中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2469-2474.doi: 10.1088/1674-1056/18/6/058

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Periodic, quasiperiodic and chaotic discrete breathers in a parametrical driven two-dimensional discrete diatomic Klein--Gordon lattice

田强1, 徐权2   

  1. (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Daqing Normal University, Daqing 163712, China;Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2008-10-29 修回日期:2009-01-05 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574011) and Natural Science Foundation of Heilongjiang Province, China (Grant No A200506).

Periodic, quasiperiodic and chaotic discrete breathers in a parametrical driven two-dimensional discrete diatomic Klein--Gordon lattice

Xu Quan(徐权)a)b) and Tian Qiang(田强)b)†   

  1. a Department of Physics, Daqing Normal University, Daqing 163712, China; b Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2008-10-29 Revised:2009-01-05 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574011) and Natural Science Foundation of Heilongjiang Province, China (Grant No A200506).

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摘要： We study a two-dimensional (2D) diatomic lattice of anharmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers (DBs) can be explicitly constructed by an exact separation of their time and space dependence. DBs can stably exist in the 2D discrete diatomic Klein--Gordon lattice with hard and soft on-site potentials. 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 (QDBs) and chaotic discrete breathers (CDBs) by changing the amplitude of the driver. But the DBs and QDBs with symmetric and anti-symmetric profiles that are centered at a heavy atom are more stable than at a light atom, because the frequencies of the DBs and QDBs centered at a heavy atom are lower than those centered at a light atom.

关键词: discrete breather, quasi-periodic discrete breather, chaotic discrete breather, two-dimensional discrete diatomic Klein--Gordon lattice

Abstract: We study a two-dimensional (2D) diatomic lattice of anharmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers (DBs) can be explicitly constructed by an exact separation of their time and space dependence. DBs can stably exist in the 2D discrete diatomic Klein--Gordon lattice with hard and soft on-site potentials. 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 (QDBs) and chaotic discrete breathers (CDBs) by changing the amplitude of the driver. But the DBs and QDBs with symmetric and anti-symmetric profiles that are centered at a heavy atom are more stable than at a light atom, because the frequencies of the DBs and QDBs centered at a heavy atom are lower than those centered at a light atom.

Key words: discrete breather, quasi-periodic discrete breather, chaotic discrete breather, two-dimensional discrete diatomic Klein--Gordon lattice

中图分类号:  (Anharmonic lattice modes)

  • 63.20.Ry
05.45.Pq (Numerical simulations of chaotic systems) 63.20.Pw (Localized modes)