Topological permutation entropy

Physica D: Nonlinear Phenomena

Volumn 231, Issue 2, 2007, Pages 137-142

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

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Order patterns; Permutation entropy; Topological entropy

Indexed keywords

DIVERSITY RECEPTION; TOPOLOGY;

DETERMINISTIC SYSTEM; INTRINSIC ENTROPY; PERMUTATION ENTROPY;

ENTROPY;

EID: 34250758658     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.04.010     Document Type: Article

References (9)

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., Kocarev L., and Szczepanski J. Order patterns and chaos. Phys. Lett. A 355 (2006) 27-31
3. Bandt C., Keller G., and Pompe B. Entropy of interval maps via permutations. Nonlinearity 15 (2002) 1595-1602
4. Bandt C., and Pompe B. Permutation entropy: A natural complexity measure for time series. Phys. Rev. Lett. 88 (2002) 174102
5. Keller K., and Sinn M. Ordinal analysis of time series. Physica A 356 (2005) 114-120
6. Misiurewicz M. Permutations and topological entropy for interval maps. Nonlinearity 16 (2003) 971-976
7. Walters P. An Introduction to Ergodic Theory (1982), Springer-Verlag, New York
8. Ishii Y., and Sands D. Monotonicity of the Lozi family near the tent-maps. Comm. Math. Phys. 198 (1998) 397-406
9. http://topo.math.u-psud.fr/ sands/Programs/Lozi/index.html