$C^1$ weak Palis conjecture for nonsingular flows
Dynamical Systems
2015-07-30 v2
Abstract
The aim of this work is to prove weak Palis conjecture for nonsingular flows. Weak Palis conjecture claims that a generic vector field either is Morse-Smale or exhibits horseshoes. Central model is come up with by Crovisier to obtain homoclinic intersection for diffeomorphisms. We adapt his method for nonsingular flows.
Keywords
Cite
@article{arxiv.1507.07781,
title = {$C^1$ weak Palis conjecture for nonsingular flows},
author = {Qianying Xiao and Zuohuan Zheng},
journal= {arXiv preprint arXiv:1507.07781},
year = {2015}
}
Comments
18 pages