The Henon Family: The Complex Horseshoe Locus and Real Parameter Space
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
We consider the complexification of the Henon family of quadratic diffeomorphisms of the plane, and the region of parameter space corresponding to complex horseshoes. We discuss some conjectures about the global topology of the complex horseshoe locus.
Keywords
Cite
@article{arxiv.math/0501475,
title = {The Henon Family: The Complex Horseshoe Locus and Real Parameter Space},
author = {Eric Bedford and John Smillie},
journal= {arXiv preprint arXiv:math/0501475},
year = {2007}
}