Forbidden ordinal patterns in higher dimensional dynamics

Physica D: Nonlinear Phenomena

Volumn 237, Issue 22, 2008, Pages 2893-2899

  Amigó, José M ^a   Kennel, Matthew B ^b  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Ordinal patterns; Time series analysis; Topological permutation entropy

Indexed keywords

ENTROPY; TOPOLOGY; WHITE NOISE;

FORBIDDEN PATTERN; HIGHER-DIMENSIONAL; INTERVAL MAPS; NUMBER OF CLASS; ORDINAL PATTERN; PERMUTATION ENTROPY; SELF-MAPS; TOPOLOGICAL ENTROPY;

TIME SERIES ANALYSIS;

EID: 53249107755     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2008.05.003     Document Type: Article

References (12)

1. Amigó J.M., Kennel M.B., and Kocarev L. The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems. Physica D 210 (2005) 77-95
2. Amigó J.M., and Kennel M.B. Topological permutation entropy. Physica D 231 (2007) 137-142
3. Amigó J.M., Zambrano S., and Sanjuán M.A.F. True and false forbidden patterns in deterministic and random dynamics. Europhys. Lett. 79 (2007) 50001-p1, -p5
4. Amigó J.M., Elizalde S., and Kennel M.B. Forbidden patterns and shift systems. J. Comb. Theory, Ser. A 115 (2008) 485-504
5. Bandt C., Keller G., and Pompe B. Entropy of interval maps via permutations. Nonlinearity 15 (2002) 1595-1602
6. Bunge J., and Fitzpatrick M. Estimating the number of species: A review. J. Am. Stat. Assoc. 88 (1993) 364-373
7. Chao A. Nonparametric estimation of the number of classes in a population. Scand. J. Stat. Theory Appl. 9 (1984) 265-270
8. Choe G.H. Computational Ergodic Theory (2005), Springer Verlag, Berlin
9. Hughes J., Hellman J., Rickets T.H., and Bohannan B.J.M. Counting the uncountable: Statistical approaches to estimating microbial diversity. Appl. Environ. Microb. 67 (2001) 4399-4406
10. Katok A., and Hasselblatt B. Introduction to the Modern Theory of Dynamical Systems (1998), Cambridge University Press, Cambridge
11. Matsumoto M., and Nishimura T. Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans. Model. Comput. Simul. 8 (1998) 3-30
12. Walters P. An Introduction to Ergodic Theory (2000), Springer Verlag, New York