Algebraic Non-Integrability of the Cohen Map
نویسندگان
چکیده
The map x y p x y x of the plane is area preserving and has the remarkable property that in numerical studies it shows exact integrability The plane is a union of smooth disjoint invariant curves of the map However the integral has not explicitly been known In the current paper we will show that the map does not have an algebraic integral i e there is no non constant function F x y such that F F There exists a polynomial G x y z of three variables with
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