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- Universitat Autònoma de BarcelonaES4 papers
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math.DS2025
Limit cycles and invariant algebraic curves
Armengol Gasull, Paulo Santana
We give lower bounds in terms of~ for the number of limit cycles of polynomial vector fields of degree~ having any prescribed invariant algebraic curve. By applying them wh…
math.DS2025
The hybrid matching of Hurwitz systems
Luis Fernando Mello, Paulo Santana
In this paper we study planar hybrid systems composed by two stable linear systems, defined by Hurwitz matrices, in addition with a jump that can be a piecewise linear, a polynomia…