Existence of periodically invariant curves in 3-dimensional measure-preserving mappings

Details Existence of periodically invariant curves in 3-dimensional measure-preserving mappings Existence of periodically invariant curves in 3-dimensional measure-preserving mappings

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..47..293c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 47, Issue 3, pp.293-303

Astronomy and Astrophysics

Astronomy

1

Scientific paper

With the aid of a normal form of a family of measure-preserving mappings
in dimension 3, which is deduced in this paper, we prove that there are
periodically invariant curves which survive the nonlinear perturbations
in the generic case.

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