Periodic, Quasiperiodic and Chaotic q-Breathers in a Fermi-Pasta-Ulam Lattice
1 Department of Physics, Daqing Normal University, Daqing 163712 2 Department of Physics, Beijing Normal University, Beijing 100875
Received Date:
October 20, 2009
Published Date:
January 31, 2010
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.
Article Text
References
[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
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About This Article
Cite this article:
XU Quan, TIAN Qiang. Periodic, Quasiperiodic and Chaotic q-Breathers in a Fermi-Pasta-Ulam Lattice[J].
Chin. Phys. Lett. , 2010, 27(2): 020505.
DOI: 10.1088/0256-307X/27/2/020505
XU Quan, TIAN Qiang. Periodic, Quasiperiodic and Chaotic q-Breathers in a Fermi-Pasta-Ulam Lattice[J]. Chin. Phys. Lett. , 2010, 27(2): 020505. DOI: 10.1088/0256-307X/27/2/020505
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