摘要We study the features of a single q-breather (SQB) in a Fermi-Pasta-Ulam lattice by the numerical method, and obtain that the stability of SQB correlates to coupling constant K and nonlinear parameter β. No matter whether K or β increases, the periodic SQB can be transformed into a quasiperiodic SQB or a chaotic SQB. We also obtain the conditions of excitation of periodic, quasiperiodic and chaotic SQBs.
Abstract:We study the features of a single q-breather (SQB) in a Fermi-Pasta-Ulam lattice by the numerical method, and obtain that the stability of SQB correlates to coupling constant K and nonlinear parameter β. No matter whether K or β increases, the periodic SQB can be transformed into a quasiperiodic SQB or a chaotic SQB. We also obtain the conditions of excitation of periodic, quasiperiodic and chaotic SQBs.
[1] Fermi E, Pasta J and Ulam S 1955 Los Alamos Report La-1940 [2] Mackay R S and Aubry S 1994 Nonlinearity 7 1623 [3] Takeno S, Kisoda K and Sievers A J 1988 Prog. Theor. Phys. Suppl. 94 242 [4] Bickham S R, Kiselev S A and Sievers A J 1993 Phys. Rev. B 47 14206 [5] Cretegry T, Livi R and Spicci M 1998 Physica D 119 88 [6] James G and Noble P 2004 Physica D 196 124 [7] Hornguist M, Lennholm E and Basu C 2000 Physica D 136 88 [8] Maniadis P, Zolotaryuk A V and Tsironis G P 2003 Phys. Rev. E. 67 046612 [9] James G and Kastner M 2007 Nonlinearity 20 631 [10] Ullmann K, Lichtenberg A J and Corso G 2000 Phys. Rev. E. 61 2471 [11] Gershgorin B, Lvov Y V and Cai D 2005 Phys. Rev. Lett. 95 264302