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arxiv: 0901.3009 · v1 · pith:7TP5PVN6new · submitted 2009-01-20 · 🧮 math.DS · math.CA

Quasi-periodic motions in strongly dissipative forced systems

classification 🧮 math.DS math.CA
keywords forcingquasi-periodicsystemstermassumedclassconditionsconsider
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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.

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