Elements of Non-Linear Hamiltonian Dynamics
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
03/12/2014
03/12/2014
01/01/2013
|
Resumo |
In this paper we present a set of generic results on Hamiltonian non-linear dynamics. We show the necessary conditions for a Hamiltonian system to present a non-twist scenario and from that we introduce the isochronous resonances. The generality of these resonances is shown from the Hamiltonian given by the Birkhof-Gustavson normal form, which can be considered a toy model, and from an optic system governed by the non-linear map of the annular billiard. We also define a special kind of transport barrier called robust torus. The meanders and shearless curves are also presented and we show the most robust shearless barrier associated with the rotation numbers. |
Formato |
6 |
Identificador |
http://dx.doi.org/10.1088/1742-6596/465/1/012016 Xvi Brazilian Colloquium On Orbital Dynamics. Bristol: Iop Publishing Ltd, v. 465, 6 p., 2013. 1742-6588 http://hdl.handle.net/11449/111529 10.1088/1742-6596/465/1/012016 WOS:000326877000016 WOS000326877000016.pdf |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Xvi Brazilian Colloquium On Orbital Dynamics |
Direitos |
openAccess |
Palavras-Chave | #isochronous resonances #robust torus #meandering tori #shearless curves |
Tipo |
info:eu-repo/semantics/conferencePaper |