Abstract
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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Cheng, C.Q., Sun, Y.S. Existence of periodically invariant curves in 3-dimensional measure-preserving mappings. Celestial Mech Dyn Astr 47, 293–303 (1989). https://doi.org/10.1007/BF00053457
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DOI: https://doi.org/10.1007/BF00053457