1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2025
On bandgap sensitivity to three-to-one internal resonances between acoustic and optical waves in metamaterials
Laura Di Gregorio, Walter Lacarbonara
We investigate the nonlinear equations governing wave propagation across a metamaterial consisting of a cellular periodic structure hosting resonators with linear and cubic springs…
math.DS2024★ 1 cited
Three-to-one internal resonances in coupled harmonic oscillators with cubic nonlinearity
Laura Di Gregorio, Walter Lacarbonara
We investigate a general system of two coupled harmonic oscillators with cubic nonlinearity. Without damping, the system is Hamiltonian, with the origin as an elliptic equilibrium…
math.AP2023
A quantitative Birkhoff Normal Form for the hinged-hinged beam equation with geometric nonlinearity
Laura Di Gregorio, Walter Lacarbonara
We consider an undamped nonlinear hinged-hinged beam with stretching nonlinearity as an infinite dimensional hamiltonian system. We obtain analytically a quantitative Birkhoff Norm…