Different Kinds of Discrete Breathers in Three Types of One-Dimensional Models

The dynamics of different kinds of discrete breathers in three types of one-dimensionai monatomic chains with on-site and inter-site potentiais are investigated. The existence and evolution of symmetric breather, antisymmetric breather, and multibreather in one-dimensionai models are proved by using...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 54; no. 10; pp. 728 - 734
Main Author 吕彬彬 田强
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2010
Subjects
Lyapunov稳定
一维模型
旋转波近似
离散型
线性稳定性
非线性参数
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ISSN0253-6102
DOI10.1088/0253-6102/54/4/27

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Summary:The dynamics of different kinds of discrete breathers in three types of one-dimensionai monatomic chains with on-site and inter-site potentiais are investigated. The existence and evolution of symmetric breather, antisymmetric breather, and multibreather in one-dimensionai models are proved by using rotating wave approximation, local anharmonic approximation, and the numerical method. The linear stability of these breathers is investigated by using Lyapunov stable anaiysis. The localization and stability of breathers in three types of models correlate closely to the system nonlinear parameter β.
Bibliography:symmetric breather, antisymmetric breather, multibreather, linear stability
TQ211.211
O211.5
11-2592/O3
ISSN:0253-6102
DOI:10.1088/0253-6102/54/4/27