Mostra el registre d'ítem simple
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach
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.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-07T14:54:35Z |
dc.date.available | 2007-05-07T14:54:35Z |
dc.date.created | 2003 |
dc.date.issued | 2003 |
dc.identifier.uri | http://hdl.handle.net/2117/897 |
dc.description.abstract | We perform a bifurcation analysis of normal–internal resonances in parametrised families of quasi–periodically forced Hamiltonian oscillators, for small forcing. The unforced system is a one degree of freedom oscillator, called the ‘backbone’ system; forced, the system is a skew–product flow with a quasi–periodic driving with basic frequencies. The dynamics of the forced system are simplified by averaging over the orbits of a linearisation of the unforced system. The averaged system turns out to have the same structure as in the well–known case of periodic forcing ; for a real analytic system, the non–integrable part can even be made exponentially small in the forcing strength. We investigate the persistence and the bifurcations of quasi–periodic –dimensional tori in the averaged system, filling normal–internal resonance ‘gaps’ that had been excluded in previous analyses. However, these gaps cannot completely be filled up: secondary resonance gaps appear, to which the averaging analysis can be applied again. This phenomenon of ‘gaps within gaps’ makes the quasi–periodic case more complicated than the periodic case. |
dc.format.extent | 36 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Hamiltonian dynamical systems |
dc.subject.lcsh | Lagrangian functions |
dc.subject.lcsh | Nonlinear Dynamics |
dc.subject.lcsh | Global analysis (Mathematics) |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.lcsh | Differential equations |
dc.subject.other | quasi–periodically forced oscillators |
dc.title | Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach |
dc.type | Article |
dc.subject.lemac | Hamilton, Sistemes de |
dc.subject.lemac | Lagrange, Funcions de |
dc.subject.lemac | Partícules (Física nuclear) |
dc.subject.lemac | Equacions diferencials ordinàries |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
dc.subject.ams | Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [415]
-
Articles de revista [3.234]