Numerical study of the oscillatory convergence to the attractor at the edge of chaos

European Physical Journal B

Volumn 50, Issue 1-2, 2006, Pages 355-359

  Tonelli, R ^a   Coraddu, M ^a  

^a UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); ENTROPY; LOGISTICS; NUMBER THEORY;

CHAOTIC REGION; GENERALIZED LOGISTIC; LOG-LOG OSCILLATIONS; TSALLIS ENTROPY;

CHAOS THEORY;

EID: 33645909588     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2006-00064-6     Document Type: Conference Paper

References (33)

1. C. Beck, F. Schlögl, Thermodynamics of Chaotic Systems (Cambridge Univ. Press, Cambridge, 1993)
2. M. Feigenbaum, J. Stat. Phys. 19, 25 (1978);
3. M. Feigenbaum, J. Stat. Phys. 21, 669 (1979)
4. P. Grassberger, M. Scheunert, J. Stat. Phys. 26, 697 (1981)
5. G. Anania, A. Politi, Europhys. Lett. 7, 119 (1988)
6. H. Hata, T. Horita, H. Mori, Progr. Theor. Phys. 82, 897 (1989)
7. C. Tsallis, J. Stat. Phys. 52, 479 (1988)
8. Garin F.J. Ananos, C. Tsallis, Phys. Rev. Lett. 93, 020601 (2004), e-print arXiv:cond-mat/0401276
9. Ya. Pesin, Russ. Math. Surveys 32, 55 (1977)
10. F. Baldovin, A. Robledo, Phys. Rev. E 66, 045104 (2002) arXiv:cond-mat/0205371;
11. Rev. E 69, 045202 (2004) arXiv:cond-mat/0304410
12. G. Kaniadakis, Physica A 296, 405 (2001);
13. G. Kaniadakis, Phys. Rev. E 66, 056125 (2002);
14. G. Kaniadakis, Phys.Rev. E 72, 036108 (2005)
15. S. Abe, Phys. Lett. A 224, 326 (1997)
16. R. Tonelli, G. Mezzorani, F. Meloni, M. Lissia, M. Coraddu, arXiv:cond-mat/0412730
17. P. Grassberger, Phys Rev. Lett., accepted, arXiv:cond-mat/0508110
18. C. Tsallis, M. Gell-Mann, Nonextensive Entropy-Interdisciplinary Applications (Oxford Univ. Press, 2004)
19. C. Tsallis, A.R. Plastino, W.M. Zheng, Chaos, Solitons and Fractals 8, 885 (1997)
20. M.L. Lyra, C. Tsallis, Phys. Rev. Lett. 80, 53 (1998)
21. G. Kaniadakis, M. Lissia, A.M. Scarfone, Physica A 340, 41 (2004);
22. G. Kaniadakis, M. Lissia, A.M. Scarfone, Phys.Rev. E 71, 046128 (2005)
23. V. Latora, M. Baranger, Phys. Rev. Lett. 82, 520 (1999)
24. V. Latora, M. Baranger, A. Rapisarda, C. Tsallis, Phys. Lett. A 273, 97 (2000)
25. M. Baranger, V. Latora, A. Rapisarda, Chaos, Solitons and Fractals 13, 471 (2001)
26. F.A.B.F. de Moura, U. Tirnakli, M.L. Lyra, Phys. Rev. E 62, 6361 (2000)
27. R. Tonelli, Int. J. Bif. and Chaos, accepted arXiv:nlin.CD/0509030
28. D. Sornette, A. Johansen, A. Arneodo, J.F. Muzy, H. Saleur, Phys. Rev. Lett. 76, 251 (1996);
29. D. Sornette, Phys. Rep. 297, 239 (1998)
30. R. Tonelli et al., arXiv:cond-mat/04012730
31. F. Baldovin, A. Robledo, Europhys. Lett. 60, 518 (2002)
32. M. Coraddu, R. Tonelli, Physica A 340, 234 (2004)
33. J.P. Van Der Weele, H.W. Capel, R. Kluiving, Physica A 145, 425 (1987)