Critical attractor and universality in a renormalization scheme for three frequency hamiltonian systems

Physical Review Letters

Volumn 81, Issue 23, 1998, Pages 5125-5128

  Chandre, C ^a   Jauslin, H R ^a  

^a UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000532376     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.81.5125     Document Type: Article

References (26)

1. J. M. Greene, J. Math. Phys. (N.Y.), 20, 1183 (1979).
2. L. P. Kadanoff, Phys. Rev. Lett., 47, 1641 (1981).
3. S. J. Shenker and L. P. Kadanoff, J. Stat. Phys., 27, 631 (1982).
4. R. S. MacKay, Physica (Amsterdam), 7D, 283 (1983).
5. M. Govin, C. Chandre, and H. R. Jauslin, Phys. Rev. Lett., 79, 3881 (1997).
6. C. Chandre, M. Govin, and H. R. Jauslin, Phys. Rev. E, 57, 1536 (1998).
7. C. Chandre, M. Govin, H. R. Jauslin, and H. Koch, Phys. Rev. E, 57, 6612 (1998).
8. J. J. Abad, H. Koch, and P. Wittwer, Nonlinearity, 11, 1185 (1998).
9. J. M. Mao and R. H. G. Helleman, Nuovo Cimento B, 104, 177 (1989).
10. R. Artuso, G. Casati, and D. L. Shepelyansky, Europhys. Lett., 15, 381 (1991).
11. S. Tompaidis, Exp. Math., 5, 197 (1996).
12. S. Kurosaki and Y. Aizawa, Prog. Theor. Phys., 98, 783 (1997).
13. S. R. McKay, A. N. Berker, and S. Kirkpatrick, Phys. Rev. Lett., 48, 767 (1982).
14. B. Derrida, J. P. Eckmann, and A. Erzan, J. Phys. A, 16, 893 (1983).
15. O. E. Lanford, in Statistical Mechanics and Field Theory: Mathematical Aspects, T. C. Dorlas, N. M. Hugenholtz, and M. Winnink (Springer-Verlag, Berlin, 1986).
16. D. A. Rand, Proc. R. Soc. London A, 413, 45 (1987).
17. D. K. Umberger, J. D. Farmer, and I. I. Satija, Phys. Lett., 114A, 341 (1986).
18. I. I. Satija, Phys. Rev. Lett., 58, 623 (1987).
19. D. F. Escande and F. Doveil, J. Stat. Phys., 26, 257 (1981).
20. D. F. Escande, Phys. Rep., 121, 165 (1985).
21. C. Chandre, H. R. Jauslin, and G. Benfatto, J. Stat. Phys., (to be published).
22. R. S. MacKay, J. D. Meiss, and J. Stark, Phys. Lett. A, 190, 417 (1994).
23. J. Moser, Ergod. Th. Dynam. Sys., 8, 251 (1988).
24. S. Kim and S. Ostlund, Phys. Rev. A, 34, 3426 (1986).
25. E. M. Bollt and J. D. Meiss, Physica (Amsterdam), 66D, 282 (1993).
26. C. Chandre and H. R. Jauslin, J. Math. Phys. (N.Y.), 39, 5856 (1998).