2 papers
math.DS2024
Small-amplitude periodic traveling waves in dimer Fermi-Pasta-Ulam-Tsingou lattices
Timothy E. Faver, Hermen Jan Hupkes, J. Douglas Wright
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 inf…
math.AP2022
Mass and spring dimer Fermi-Pasta-Ulam-Tsingou nanopterons with exponentially small, nonvanishing ripples
Timothy E. Faver, Hermen Jan Hupkes
We study traveling waves in mass and spring dimer Fermi-Pasta-Ulam-Tsingou (FPUT) lattices in the long wave limit. Such lattices are known to possess nanopteron traveling waves in…