Publicação: Singular impasse points of planar constrained differential systems
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Planar analytic constrained differential systems (or impasse systems) are given by (Formular Presented) where F is a vector field and A is a matrix valued function. This class of systems differs from classical ODE’s due to existence of the so called impasse set ∆ = {x : det A(x) = 0}. The dynamics near smooth impasse points is well known in the literature (see for instance [17, 28, 31]). In this paper, we use Newton polygon and weighted blow ups in order to study its phase portrait near singular points of ∆. Moreover, we apply our results in electric circuit problems.
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blow ups, Constrained differential systems, impasses, singular perturbations, topological equivalence
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Inglês
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Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 29, n. 5, p. 611-643, 2022.
