Entropy rate estimates from mutual information

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 4, 2011, Pages

  Wissman, B D ^a   McKay Jones, L C ^a,b   Binder, P M ^a  

^a UNIVERSITY OF HAWAII AT HILO   (United States)

^b UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE PROPERTIES; ENTROPY RATES; FUNCTION OF TIME; KOLMOGOROV-SINAI ENTROPY; MUTUAL INFORMATION FUNCTIONS; MUTUAL INFORMATIONS;

ENTROPY; SIGNAL THEORY; TIME SERIES;

CHAOTIC SYSTEMS;

EID: 80054872070     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.046204     Document Type: Article

References (22)

1. V. I. Oseledets, Trans. Mosc. Math. Soc. 19, 179 (1968).
2. Y. Pesin, Dimension Theory in Dynamical Systems: Contemporary Views and Applications (University of Chicago Press, Chicago, 1997).
3. U. Krengel, Ergodic Theorems (Walter de Gruyter, Berlin, 1985).
4. R. S. Shaw, Z. Naturforsch. 36a, 80 (1980).
5. P. Frederickson, J. L. Kaplan, E. D. Yorke, and J. A. Yorke, J. Differ. Eqn. JDEQAK 0022-0396 10.1016/0022-0396(83)90011-6 49, 185 (1983).
6. F. Ledrappier, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01208896 81, 229 (1981).
7. Y. Gu and J. Wang, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97) 00194-1 229, 208 (1997).
8. V. Latora and M. Baranger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.520 82, 520 (1999).
9. V. Latora, M. Baranger, A. Rapisarda, and C. Tsallis, Phys. Lett. A 0375-9601 10.1016/S0375-9601(00)00484-9 273, 97 (2000).
10. M. Falcioni, L. Palatella, and A. Vulpiani, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.016118 71, 016118 (2005). (Pubitemid 40619999)
11. A. M. Fraser and H. L. Swinney, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1134 33, 1134 (1986).
12. H. D. I. Abarbanel, The Analysis of Observed Chaotic Data (Springer, New York, 1997).
13. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, UK, 2004).
14. J. C. Sprott, Chaos and Time Series Analysis (Oxford University Press, Oxford, UK, 2003).
15. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, Meccanica MECCB9 0025-6455 10.1007/BF02128237 9, 21 (1980).
16. A. Wolf, J. Swift, H. Swinney, and J. Vastano, Physica D 0167-2789 10.1016/0167-2789(85)90011-9 16, 285 (1985).
17. K. Geist, U. Parlitz, and W. Lauterborn, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.83.875 83, 875 (1990).
18. R. Hegger, H. Kantz, and T. Schreiber, Chaos CHAOEH 1054-1500 10.1063/1.166424 9, 143 (1999).
19. P.-M. Binder and B. D. Wissman, Chaos CHAOEH 1054-1500 10.1063/1.3298244 20, 013106 (2010).
20. M. Hénon, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608556 50, 69 (1976).
21. O. E. Rössler, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(79) 90150-6 71, 155 (1979).
22. E. N. Lorenz, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/1520-0469(1963) 020<0130:DNF>2.0.CO;2 20, 130 (1963).