FM 2009-1 (mp_arc 09-11; arXiv math.DS/0901.3009 [math.DS])

Author: Guido Gentile

Title: Quasi-periodic motions in strongly dissipative forced systems
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.

Keywords: Dissipative systems; Periodically forced systems; Quasi-periodically forced systems; Lindstedt series; Renormalization group; Divergent series; Bryuno vectors.

Guido Gentile
Dipartimento di Matematica
UniversitÓ di Roma Tre
Largo San Leonardo Murialdo 1, 00146 Roma, Italy