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nlin.CD2020★ 3 cited
On the detuned 2:4 resonance
Heinz Hanssmann, Antonella Marchesiello, Giuseppe Pucacco
We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1:2 resonance. Under detuning, this "Fermi resonance" typically leads to normal modes l…
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…