Building Expansion for Generalizations of Viana Maps
Dynamical Systems
2023-12-05 v1
Abstract
In a seminal paper, Viana built examples of maps presenting two positive Lyapunov exponents exploring skew-products of a (uniformly) expanding map and a quadratic map (order 2 critical point) perturbed by some level of noise. Here we extend that construction replacing the quadratic underlying dynamics by maps with a more degenerated critical point.
Keywords
Cite
@article{arxiv.2312.00906,
title = {Building Expansion for Generalizations of Viana Maps},
author = {Vanderlei Horita and Nivaldo Muniz and Olivier Sester},
journal= {arXiv preprint arXiv:2312.00906},
year = {2023}
}