44 citations · 77 across the 9 of their papers we have counts for
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Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs
Filippo Giuliani, Marcel Guardia, Pau Martin +1
The aim of this note is to present the recent results in [16] where we provide the existence of solutions of some nonlinear resonant PDEs on the 2-dimensional torus exchanging ener…
Chaotic-like transfers of energy in Hamiltonian PDEs
Filippo Giuliani, Marcel Guardia, Pau Martin +1
We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on and we prove the existence of different types of solutions which exchange energy b…
Ageing of an oscillator due to frequency switching
Carles Bonet, Mike R. Jeffreyy, Pau Martin +1
If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional osc…