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arXiv · 2011.04290

Explorations for alternating FPU-chains with large mass

Wilberd van der Kallen·Ferdinand Verhulst
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Abstract

We show interaction between high- and low-frequency modes in periodic $\alpha$-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.

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Wilberd van der Kallen, Ferdinand Verhulst. 2020-11-09. Explorations for alternating FPU-chains with large mass. https://doi.org/10.1016/j.ijnonlinmec.2021.103809

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