Stability of nonlinear normal modes in the Fermi-Pasta-Ulam β chain in the thermodynamic limit
Stability of nonlinear normal modes in the Fermi-Pasta-Ulam β chain in the thermodynamic limit
复制标题
DOI：
10.1103/physreve.85.056601
复制
发表时间：
2012-05-01
影响因子：
2.4
通讯作者：
Ryabov, D. S.
中科院分区：
文献类型：
--
作者：
Chechin, G. M.;Ryabov, D. S.
所有可能的对称性决定的非线性简正模(也称为简单周期轨道、单模解等)在硬的和软的两种情况下，讨论了Fermi-Pasta-Ulamβ链。给出了研究它们在热力学极限下稳定性的一般方法及其在上述各种非线性简正模中的应用。
All possible symmetry-determined nonlinear normal modes (also called simple periodic orbits, one-mode solutions, etc.) in both hard and soft Fermi-Pasta-Ulam beta chains are discussed. A general method for studying their stability in the thermodynamic limit as well as its application for each of the above nonlinear normal modes are presented.