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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 004, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.004 (Mi sigma4) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A System of $n=3$ Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion

Manuel F. Rañada

Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
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DOI: https://doi.org/10.3842/SIGMA.2005.004
Abstract: The properties of a system of $n=3$ coupled oscillators with linear terms in the velocities (magnetic terms) depending in two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters.
Keywords: non-symplectic symmetries; bi-Hamiltonian structures;master symmetries; cubic integrals.
Received: July 6, 2005; in final form September 16, 2005; Published online September 20, 2005
Bibliographic databases:
Document Type: Article
MSC: 37J15; 70H06; 70H33
Language: English
Citation: Manuel F. Rañada, “A System of $n=3$ Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion”, SIGMA, 1 (2005), 004, 7 pp.
Citation in format AMSBIB
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\by Manuel F. Ra{\~n}ada
\paper A System of $n=3$ Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
\jour SIGMA
\yr 2005
\vol 1
\papernumber 004
\totalpages 7
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\crossref{https://doi.org/10.3842/SIGMA.2005.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2173591}
\zmath{https://zbmath.org/?q=an:1093.37024}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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