2020
DOI: 10.1142/s0218127420300177
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Bifurcation Analysis in Planar Quadratic Differential Systems with Boundary

Abstract: Given a planar quadratic differential system delimited by a straight line, we are interested in studying the bifurcation phenomena that can arise when the position on the boundary of two tangency points are considered as parameters of bifurcation. First, under generic conditions, we find a two-parametric family of quadratic differential systems with at least one tangency point. After that, we find a normal form for this parameterized family. Next, we study two subfamilies, one of them characterized by… Show more

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