Detecting determinism in time series with ordinal patterns: A comparative study

International Journal of Bifurcation and Chaos

Volumn 20, Issue 9, 2010, Pages 2915-2924

  Amigo J M ^a   Zambrano, S ^b   Sanjuan M A F ^b  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

BDS test; independence test; Ordinal patterns; permutation entropy

Indexed keywords

FRACTAL DIMENSION; GAUSSIAN NOISE (ELECTRONIC); TIME DELAY;

ADMISSIBLE ORDINALS; COMPARATIVE STUDIES; INDEPENDENCE TESTS; MULTIVARIATE TIME SERIES; NOISE LEVELS; ORDINAL PATTERN; PERMUTATION ENTROPY; SUPER-EXPONENTIAL GROWTHS;

TIME SERIES;

EID: 78549260443     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127410027453     Document Type: Conference Paper

References (15)

1. Alligood, K. T., Sauer, T. & Yorke, J. A. [2001] Chaos, an Introduction to Dynamical Systems (Springer, NY).
2. Amigó, J. M., Kennel, M. B. & Kocarev, L. [2005] "The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems," Physica D 210, 77-95.
3. Amigó, J. M., Kocarev, L. & Szczepanski, J. [2006] "Order patterns and chaos," Phys. Lett. A 355, 27-31.
4. Amigó, J. M. & Kennel, M. B. [2007] "Topological permutation entropy," Physica D 231, 137-142.
5. Amigó, J. M., Zambrano, S. & Sanjúan, M. A. F. [2007] "True and false forbidden patterns in deterministic and random dynamics," Europhys. Lett. 79, 50001.
6. Amigó, J. M., Elizalde, S. & Kennel, M. B. [2008a] "Forbidden patterns and shift systems," J. Comb. Theoret. Ser. A 115, 485-504.
7. Amigó, J. M., Zambrano, S. & Sanjúan, M. A. F. [2008b] "Combinatorial detection of determinism in noisy time series," Europhys. Lett. 83, 60005.
8. Bandt, C. & Pompe, B. [2002] "Permutation entropy: A natural complexity measure for time series," Phys. Rev. Lett. 88, 174102.
9. Bandt, C., Keller, G. & Pompe, B. [2002] "Entropy of interval maps via permutations," Nonlinearity 15, 1595-1602.
10. Brock, W. A., Dechert, W. D., Scheinkman, J. A. & LeBaron, B. [1996] "A test for independence based on the correlation dimension," Economet. Rev. 15, 197-235.
11. Law, A. M. & Kelton,W. D. [2000] Simulation, Modeling and Analysis (McGraw-Hill, Boston).
12. LeBaron, B. [1997] "A fast algorithm for the BDS statistic," Stud. Nonlin. Dyn. Economet. 2, 53-59.
13. Liu, T., Granger, C. W. J. & Heller, W. P. [1992] "Using the correlation exponent to decide whether an economic series is chaotic," J. Appl. Economet. 7, S25-S39.
14. Sprott, J. C. [2003] Chaos and Time-Series Analysis (Oxford University Press, Oxford, UK).
15. Sprott, J. C. [2006] "High dimensional dynamics in the delayed Hénon map," Electr. J. Theoret. Phys. 3, 19-35.