Feigenbaum cascade of discrete breathers in a model of DNA

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 1, 2011, Pages

  Maniadis, P ^a   Alexandrov, B S ^a   Bishop, A R ^a   Rasmussen, K O ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-STABILITY; DISCRETE BREATHER; MORSE OSCILLATOR; PEYRARD-BISHOP-DAUXOIS MODEL; SUBHARMONIC SOLUTIONS; SUBHARMONICS;

GENE EXPRESSION;

DNA;

EID: 78751493258     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.011904     Document Type: Article

References (21)

1. S. Flach and A. V. Gorbach, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.05.002 467, 1 (2008).
2. S. Aubry, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00261-8 103, 201 (1997).
3. D. Chen, S. Aubry, and G. P. Tsironis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4776 77, 4776 (1996).
4. M. Johansson and S. Aubry, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/5/008 10, 1151 (1997).
5. M. Johansson and S. Aubry, Phys. Rev. E NONLE5 1539-3755 10.1103/PhysRevE.61.5864 61, 5864 (2000).
6. P. Maniadis and S. Flach, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10550-y 74, 452 (2006).
7. B. S. Alexandrov, V. Gelev, S. W. Yoo, L. B. Alexandrov, Y. Fukuyo, A. R. Bishop, K. Ø. Rasmussen, and A. Usheva, Nucleic Acids Res. NARHAD 0305-1048 10.1093/nar/gkp1084 38, 1790 (2010).
8. M. Peyrard and A. R. Bishop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.2755 62, 2755 (1989).
9. T. Dauxois, M. Peyrard, and A. R. Bishop, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.47.R44 47, R44 (1993).
10. B. S. Alexandrov, N. K. Voulgarakis, K. Ø. Rasmussen, A. Usheva, and A. R. Bishop, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/3/034107 21, 034107 (2009), and references therein.
11. C. H. Choi, G. Kalosakas, K. O. Rasmussen, M. Hiromura, A. R. Bishop, and A. Usheva, Nucleic Acids Res. NARHAD 0305-1048 10.1093/nar/gkh335 32, 1584 (2004).
12. C. H. Chu, Z. Rapti, V. Gelev, B. S. Alexandrov, E. Park, J. Park, N. Horikoshi, A. Smerzi, K. O. Rasmussen, A. R. Bishop, and A. Usheva, Biophys. J. BIOJAU 0006-3495 10.1529/biophysj.107.123471 95, 597 (2008).
13. B. S. Alexandrov, V. Gelev, Y. Monisova Y, L. B. Alexandrov, A. R. Bishop, K. Ø. Rasmussen, and A. Usheva, Nucleic Acids Res. NARHAD 0305-1048 10.1093/nar/gkp016 37, 2405 (2009).
14. B. S. Alexandrov, V. Gelev, S. W. Yoo, A. R. Bishop, K. Ø. Rasmussen, and A. Usheva, PLoS Comput. Biol. NARHAD 1553-734X 10.1371/journal.pcbi.1000313 5, e 1000313 (2009).
15. B. S. Alexandrov, V. Gelev, A. R. Bishop, A. Usheva, and K. Ø. Rasmussen, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2009.12.077 374, 1214 (2010).
16. R. Shiurba, Photoch. Photobio. Sci. PYLAAG 1474-905X 10.1039/b601741j 5, 799 (2006).
17. J. Bock, Y. Fukuyo, S. Kang, M. E. Phipps, L. B. Alexandrov, K. Ø. Rasmussen, A. R. Bishop, E. D. Rosen, J. S. Martinez, H.-T. Chen, G. Rodriguez, B. S. Alexandrov, and A. Usheva, PLoS ONE 1932-6203 10.1371/journal.pone. 0015806 5, e15806 (2010).
18. R. S. MacKay and S. Aubry, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/7/6/006 7, 1623 (1994).
19. 0 / 2 π = 1. 22 THz.
20. G. Kopidakis and S. Aubry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3236 84, 3236 (2000).
21. J. L. Marin and S. Aubry, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/9/6/007 9, 1501 (1994).