标题:
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, 叶纬明, 田强
关键字:
Peyrard-Bishop DNA模型, 分立呼吸子, 非线性作用Peyrard-Bishop DNA Model; Discrete Breathers; Nonlinear Effect
期刊名称:
《Applied Physics》, Vol.2 No.3, 2012-07-18
摘要:
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。
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.