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Periodic, quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice |
Xu Quan (徐权)a b, Tian Qiang (田强)b |
a Department of Physics, Daqing Normal University, Daqing 163712, China;
b Department of Physics, Beijing Normal University, Beijing 100875, China |
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Abstract Using numerical method, we investigate whether periodic, quasiperiodic, and chaotic breathers are supported by the two-dimensional discrete Fermi-Pasta-Ulam (FPU) lattice with linear dispersion term. The spatial profile and time evolution of the two-dimensional discrete β-FPU lattice are segregated by the method of separation of variables, and the numerical simulations suggest that the discrete breathers (DBs) are supported by the system. By introducing a periodic interaction into the linear interaction between the atoms, we achieve the coupling of two incommensurate frequencies for a single DB, and the numerical simulations suggest that the quasiperiodic and chaotic breathers are supported by the system, too.
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Received: 20 December 2012
Revised: 29 January 2013
Accepted manuscript online:
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PACS:
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63.20.Ry
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(Anharmonic lattice modes)
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63.20.Pw
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(Localized modes)
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05.50.+q
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(Lattice theory and statistics)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11247255) and the Natural Science Foundation of Heilongjiang Province, China (Grant No. A200506). |
Corresponding Authors:
Xu Quan
E-mail: quanx2008@yeah.net
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Cite this article:
Xu Quan (徐权), Tian Qiang (田强) Periodic, quasiperiodic, and chaotic breathers in two-dimensional discrete β-Fermi-Pasta-Ulam lattice 2013 Chin. Phys. B 22 086302
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