Invariant elliptic curves as attractors in the projective plane
Dynamical Systems
2011-02-01 v2 Complex Variables
Abstract
Let f be a rational self-map of P^2 which leaves invariant an elliptic curve C with strictly negative transverse Lyapunov exponent. We show that C is an attractor, i.e. it possesses a dense orbit and its basin is of strictly positive measure.
Keywords
Cite
@article{arxiv.0811.4532,
title = {Invariant elliptic curves as attractors in the projective plane},
author = {Johan Taflin},
journal= {arXiv preprint arXiv:0811.4532},
year = {2011}
}