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

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: 一维模型 离散型 呼吸 Lyapunov稳定 类型 旋转波近似 线性稳定性 非线性参数
• 年，卷（期）: 2010,（10）
• 页码范围: 728-734
• 页数: 7页
• 分类号: O211.5 TQ211.211
• 语种: 英文

摘要

The dynamics of different kinds of discrete breathers in three types of one-dimensional monatomic chainswith on-site and inter-site potentials are investigated.The existence and evolution of symmetric breather, antisymmetricbreather, and multibreather in one-dimensional models are proved by using rotating wave approximation, localanharmonic approximation, and the numerical method.The linear stability of these breathers is investigated by usingLyapunov stable analysis.The localization and stability of breathers in three types of models correlate closely to thesystem nonlinear parameter β.