Dynamics of nonlinear resonances in Hamiltonian systems

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dc.creatorBustamante, Miguel D.
dc.creatorKartashova, Elena
dc.date2008-05-03
dc.date2008-11-05
dc.date.accessioned2026-07-07T12:30:03Z
dc.date.available2026-07-07T12:30:03Z
dc.descriptionIt is well known that the dynamics of a Hamiltonian system depends crucially on whether or not it possesses nonlinear resonances. In the generic case, the set of nonlinear resonances consists of independent clusters of resonantly interacting modes, described by a few low-dimensional dynamical systems. We show that 1) most frequently met clusters are described by integrable dynamical systems, and 2) construction of clusters can be used as the base for the Clipping method, substantially more effective for these systems than the Galerkin method. The results can be used directly for systems with cubic Hamiltonian.
dc.descriptionNew version: improved physical motivation and added details about clipping method
dc.identifierhttps://arxiv.org/abs/0805.0358
dc.identifierhttp://arxiv.org/abs/0805.0358
dc.identifierEurophysics Letters 85: 14004 (2009)
dc.identifierdoi:10.1209/0295-5075/85/14004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216032
dc.subjectExactly Solvable and Integrable Systems
dc.titleDynamics of nonlinear resonances in Hamiltonian systems
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