Discontinuous pattern of cumulative separation between orbits of chaotic transient

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 235, Issue 2, 1997, Pages 139-144

  Paar, V ^a   Pavin, N ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Average lifetime; Controlling chaos; Cumulative separation of orbits; Modified logistic map; Transient chaos; Uncertainty exponent; Unstable periodic orbits

Indexed keywords

CHAOS THEORY;

AVERAGE LIFETIME; CONTROLLING CHAOS; MODIFIED LOGISTIC MAP; TRANSIENT CHAOS; UNCERTAINTY EXPONENT; UNSTABLE PERIODIC ORBITS;

SEPARATION;

EID: 0040759218     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00650-6     Document Type: Article

References (28)

1. T. Tel, in: Directions in Chaos, Vol. 3, ed. Hao Bai-lin (World Scientific, Singapore, 1990) p. 149.
2. J.A. Yorke and E.D. Yorke, J. Stat. Phys. 21 (1979) 263.
3. G. Pianigiani and J.A. Yorke, Trans. Am. Math. Soc. 252 (1979) 351.
4. T. Shimizu and N. Morioka, Phys. Lett. A 69 (1978) 148.
5. J. Coste, J. Stat. Phys. 23 (1980) 512.
6. D. Ruelle, Ergod. Theor. Dyn. Syst. 2 (1982) 99.
7. P. Manneville, Phys. Lett. A 90 (1982) 327.
8. M. Widom, D. Bensimon, L.P. Kadanoff and S.I. Shenker, J. Stat. Phys. 32 (1983) 443.
9. C. Grebogi, E. Ott and J.A. Yorke, Physica D 7 (1983) 181.
10. E.N. Lorenz, Physica D 13 (1984) 90.
11. L.P. Kadanoff and C. Tang, Proc. Natl. Acad. Sci. USA 81 (1984) 1276.
12. S.W. McDonald, C. Grebogi, E. Ott and J.A. Yorke, Physica D 17 (1985) 125.
13. H. Kantz and P. Grassberger, Physica D 17 (1985) 75.
14. P. Szepfalusy and T. Tel, Phys. Rev. A 34 (1986) 2520.
15. T. Tel, Phys. Lett. A 119 (1986) 65; Phys. Rev. A 36 (1987) 1502.
16. T. Tel, Phys. Lett. A 119 (1986) 65; Phys. Rev. A 36 (1987) 1502.
17. T. Tel, Phys. Rev. A 36 (1987) 2507.
18. F.M. Izrailev, B. Timmermann and W. Timmermann, Phys. Lett. A 126 (1989) 405.
19. R. Artuso, E. Aurell and P. Cvitanović, Non-linearity 3 (1990) 325, 361.
20. M. Franaszek, Phys. Rev. 46 (1992) 6340.
21. A. Csordas, G. Györgyi, P. Szepfalusy and T. Tel, Chaos 3 (1993) 31.
22. E. Ott, Chaos in dynamical systems (Cambridge University Press, Cambridge, 1993).
23. E. Ott, C. Grebogi and A. Yorke, Phys. Rev. Lett. 54 (1990) 1196.
24. H.G. Schuster, Deterministic Chaos (VCH, 1988).
25. P. Cvitanović, ed., Universality in Chaos (Hilger, Bristol, 1984).
26. H.-O. Peitgen, H. Jürgens and D. Sauppe, Chaos and Fractals (Springer, New York, 1993).
27. C. Grebogi, S.W. McDonald, E. Ott and J.A. Yorke, Phys. Lett. A 99 (1983) 415.
28. S.W. McDonald, C. Grebogi, E. Ott and A. Yorke, Physica D 17 (1985) 125.