Reversible Polynomial Automorphisms of the Plane: the Involutory Case
Chaotic Dynamics
2010-06-22 v1
Abstract
Planar polynomial automorphisms are polynomial maps of the plane whose inverse is also a polynomial map. A map is reversible if it is conjugate to its inverse. Here we obtain a normal form for automorphisms that are reversible by an involution that is also in the group of polynomial automorphisms. This form is a composition of a sequence of generalized Henon maps together with two simple involutions. We show that the coefficients in the normal form are unique up to finitely many choices.
Cite
@article{arxiv.nlin/0209055,
title = {Reversible Polynomial Automorphisms of the Plane: the Involutory Case},
author = {A. Gomez and J. D. Meiss},
journal= {arXiv preprint arXiv:nlin/0209055},
year = {2010}
}
Comments
14 pages in laTeX. No figures