We consider a class of ordinary differential equations describing one-dimensional systems with a quasi-periodic forcing term and in the presence of large damping. We discuss the conditions to be assumed on the mechanical force and the forcing term for the existence of quasi-periodic solutions which have the same frequency vector as the forcing.
Gentile, G. (2010). Quasi-periodic motions in strongly dissipative forced systems. ERGODIC THEORY & DYNAMICAL SYSTEMS, 30(5), 1457-1469 [10.1017/S0143385709000583].
Quasi-periodic motions in strongly dissipative forced systems
GENTILE, Guido
2010-01-01
Abstract
We consider a class of ordinary differential equations describing one-dimensional systems with a quasi-periodic forcing term and in the presence of large damping. We discuss the conditions to be assumed on the mechanical force and the forcing term for the existence of quasi-periodic solutions which have the same frequency vector as the forcing.File in questo prodotto:
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