Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution

European Physical Journal B

Volumn 1, Issue 4, 1998, Pages 545-548

  Tamarit, F A ^a   Cannas, S A ^a   Tsallis, C ^a,b,c  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^c CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

05.20. y Statistical mechanics; 05.45.+b Theory and models of chaotic systems; 05.70.Ln Nonequilibrium thermodynamics, irreversible processes

Indexed keywords

CHAOS THEORY; STATISTICAL MECHANICS; THERMODYNAMICS;

BIOLOGICAL EVOLUTION; IRREVERSIBLE PROCESSES; NON-EQUILIBRIUM THERMODYNAMICS; SELF-ORGANIZED CRITICAL STATE;

BIOLOGY;

EID: 0031627680     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050217     Document Type: Article

References (32)

1. P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. A 38, 364 (1988).
2. P. Bak, K. Chen, Self-organized criticality, in Scientific American (January 1991) p. 26.
3. Z. Olami, H.J.S. Feder, K. Christensen, Phys. Rev. Lett. 68, 1244 (1992).
4. V. Frette, K. Christensen, A. Malthe-Sorenssen, J. Feder, T. Jossang, P. Meakin, Nature 379, 49 (1996).
5. K. Christensen, A. Corral, V. Frette, J. Feder, T. Jossang, Phys. Rev. Lett. 77, 107 (1996).
6. P. Bak, K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
7. S.J. Gould, Paleobiology 3, 135 (1997).
8. M. de Sousa Vieira, Phys. Rev. E 54, 5925 (1996).
9. M.J. Feigenbaum, J. Stat. Phys. 19, 25 (1978).
10. C. Tsallis, A.R. Plastino, W.-M. Zheng, Chaos, Solitons and Fractals 8, 885 (1997).
11. U.M.S. Costa, M.L. Lyra, A.R. Plastino, C. Tsallis, Phys. Rev. E 56, 245 (1997); M.L. Lyra, C. Tsallis, Phys. Rev. Lett. (1997), in press.
12. U.M.S. Costa, M.L. Lyra, A.R. Plastino, C. Tsallis, Phys. Rev. E 56, 245 (1997); M.L. Lyra, C. Tsallis, Phys. Rev. Lett. (1997), in press.
13. F. Wang, N. Hatano, M. Suzuki, J. Phys. A 28, 4543 (1995).
14. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
15. E.M.F. Curado, C. Tsallis, J.Phys. A 24, L69 (1991) [Corrigenda, 24, 3187 (1991), 25, 1019 (1992)]; C. Tsallis, Phys. Lett. A 206, 389 (1995).
16. E.M.F. Curado, C. Tsallis, J.Phys. A 24, L69 (1991) [Corrigenda, 24, 3187 (1991), 25, 1019 (1992)]; C. Tsallis, Phys. Lett. A 206, 389 (1995).
17. A. R. Plastino, A. Plastino, Phys. Lett. A 174, 384 (1993); J.J. Aly, in N-body problems and gravitational dynamics, Proceedings of the Meeting held at Aussois-France (21- 25 March 1993), edited by F. Combes, E. Athanassoula (Publications de l'Observatoire de Paris, Paris, 1993), p. 19; A.R. Plastino, A. Plastino, Phys. Lett. A 193, 251 (1994).
18. A. R. Plastino, A. Plastino, Phys. Lett. A 174, 384 (1993); J.J. Aly, in N-body problems and gravitational dynamics, Proceedings of the Meeting held at Aussois-France (21-25 March 1993), edited by F. Combes, E. Athanassoula (Publications de l'Observatoire de Paris, Paris, 1993), p. 19; A.R. Plastino, A. Plastino, Phys. Lett. A 193, 251 (1994).
19. A. R. Plastino, A. Plastino, Phys. Lett. A 174, 384 (1993); J.J. Aly, in N-body problems and gravitational dynamics, Proceedings of the Meeting held at Aussois-France (21- 25 March 1993), edited by F. Combes, E. Athanassoula (Publications de l'Observatoire de Paris, Paris, 1993), p. 19; A.R. Plastino, A. Plastino, Phys. Lett. A 193, 251 (1994).
20. B.M. Boghosian, Phys. Rev. E 53, 4754 (1996).
21. C. Anteneodo, C. Tsallis, J. Mol. Liq. 71, 255 (1997), in press.
22. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995); C. Tsallis, S.V.F. Levy, A.M.C. de Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); M.O. Caceres, C.E. Budde, Phys. Rev. Lett. 77, 2589 (1996); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 77, 2590 (1996).
23. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995); C. Tsallis, S.V.F. Levy, A.M.C. de Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); M.O. Caceres, C.E. Budde, Phys. Rev. Lett. 77, 2589 (1996); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 77, 2590 (1996).
24. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995); C. Tsallis, S.V.F. Levy, A.M.C. de Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); M.O. Caceres, C.E. Budde, Phys. Rev. Lett. 77, 2589 (1996); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 77, 2590 (1996).
25. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995); C. Tsallis, S.V.F. Levy, A.M.C. de Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); M.O. Caceres, C.E. Budde, Phys. Rev. Lett. 77, 2589 (1996); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 77, 2590 (1996).
26. P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995); C. Tsallis, S.V.F. Levy, A.M.C. de Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); M.O. Caceres, C.E. Budde, Phys. Rev. Lett. 77, 2589 (1996); D.H. Zanette, P.A. Alemany, Phys. Rev. Lett. 77, 2590 (1996).
27. A.R. Plastino, A. Plastino, Physica A 222, 347 (1995); C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996); A. Compte, D. Jou, J. Phys. A 29, 4321 (1996); D.A. Stariolo, Phys. Rev. E (1997), in press.
28. A.R. Plastino, A. Plastino, Physica A 222, 347 (1995); C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996); A. Compte, D. Jou, J. Phys. A 29, 4321 (1996); D.A. Stariolo, Phys. Rev. E (1997), in press.
29. A.R. Plastino, A. Plastino, Physica A 222, 347 (1995); C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996); A. Compte, D. Jou, J. Phys. A 29, 4321 (1996); D.A. Stariolo, Phys. Rev. E (1997), in press.
30. A.R. Plastino, A. Plastino, Physica A 222, 347 (1995); C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996); A. Compte, D. Jou, J. Phys. A 29, 4321 (1996); D.A. Stariolo, Phys. Rev. E (1997), in press.
31. Further information can be found in http://tsallis.cat.cbpf.br/biblio.htm
32. S.A. Kauffman, The Origins of Order (Oxford University Press, 1993) p. 29.