Last invariant curve for the Standard map
DOI:
https://doi.org/10.33936/revbasdelaciencia.v7iESPECIAL.5083Keywords:
Birkhoff normal form, Denjoy's theorem, invariant manifolds, KAM, Moser's Twist Theorem, rotation number, Standard mapAbstract
The standard map is one of the best known and used applications in dynamic systems, due to its physical properties and applications, this work is focused on determining the last invariant curve, for the same it is necessary to place conditions in the parameter to guarantee the existence of the invariant region, which is guaranteed using the Theorems: Moser's Twist, KAM, Birkhoff's normal form and Denjoy's theorem, uniting all these results, along with the calculation of the rotation number, we are able to find numerically the initial values of the orbits that allow to find the last invariant curve
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