Small mass nanopteron traveling waves in mass-in-mass lattices with cubic FPUT potential

DOI10.1007/s10884-020-09865-0OpenAlexW3039050159MaRDI QIDQ2665521

Timothy E. Faver

Publication date: 19 November 2021

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12313

zbMATH Keywords

solitary waveFPUgranular chainnanopteronFPUTgranular metamaterialmass-in-mass latticemass-with-mass lattice

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33)

Related Items (3)

Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples ⋮ A simple model of radiating solitary waves ⋮ Discrete breathers and discrete oscillating kink solution in the mass-in-mass chain in the state of acoustic vacuum

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