T.Z. Liu Blind testing of rock varnish microstratigraphy as a chronometric indicator: results on late Quaternary lava flows in the Mojave Desert, California Geomorphology 53 34 2003 209 234
3. G. Parkin, G. ODonnell, J. Ewen, J.C. Bathurst, P.E. OConnell, J. Lavabre, Validation of catchment models for predicting land-use and climate change impacts. 2. Case study for a Mediterranean catchment, J. Hydrol., 175 (14) 595613.
4. J.C. Bathurst, J. Ewen, G. Parkin, P.E. O'Connell, J.D. Cooper, Validation of catchment models for predicting land-use and climate change impacts. 3. Blind validation for internal and outlet responses, J. Hydrol., 287 (14) 7494.
5. P.D. Ditlevsen Observation of α-stable noise induced millenial climate changes from an ice-core record Geophys. Res. Lett. 26 10 1999 1441 1444 (Pubitemid 29483584)
6. D. Paillard Glacial cycles: toward a new paradigm Rev. Geophys. 39 3 2001 325 346 (Pubitemid 32901532)
7. F Kwasniok, and G Lohmann Deriving dynamical models from paleoclimatic records: application to glacial millennial-scale climate transitions Phys. Rev. E 80 2009 066104
8. V.N. Livina, F. F. Kwasniok, and T.M. Lenton Potential analysis reveals changing number of climate states during the last 60 kyr Clim. Past 6 2010 77 82
9. D.J. Peavoy, and C. Franzke Bayesian analysis of rapid climate change during the last glacial using Greenland d18O data Clim. Past 6 2010 787 794
10. H. Held, and T Kleinen Detection of climate system bifurcations by degenerate fingerpinting Geophys. Res. Lett. 31 2004 L23207
11. V. Livina, and T. Lenton A modified method for detecting incipient bifurcations in a dynamical system Geophys. Res. Lett. 34 2007 L03712
12. M. Budyko The effect of solar radiation variations on the climate of the earth Tellus XXI 5 1969 611 619
13. W. Sellers A global climatic model based on the energy balance of the earth-atmosphere system (1969) J. Appl. Meteorol. 8 1969 392 400
14. K. Hasselmann Stochastic climate models. part I. theory Tellus XXVIII 6 1976 473 485
15. K. Hasselmann Climate change: linear and nonlinear signature Nature 398 1999 755
16. C. Nicolis, and G. Nicolis Stochastic aspects of climate transitionsadditive fluctuations Tellus 33 1981 225 234
17. R. Benzi, A. Sutera, and A. Vulpiani The mechanism of stochastic resonance J. Phys. A: Math. Gen 14 1981 L453 L457
18. V.N. Livina, F. Kwasniok, G. Lohmann, J.W. Kantelhardt, and T.M. Lenton Changing climate states and stability: from Pliocene to present Clim. Dyn. 2011 10.1007/s00382-010-0980-2
19. S.J. Julier, and J.K. Uhlmann Unscented filtering and nonlinear estimations Proc. IEEE 92 3 2004 401
20. H. Voss, J. Timmer, and J. Kurths Nonlinear dynamical system identification from uncertain and indirect measurements Internat. J. Bifur. Chaos 14 6 2004 1905 1933 (Pubitemid 40253155)
21. C.-K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, and A.L. Goldberger Mosaic organization of DNA nucleotides Phys. Rev. E 49 1994 1685 1689
22. S.V. Buldyrev, A.L. Goldberger, S. Havlin, R.N. Mantegna, M. Matsa, C.-K. Peng, S. Simons, and H.E. Stanley Long-range correlations properties of coding and noncoding DNA sequences: GenBank analysis Phys. Rev. E 51 1995 5084 5087
23. C.-K. Peng, S. Havlin, H.E. Stanley, and A.L. Goldberger Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series Chaos 5 1995 82 87
24. A. Bunde, S. Havlin, J.W. Kantelhardt, T. Penzel, J.H. Peter, and K. Voigt Correlated and uncorrelated regions in heart-rate fluctuations during sleep Phys. Rev. Lett. 85 2000 3736 3739
25. Y. Ashkenazy, P.Ch. Ivanov, S. Havlin, C.-K. Peng, A.L. Goldberger, and H.E. Stanley Magnitude and sign correlations in heartbeat fluctuations Phys. Rev. Lett. 86 2001 1900 1903 (Pubitemid 32252805)
26. E. Koscielny-Bunde, A. Bunde, S. Havlin, H.E. Roman, Y. Goldreich, and H.-J. Schellnhuber Indication of a universal persistence law governing atmospheric variability Phys. Rev. Lett. 81 1998 729 732 (Pubitemid 128628354)
27. J.W. Kantelhardt, E. Koscielny-Bunde, D. Rybski, P. Braun, A. Bunde, and S. Havlin Long-term persistence and multifractality of precipitation and river runoff records J. Geophys. Res. Atmos. 111 D1 2006 D01106
28. H. Makse, Havlin S, Schwartz M, and E. Stanley Method for generating long-range correlations for large systems Phys. Rev. E 53 5 1996 5445 5449 (Pubitemid 126598821)
29. P.D Ditlevsen, and S.J. Johnsen Tipping points: early warning and wishful thinking Geophys. Res. Lett. 37 2010 L19703 10.1029/2010GL044486
30. S. Lennartz, and A. Bunde Eliminating finite-size effects and detecting the amount of whit noise in short records with long-term memory Phys. Rev. E 79 2009 066101