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

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

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作  者:徐权 田强 

机构地区:[1]Department of Physics, Daqing Normal University [2]Department of Physics,Beijing Normal University

出  处:《Chinese Physics B》2009年第6期2469-2474,共6页中国物理B(英文版)

基  金:Project supported by the National Natural Science Foundation of China (Grant No 10574011);Natural Science Foundation of Heilongjiang Province,China (Grant No A200506)

摘  要:We study a two-dimensional (2D) diatomic lattice of anhaxmonic 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.We study a two-dimensional (2D) diatomic lattice of anhaxmonic 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 

分 类 号:O415.5[理学—理论物理]

 

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