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Periodic, Quasiperiodic and Chaotic Discrete Breathers in a Parametrical Driven Two-Dimensional Discrete Klein-Gordon Lattice |
| XU Quan1,2, TIAN Qiang2 |
| 1Department of Physics, Daqing Normal University, Daqing 1637122Department of Physics, Beijing Normal University, Beijing 100875 |
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| Cite this article: |
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XU Quan, TIAN Qiang 2009 Chin. Phys. Lett. 26 040501 |
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Abstract We study a two-dimensional lattice of anharmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. DBs can stably exist in the two-dimensional Klein-Gordon lattice with hard on-site potential. When a parametric driving term is introduced in the factor multiplying the harmonic part of the on-site potential of the system, we can obtain the stable quasiperiodic discrete breathers and chaotic discrete breathers by changing the amplitude of the driver.
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| Keywords:
05.45.Pq
05.45.Xt
02.30.Jr
63.20.Pw
63.20.Ry
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Received: 18 December 2008
Published: 25 March 2009
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| PACS: |
05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.Xt
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(Synchronization; coupled oscillators)
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02.30.Jr
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(Partial differential equations)
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63.20.Pw
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(Localized modes)
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63.20.Ry
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(Anharmonic lattice modes)
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