Nekhoroshev estimate for isochronous non resonant symplectic maps |
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Authors: | Armando Bazzani Stefano Marmi Giorgio Turchetti |
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Institution: | (1) Dipartimento di Fisica, Universitd di Bologna INFN-Sezione di Bologna, Via Irnerio 46, I-40126 Bologna, Italy |
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Abstract: | We prove that non resonant isochronous symplectic maps in a neighborhood of an elliptic fixed point are stable for exponentially long times with the inverse of the distance from the fixed point. In the proof we make use of the majorant series method together with an idea for optimizing remainder estimates first applied to Hamiltonian problems by Nekhoroshev. |
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Keywords: | symplectic maps stability normal forms |
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