摘要
In this paper,we present a criterion for pitchfork bifurcations of smooth vector elds based on a topological argument.Our result expands Rajapakse and Smale's result[15]signi cantly.Based on our criterion,we present a class of families of non-symmetric vector elds undergoing a pitchfork bifurcation.
基金
The second author was supported by the Smale Institute.This work was finished during the third author's stay in Graduate Center of City University of New York.
