First integrals and stability estimates for isochronous nonresonant symplectic maps.

Details First integrals and stability estimates for isochronous nonresonant symplectic maps. First integrals and stability estimates for isochronous nonresonant symplectic maps.

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ncimb.106..673b&link_type=abstract

Nuovo Cimento B, Vol. 106, No. 6, p. 673 - 688

Physics

2

Scientific paper

The authors prove that nonresonant isochronous symplectic maps in a neighbourhood of an elliptical fixed point have as many approximate polynomial first integrals as the number of degrees of freedom. From this they deduce a stability estimate for exponentially long times with the inverse of the distance from the fixed point. In the proof the authors make use of the majorant series method, and a functional equation verified by the majorant series used is studied in detail.

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