On a class of third order mappings with two rational invariants
classification
🌊 nlin.SI
keywords
classcurveinvariantsorderrationalthirdcommutingconstruction
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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.
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