Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains

被引:45
作者
Chechin, GM [1 ]
Ryabov, DS [1 ]
Zhukov, KG [1 ]
机构
[1] Rostov State Univ, Dept Phys, Rostov Na Donu 344090, Russia
关键词
nonlinear dynamics; discrete symmetry; anharmonic lattices; normal mode interactions;
D O I
10.1016/j.physd.2005.03.009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Bushes of normal modes represent the exact excitations in the nonlinear physical systems with discrete symmetries [Physica D 117 (1998) 43]. The present paper is the continuation of our previous paper [Physica D 166 (2002) 208], where these dynamical objects of new type were discussed for the monoatomic nonlinear chains. Here, we develop a simple crystallographic method for finding bushes in nonlinear chains and investigate stability of one- and two-dimensional vibrational bushes for both FPU-alpha and FPU-beta models, in particular, of those revealed recently in [Physica D 175 (2003) 31] (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:121 / 166
页数:46
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