Nekhoroshev estimate for isochronous non resonant symplectic maps

Details Nekhoroshev estimate for isochronous non resonant symplectic maps Nekhoroshev estimate for isochronous non resonant symplectic maps

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..47..333b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 47, Issue 4, pp.333-359

Astronomy and Astrophysics

Astronomy

4

Symplectic Maps, Stability, Normal Forms

Scientific paper

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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