Stable and non-symmetric pitchfork bifurcations
classification
🧮 math.DS
keywords
pitchforkbifurcationcriterionfieldsnon-symmetricresultvectorargument
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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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