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Small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou lattices

Small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou lattices

We prove the existence of small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou (FPUT) lattices without assumptions of physical symmetry. Such lattices are infinite, one-dimensional chains of coupled particles in which the particle masses and/or the potentials of the coupling springs can alternate. Previously, periodic traveling waves were constructed in a …