Entropy of interval maps via permutations

Nonlinearity

Volumn 15, Issue 5, 2002, Pages 1595-1602

  Bandt, Christoph ^a   Keller, Gerhard ^b   Pompe, Bernd ^a  

^a UNIVERSITY MEDICINE GREIFSWALD   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041972659     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/5/312     Document Type: Article

References (11)

1. Bandt C and Pompe B 2002 Permutation entropy - a natural complexity measure for time series Phys. Rev. Lett. 88 174102
2. Blokh A M and Coven E M 1996 Sharkovskij type of cycles Bull. London Math. Soc. 28 417-24
3. Blokh A M and Misiurewicz M 1997 New order of periodic orbits of interval maps Ergodic Theory Dyn. Syst. 17 565-74
4. Bobok J and Kuchta M 1998 X-minimal patterns and a generalization of Sharkovskij's theorem Fund. Math. 15633-66
5. Boyarski A and Góra P 1997 Laws of Chaos - Invariant Measures and Dynamical Systems in One Dimension (Boston: Birkhäuser)
6. Forrest A 2000 Dynamics on ordered Cantor sets Proc. Conf. on Ergodic Theory (Torun, September 2000)
7. Keller G 1998 Equilibrium States in Ergodic Theory (Cambridge: Cambridge University Press)
8. de Melo W and van Strien S 1993 One-dimensional Dynamics (New York: Springer)
9. Misiurewicz M and Szlenk W 1980 Entropy of piecewise monotone mappings Studia Math. 67 45-63
10. Petersen K 1983 Ergodic Theory (Cambridge: Cambridge University Press)
11. Ruelle D 1994 Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (Providence, RI: American Mathematical Society)