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math.DS2015
Domains of analyticity of Lindstedt expansions of KAM tori in dissipative perturbations of Hamiltonian systems
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
Many problems in Physics are described by dynamical systems that are conformally symplectic (e.g., mechanical systems with a friction proportional to the velocity, variational prob…
math.AP2015
Response solutions for quasi-periodically forced, dissipative wave equations
Renato C. Calleja, Alessandra Celletti, Livia Corsi +1
We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturbation, since the damping is not…