21 citations · 30 across the 8 of their papers we have counts for
8 papers
Recursive behavior in a diatomic FPUT lattice
Guo Deng, Andrea Pezzi, Genghong Lin +1
We study the diatomic FPUT lattice with cubic anharmonic potential, and analyze the recurrent behaviour of its solutions. We find that two distinct types of recurrence occur. One t…
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation
Guo Deng, Christopher J. Lustri
Travelling waves in woodpile chains are typically nanoptera, which are composed of a central solitary wave and exponentially small oscillations. These oscillations have been studie…
Nanoptera in nonlinear woodpile chains with zero precompression
Guo Deng, Christopher J. Lustri
We use exponential asymptotics to study travelling waves in woodpile systems modelled as singularly perturbed granular chains with zero precompression and small mass ratio. These s…
Three-wave resonant interactions in the diatomic chain with cubic anharmonic potential: theory and simulations
A. Pezzi, G. Deng, Y. Lvov +2
We consider a diatomic chain characterized by a cubic anharmonic potential. After diagonalizing the harmonic case, we study in the new canonical variables, the nonlinear interactio…
Nanoptera in weakly nonlinear woodpile and diatomic granular chains
Guo Deng, Christopher J. Lustri, Mason A. Porter
We study ``nanoptera'', which are non-localized solitary waves with exponentially small but non-decaying oscillations, in two singularly-perturbed Hertzian chains with precompressi…
On the generation and propagation of solitary waves in integrable and non-integrable nonlinear lattices
Guo Deng, Gino Biondini, Surajit Sen +1
We investigate the generation and propagation of solitary waves in the context of the Hertz chain and Toda lattice, with the aim to highlight the similarities, as well as differenc…