Quasi-periodic stability of normally resonant tori

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dc.creatorBroer, Henk W.
dc.creatorCiocci, M. Cristina
dc.creatorHanßmann, Heinz
dc.creatorVanderbauwhede, André
dc.date2007-08-16
dc.date2008-12-05
dc.date.accessioned2026-07-07T12:09:12Z
dc.date.available2026-07-07T12:09:12Z
dc.descriptionWe study quasi-periodic tori under a normal-internal resonance, possibly with multiple eigenvalues. Two non-degeneracy conditions play a role. The first of these generalizes invertibility of the Floquet matrix and prevents drift of the lower dimensional torus. The second condition involves a Kolmogorov-like variation of the internal frequencies and simultaneously versality of the Floquet matrix unfolding. We focus on the reversible setting, but our results carry over to the Hamiltonian and dissipative contexts.
dc.identifierhttps://arxiv.org/abs/0708.2269
dc.identifierhttp://arxiv.org/abs/0708.2269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209549
dc.subjectDynamical Systems
dc.subject37J40
dc.titleQuasi-periodic stability of normally resonant tori
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