Symbolic dynamics and topological entropy at the onset of pruning

Zeitschrift fur Physik B-Condensed Matter

Volumn 103, Issue 3, 1997, Pages 539-546

  Breymann, Wolfgang ^a   Vollmer, Jürgen ^a,b  

^a UNIVERSITY OF BASEL   (Switzerland)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010465108     PISSN: 07223277     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002570050408     Document Type: Article

References (38)

1. E. Ott, Chaos in Dynamical Systems. Cambridge University Press, Cambridge, 1993
2. T. Tél, in H. Bai-Lin (ed.). Directions in Chaos, Vol. 3. World Scientific, Singapore, 1990
3. C. Jung and H.-J. Scholz, J. Phys. A20, 3607 (1987);
4. B. Eckhardt, Physica D33, 89 (1988)
5. P. Reichert and R. Schilling, Phys. Rev. B32, 5731 (1985)
6. W. Breymann, Nonhyperbolic and Incomplete Invariant Sets in Chaotic Dynamical Systems. Habilitation thesis, Basel, 1994 (unpublished)
7. S. Aubry, in Physics of Defects, edited by R. Balian, M. Kléman, and J.-P. Poirier (North-Holland, Amsterdam) 1981;
8. S. Aubry, J. Phys. CI6, 2497 (1983);
9. Physica 7D, 240 (1983);
10. S. Aubry and P. Y. Le Daeron, Physica 8D, 381 (1983)
11. R. Schilling, in H. Thomas (ed.) Nonlinear Dynamics in Solids. Berlin: Springer 1992
12. W.J. Firth, Phys. Lett. A 125 (1987) 375;
13. Phys. Rev. Lett. 61 (1988) 329
14. P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems. Birkhäuser, Basel, 1980
15. Hao Bai-Lin, Elementary Symbolic Dynamics in Dissipative Systems. World Scientific, Singapore, 1989
16. V. M. Alekseev and M. V. Yakobson, Phys. Rep. 75 (5), 287 (1981)
17. J.-P. Eckmann and D. Ruelle, Rev. Mod. Phys. 57, 617 (1985)
18. Z. Kovács and T. Tél, Phys. Rev. Lett. 64, 1617 (1990);
19. T. Tél, Phys. Rev. A 44 (1991) 1034
20. J. Vollmer, W. Breymann and R. Schilling, Phys. Rev. B 47, 767 (1993)
21. W. Breymann and C. Jung, Europhys. Lett. 25 (1994) 509
22. P. Cvitanović, G. H. Gunaratne and I. Procaccia, Phys. Rev. A 38, 1503 (1988)
23. P. Grassberger and H. Kantz, Phys. Lett. 113A, 235 (1985);
24. P. Grassberger, H. Kantz and U. Moenig, J. Phys. A 22, 5217 (1989)
25. P. Häner and R. Schilling, Europhys. Lett. 8, 129 (1989)
26. M.J. Davis, R.S. MacKay, and A. Sannami, Physica D 52, 171 (1991)
27. B. Rückerl and C. Jung, J. Phys. A 27, 55 (1994);
28. B. Rückerl and C. Jung, J. Phys. 6741 (1994)
29. J. Vollmer and W. Breymann, Europhys. Lett. 27 (1994) 23-28
30. C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36 (11), 5365 (1987)
31. K.G. Szabo, Y-C. Lai, T. Tel, C. GrebogiPhys. Rev. Lett. 77 (1996) 3102-3105
32. M. Hénon, Physica D33, 132 (1988);
33. J. Vollmer, Z. Naturforschung, 49a 861 (1994)
34. C. Beck and F. Schlögle, Thermodynamic Formalism. Cambridge: Cambridge University Press 1993
35. W. Breymann, Z. Kovács, and T. Tél, Phys. Rev. E50, 1994 (1994)
36. C. Lipp and C. Jung, J. Phys. A28, 6887 (1995)
37. P. Häner, Metatabile Konfigurationen eindimensionaler Systeme unter Spannung. Diplomarbeit, Universität Basel, 1988 (unpublished)
38. C. Jung, private communication