On superintegrable systems closed to geodesic motion
classification
solv-int
nlin.SI
keywords
superintegrablesystemsgeodesicmotionalgebrasauthomorphismsclassicalclosed
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In this work we consider superintegrable systems in the classical $r$-matrix method. By using other authomorphisms of the loop algebras we construct new superintegrable systems with rational potentials from geodesic motion on $R^{2n}$.
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