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Quasi-periodic motions in strongly dissipative forced systems

Published online by Cambridge University Press:  03 August 2009

GUIDO GENTILE
GUIDO GENTILE*
Affiliation:
Dipartimento di Matematica, Università di Roma Tre, Roma, I-00146, Italy (email: gentile@mat.uniroma3.it)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 5 , October 2010 , pp. 1457 - 1469
Copyright
Copyright © Cambridge University Press 2009

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