Different kinds of discrete breathers in a Sine–Gordon lattice

doi:10.1007/s11467-010-0019-5

Front Phys Chin

2010, Vol. 5

Issue (2) : 199-204 https://doi.org/10.1007/s11467-010-0019-5

RESEARCH ARTICLE

Different kinds of discrete breathers in a Sine–Gordon lattice

Bin-bin Lü(吕彬彬,

), Yan-ping DENG(邓艳萍), Qiang TIAN (田强)

Department of Physics, Beijing Normal University, Beijing 100875, China

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Abstract

We study a one-dimensional Sine–Gordon lattice of anharmonic oscillators with cubic and 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 one-dimensional Sine–Gordon lattice no matter whether the nonlinear interaction is cubic or quartic. 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.

Keywords discrete breathers quasiperiodic discrete breathers chaotic discrete breathers Sine–Gordon lattice

Corresponding Author(s): null,Email:lbbsuccess@126.com

Issue Date: 05 June 2010

Cite this article:

Bin-bin Lü(吕彬彬),Yan-ping DENG(邓艳萍),Qiang TIAN (田强). Different kinds of discrete breathers in a Sine–Gordon lattice[J]. Front Phys Chin, 2010, 5(2): 199-204.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-010-0019-5
https://academic.hep.com.cn/fop/EN/Y2010/V5/I2/199

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[1]	Bin-bin LÜ(吕彬彬), Qiang TIAN(田强), . Discrete breathers in a two-dimensional Morse lattice with an on-site harmonic potential[J]. Front. Phys. , 2009, 4(4): 497-504.

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