3 papers
math.DS2021
On the classification of planar constrained differential systems under topological equivalence
Otavio Henrique Perez, Paulo Ricardo da Silva
This paper concerns the local study of analytic constrained differential systems (or impasse systems) of the form , , where is a vector…
math.DS2020
Invariant Algebraic Surfaces and Constrained Systems
Paulo Ricardo da Silva, Otávio Henrique Perez
We study flows of smooth vector fields over invariant surfaces which are levels of rational first integrals. It leads us to study constrained systems, that is, systems with…
math.DS2018
On non-smooth slow-fast systems
Jaime Resende de Moraes, Paulo Ricardo da Silva
We deal with non-smooth differential systems with discontinuity occurring in a codimension one smooth surface . A regularization of is a 1-parame…