Peyrard-Bishop DNA模型中分立呼吸子的存在与稳定性分析
The Existence and Stability of Discrete Breathers in Peyrard-Bishop DNA Model

作者: 吕彬彬 :北京有色金属研究总院稀土材料国家工程研究中心,有研稀土新材料股份有限公司; 叶纬明 :北京师范大学管理学院复杂网络研究中心,系统科学系; 田 强 :北京师范大学物理系;

关键词: Peyrard-Bishop DNA模型分立呼吸子非线性作用Peyrard-Bishop DNA Model Discrete Breathers Nonlinear Effect


本文通过局域非简谐近似、旋转波近似和数值方法证明了Peyrard-Bishop DNA模型中存在分立呼吸子,通过弗洛开单位圆的稳定性分析方法讨论了模型中存在的分立呼吸子的稳定性问题,得到分立呼吸子的稳定性、局域性及振幅均与模型中非线性作用的大小有关。

Abstract: The existence of discrete breathers in Peyrard-Bishop DNA model is proved by using rotating wave ap- proximation, local anharmonic approximation and numerical calculation. At the same time, the linear stability of discrete breathers is investigated in this model by using Floquet analysis. The stability, localization and amplitude of dis- crete breathers in Peyrard-Bishop DNA model correlate closely to system nonlinear effect.

文章引用: 吕彬彬 , 叶纬明 , 田 强 (2012) Peyrard-Bishop DNA模型中分立呼吸子的存在与稳定性分析。 应用物理, 2, 102-107. doi: 10.12677/APP.2012.23018


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