Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
47 (1989), S. 333-359
ISSN:
1572-9478
Keywords:
symplectic maps
;
stability
;
normal forms
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00051010
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