34 citations · 185 across the 30 of their papers we have counts for
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math.DS2000
Vector Fields, Invariant Varieties and Linear Systems
Jorge Vitorio Pereira
We investigate the interplay between invariant varieties of vector fields and the inflection locus of linear systems with respect to the vector field. Among the consequences of suc…
math.DS2000★ 30 cited
Multiplicity of Invariant Algebraic Curves and Darboux Integrability
Jaume Llibre, Jorge Vitorio Pereira
We define four different kinds of multiplicity of an invariant algebraic curve for a given polynomial vector field and investigate their relationships. After taking a closer look a…