Structural stability of generic PC-HC vector field families on S² is proved, with classification via configuration and characteristic set invariants, a realization lemma, and constructed bifurcation diagrams.
Families of vector fields with finite modulus of stability, Lecture Notes in Math
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Bifurcations and Structural Stability of Generic PC-HC Families
Structural stability of generic PC-HC vector field families on S² is proved, with classification via configuration and characteristic set invariants, a realization lemma, and constructed bifurcation diagrams.