Compactons and chaos in strongly nonlinear lattices

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

Volumn 79, Issue 2, 2009, Pages

  Ahnert, Karsten ^a   Pikovsky, Arkady ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC STATE; COMPACTONS; DYNAMICAL PROPERTIES; FINITE LATTICES; LOCALIZED PERTURBATIONS; NON LINEARITIES; ONE-DIMENSIONAL; SOLITARY WAVES; STRONGLY NONLINEAR; TIME-SCALE; TRAVELING WAVES;

EID: 61949204272     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.026209     Document Type: Article

References (33)

1. A focus issue on "The "Fermi-Pasta-Ulam" problem-the first 50 years, " edited by, D. K. Campbell, P. Rosenau, and, G. Zaslavsky, Chaos 15 (1), 015101 (2005). 10.1063/1.1889345
2. S. Flach and C. R. Willis, Phys. Rep. 295, 181 (1998). 10.1016/S0370-1573(97)00068-9
3. V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 24, 733 (1983). 10.1007/BF00905892
4. C. Coste, E. Falcon, and S. Fauve, Phys. Rev. E 56, 6104 (1997). 10.1103/PhysRevE.56.6104
5. A. Chatterjee, Phys. Rev. E 59, 5912 (1999). 10.1103/PhysRevE.59.5912
6. M. A. Porter, C. Daraio, E. B. Herbold, I. Szelengowicz, and P. G. Kevrekidis, Phys. Rev. E 77, 015601 (R) (2008). 10.1103/PhysRevE.77.015601
7. A. N. Lazaridi and V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 26, 405 (1985). 10.1007/BF00910379
8. S. L. Gavrilyuk and V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 34, 784 (1994). 10.1007/BF00852079
9. V. Nesterenko, Dynamics of Heterogeneous Materials (Springer, New York, 2001).
10. P. Rosenau and J. M. Hyman, Phys. Rev. Lett. 70, 564 (1993). 10.1103/PhysRevLett.70.564
11. P. Rosenau, Phys. Rev. Lett. 73, 1737 (1994). 10.1103/PhysRevLett.73.1737
12. R. S. Sinkovits and S. Sen, Phys. Rev. Lett. 74, 2686 (1995). 10.1103/PhysRevLett.74.2686
13. S. Sen and R. S. Sinkovits, Phys. Rev. E 54, 6857 (1996). 10.1103/PhysRevE.54.6857
14. S. Sen, M. Manciu, and J. D. Wright, Phys. Rev. E 57, 2386 (1998). 10.1103/PhysRevE.57.2386
15. M. Manciu, V. N. Tehan, and S. Sen, Chaos 10, 658 (2000). 10.1063/1.1285967
16. M. Manciu, S. Sen, and A. J. Hurd, Phys. Rev. E 63, 016614 (2000). 10.1103/PhysRevE.63.016614
17. S. Sen and M. Manciu, Phys. Rev. E 64, 056605 (2001). 10.1103/PhysRevE.64.056605
18. E. Hascoët and E. J. Hinch, Phys. Rev. E 66, 011307 (2002). 10.1103/PhysRevE.66.011307
19. A. Rosas and K. Lindenberg, Phys. Rev. E 68, 041304 (2003). 10.1103/PhysRevE.68.041304
20. A. Rosas and K. Lindenberg, Phys. Rev. E 69, 037601 (2004). 10.1103/PhysRevE.69.037601
21. S. Job, F. Melo, A. Sokolow, and S. Sen, Phys. Rev. Lett. 94, 178002 (2005). 10.1103/PhysRevLett.94.178002
22. S. Sen, J. Hong, J. Bang, E. Avalos, and R. Doney, Phys. Rep. 462, 21 (2008). 10.1016/j.physrep.2007.10.007
23. G. Friesecke and J. Wattis, Commun. Math. Phys. 161, 391 (1994). 10.1007/BF02099784
24. R. S. MacKay, Phys. Lett. A 251, 191 (1999). 10.1016/S0375-9601(98)00867- 6
25. P. Rosenau, Phys. Lett. A 311, 39 (2003). 10.1016/S0375-9601(03)00455-9
26. V. F. Nesterenko, J. Phys. IV 4, C8-729 (1994). 10.1051/jp4:19948112
27. D. Treschev, Discrete Contin. Dyn. Syst. 11, 867 (2004). 10.3934/dcds.2004.11.867
28. V. I. Petviashvili, Sov. J. Plasma Phys. 2, 257 (1976).
29. V. I. Petviashvili, Physica D 3, 329 (1981). 10.1016/0167-2789(81)90136-6
30. Handbook of Mathematical Functions, Natl. Bur. Stand. Appl. Math. Ser. No. 55, edited by, M. Abramowitz, and, I. A. Stegun, (U.S. GPO, Washington, D.C., 1965).
31. K. Ahnert and M. Abel, Comput. Phys. Commun. 177, 764 (2007). 10.1016/j.cpc.2007.03.009
32. S. Sen, K. Mohan, and J. Pfannes, Physica A 342, 336 (2004). 10.1016/j.physa.2004.04.092
33. S. Lepri, R. Livi, and A. Politi, Phys. Rep. 377, 1 (2003). 10.1016/S0370-1573(02)00558-6