Universality of algebraic decays in hamiltonian systems

Physical Review Letters

Volumn 100, Issue 18, 2008, Pages

  Cristadoro, G ^a,b   Ketzmerick, R ^c,d  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b UNIVERSITY OF INSUBRIA   (Italy)

^c DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ASYMPTOTIC ANALYSIS; CORRELATION METHODS; PHASE SPACE METHODS; PROBABILITY DISTRIBUTIONS;

ALGEBRAIC DECAYS; HAMILTONIAN SYSTEMS; POINCARE RECURRENCES;

HAMILTONIANS;

EID: 43249102104     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.184101     Document Type: Article

References (20)

1. B.V. Chirikov and D.L. Shepelyansky, in Proceedings of the IXth International Conference on Nonlinear Oscillations, Kiev, 1981; [Naukova Dumka 2, 420 (1984)]; (English translation: Princeton University Report No. PPPL-TRANS-133, 1983).
2. C.F.F. Karney, Physica (Amsterdam) 8D, 360 (1983). PDNPDT 0167-2789 10.1016/0167-2789(83)90232-4
3. B.V. Chirikov and D.L. Shepelyansky, Physica (Amsterdam) 13D, 395 (1984). PDNPDT 0167-2789 10.1016/0167-2789(84)90140-4
4. R.S. MacKay, J.D. Meiss, and I.C. Percival, Phys. Rev. Lett. PRLTAO 0031-9007 52, 697 (1984). 10.1103/PhysRevLett.52.697
5. P. Grassberger and H. Kantz, Phys. Lett. A 113, 167 (1985). PYLAAG 0375-9601 10.1016/0375-9601(85)90131-8
6. J.D. Hanson, J.R. Cary, and J.D. Meiss, J. Stat. Phys. 39, 327 (1985). JSTPSB 0022-4715 10.1007/BF01018666
7. J.D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985); PRLTAO 0031-9007 10.1103/PhysRevLett.55.2741
8. J.D. Meiss E. Ott Physica (Amsterdam) 20D, 387 (1986). PDNPDT 0167-2789 10.1016/0167-2789(86)90041-2
9. G.M. Zaslavsky, M. Edelman, and Niyazov, Chaos 7, 159 (1997). CHAOEH 1054-1500 10.1063/1.166252
10. B.V. Chirikov, and D.L. Shepelyansky, Phys. Rev. Lett. 82, 528 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.528
11. M. Weiss, L. Hufnagel, and R. Ketzmerick, Phys. Rev. E 67, 046209 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.046209
12. J.M. Green, R.S. MacKay, and J. Stark, Physica (Amsterdam) 21D, 267 (1986). PDNPDT 0167-2789 10.1016/0167-2789(86)90005-9
13. For an exact self-similar tree (delta distributions for As and Bs) this is equivalent to an expansion in terms of Pollicott-Ruelle resonances. For an example in one dimension, see F. Barra and T. Gilbert, J. Stat. Phys. 109, 777 (2002). JSTPSB 0022-4715 10.1023/A:1020427018179
14. M.J. Kearney, V.M. Dwyer, and P.C. Bressloff, J. Phys. A JPHAC5 0305-4470 30, L409 (1997). 10.1088/0305-4470/30/12/003
15. J.D. Meiss, Rev. Mod. Phys. 64, 795 (1992). RMPHAT 0034-6861 10.1103/RevModPhys.64.795
16. R.S. MacKay, Physica (Amsterdam) 7D, 283 (1983). PDNPDT 0167-2789 10.1016/0167-2789(83)90131-8
17. J.D. Meiss, Phys. Rev. A 34, 2375 (1986). PLRAAN 1050-2947 10.1103/PhysRevA.34.2375
18. F. Christiansen and P. Grassberger, Phys. Lett. A 181, 47 (1993). PYLAAG 0375-9601 10.1016/0375-9601(93)91123-M
19. J.D. Meiss, Chaos 7, 139 (1997). CHAOEH 1054-1500 10.1063/1.166245
20. E.G. Altmann, Ph.D. thesis, Univ. Wuppertal, 2007.