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Relativistic pendulum and invariant curves

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  • We apply KAM theory to the equation of the forced relativistic pendulum to prove that all the solutions have bounded momentum. Subsequently, we detect the existence of quasiperiodic solutions in a generalized sense. This is achieved using a modified version of the Aubry-Mather theory for compositions of twist maps.
    Mathematics Subject Classification: Primary: 70H08, 70K43; Secondary: 34C15, 37C55.


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