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math.DS2024
Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach
Livia Corsi, Guido Gentile, Michela Procesi
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each other. We consider explicitly interact…
math.AP2024
Reducibility of Klein-Gordon equations with maximal order perturbations
Massimiliano Berti, Roberto Feola, Michela Procesi +1
We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation where $ Q(ωt) := a^{(2)}(ωt, x) \partial_{xx} + a^…