Stable and non-symmetric pitchfork bifurcations
Dynamical Systems
2018-11-09 v3
Abstract
In this paper, we present a criterion for pitchfork bifurcation of smooth vector fields based on a topological argument. Our result expands Rajapakse and Smale's result \cite{RS2} significantly. Based on our criterion, we present a class of families of non-symmetric vector fields undergoing a pitchfork bifurcation.
Keywords
Cite
@article{arxiv.1804.03264,
title = {Stable and non-symmetric pitchfork bifurcations},
author = {Enrique Pujals and Michael Shub and Yun Yang},
journal= {arXiv preprint arXiv:1804.03264},
year = {2018}
}