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arXiv · 1804.03264

Stable and non-symmetric pitchfork bifurcations

Enrique Pujals·Michael Shub·Yun Yang
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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.

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Enrique Pujals, Michael Shub, Yun Yang. 2018-04-09. Stable and non-symmetric pitchfork bifurcations. https://arxiv.org/abs/1804.03264

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