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Dynamics of nonlinear resonances in Hamiltonian systems
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Bustamante, M. D. and Kartashova, E. (2009) Dynamics of nonlinear resonances in Hamiltonian systems. Europhysics Letters (EPL), Vol.85 (No.1). Article no.14004. doi:10.1209/0295-5075/85/14004
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Official URL: http://dx.doi.org/10.1209/0295-5075/85/14004
Abstract
It 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 formulate and prove a new theorem on integrability which allows us to show that most frequently met clusters are described by integrable dynamical systems. We argue that 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. Copyright (C) EPLA, 2009
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Europhysics Letters (EPL) | ||||
| Publisher: | Institute of Physics Publishing Ltd. | ||||
| ISSN: | 0295-5075 | ||||
| Official Date: | January 2009 | ||||
| Dates: |
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| Volume: | Vol.85 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 6 | ||||
| Page Range: | Article no.14004 | ||||
| DOI: | 10.1209/0295-5075/85/14004 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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