Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point
Dynamical Systems
2018-07-04 v1
Abstract
We study dynamics of area-preserving maps in a neighbourhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of co-dimension 3. We also construct normal forms for a generic three-parameter family which contains such degeneracy and use the normal form theory to describe generic bifurcations of periodic orbits in these families.
Keywords
Cite
@article{arxiv.1711.02921,
title = {Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point},
author = {Natalia Gelfreikh},
journal= {arXiv preprint arXiv:1711.02921},
year = {2018}
}