On a class of third order mappings with two rational invariants

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A novel family of integrable third order maps is presented. Each map possesses, by construction, a pair of rational invariants and a commuting map from the same class. The 3-dimensional invariant curve is parametrized, in general, by an elliptic curve.
9 pages, 6 figures

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/114345

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0606056
 http://arxiv.org/abs/nlin/0606056

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arXiv