Quasi-periodic response solutions at normal-internal resonances

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Broer, H. W.
dc.contributor.author	Hanssmann, Heinz
dc.contributor.author	Jorba, Angel
dc.contributor.author	Villanueva Castelltort, Jordi
dc.contributor.author	Wagener, Florian
dc.date	2003
dc.identifier.uri	http://hdl.handle.net/2117/889
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Differential equations
dc.subject	Hamiltonian systems
dc.subject	Nonlinear Dynamics
dc.subject	Quasi-periodic response solutions
dc.subject	normal-internal resonances
dc.subject	Equacions diferencials ordinàries
dc.subject	Hamilton, Sistemes de
dc.subject	Partícules (Física nuclear)
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject	Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
dc.title	Quasi-periodic response solutions at normal-internal resonances
dc.type	info:eu-repo/semantics/article
dc.description.abstract	In the conservative dynamics of certain quasi-periodically forced oscillators, normal-internal resonances are considered in a bifurcational setting. The unforced system is a one degree of freedom oscillator, under forcing the system becomes a skew-product flow with a quasi-periodic motion on an $n$-dimensional torus as driving system. In this work, we investigate the persistence and the bifurcations of quasi-periodic $n$-dimensional tori (so-called ``resonse solutions'') in the averaged system, filling normal-internal resonance `gaps' that had been excluded in previous analyses.

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