Superintegrable models on Riemannian surfaces of revolution with integrals of any integer degree (I)

We present a family of superintegrable (SI) systems which live on a Riemannian surface of revolution and which exhibit one linear integral and two integrals of any integer degree larger or equal to 2 in the momenta. When this degree is 2, one recovers a metric due to Koenigs. The local structure of...

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Veröffentlicht in:	Regular & chaotic dynamics 2017-07, Vol.22 (4), p.319-352
1. Verfasser:	Valent, Galliano
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Dynamical Systems and Ergodic Theory Integrals Mathematics Mathematics and Statistics Ordinary differential equations
Online-Zugang:	Volltext
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