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nlin.CD2020★ 1 cited
Optical-acoustical interaction in FPU-chains with alternating large masses (plus appendix)
Roelof Bruggeman, Ferdinand Verhulst
One of the problems of periodic FPU-chains with alternating masses is whether significant interactions exist between the so-called (high frequency) optical and (low frequency) acou…
nlin.CD2020
Variations on the Fermi-Pasta-Ulam chain, a survey
Ferdinand Verhulst
We will present a survey of low energy periodic Fermi-Pasta-Ulam chains with leading idea the "breaking of symmetry". The classical periodic FPU-chain (equal masses for all particl…
nlin.CD2020
The 1:2:4 resonance in a particle chain
Heinz Hanßmann, Reza Mazrooei-Sebdani, Ferdinand Verhulst
We consider four masses in a circular configuration with nearest-neighbour interaction, generalizing the spatially periodic Fermi--Pasta--Ulam-chain where all masses are equal. We…