Abstract
Let $F_t$, where $t \in \mathbb{R}$, be an analytic family of plane-to-plane mappings with $F_0$ having a critical point at the origin. The paper presents effective algebraic methods of computing the number of those cusp points of $F_t$, where $0 < |t|\ll 1$, emanating from the origin at which $F_t$ has a positive/negative local topological degree.
Citation
Zbigniew SZAFRANIEC. "On bifurcations of cusps." J. Math. Soc. Japan 71 (2) 555 - 567, April, 2019. https://doi.org/10.2969/jmsj/79217921
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