论文标题
探索质量较大的FPU链的交替探索
Explorations for alternating FPU-chains with large mass
论文作者
论文摘要
我们在周期性$α$ -FPU链中显示了高频和低频模式与交替质量的相互作用。该处理讨论了粒子数量$ n = 2p $涉及$ p $ prime的困难情况。通过识别对称不变的流形，从而大大降低了问题的维度，以及一个集中在这些系统上的Mathematica程序来扮演关键角色。我们可以显示出多达100个粒子的系统的明确交互，此外，在任意大型链中相互作用的强烈论证。
We show interaction between high- and low-frequency modes in periodic $α$-FPU chains with alternating large masses. The treatment discusses the difficult case where the number of particles $N=2p$ involves $p$ prime. A key role is played by identifying symmetric invariant manifolds, thus reducing the dimension of the problems drastically, and a Mathematica programme focused on these systems. We could show explicitly interaction for systems up to 100 particles with in addition strong arguments for interactions in arbitrary large chains.
