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math.AP2019
Small mass nanopteron traveling waves in mass-in-mass lattices with cubic FPUT potential
Timothy E. Faver
The mass-in-mass (MiM) lattice consists of an infinite chain of identical beads that are both nonlinearly coupled to their nearest neighbors and linearly coupled to a distinct reso…
math.AP2019★ 14 cited
Micropteron traveling waves in diatomic Fermi-Pasta-Ulam-Tsingou lattices under the equal mass limit
Timothy E. Faver, Hermen Jan Hupkes
The diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice is an infinite chain of alternating particles connected by identical nonlinear springs. We prove the existence of micropteron t…