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math.DS2024★ 3 cited
Limit cycles and chaos in planar hybrid systems
Jaume Llibre, Paulo Santana
In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also…
math.DS2024
Piecewise continuous and monotonic maps on the interval
Kleyber Cunha, Marcio Gouveia, Paulo Santana
Let be a piecewise continuous and monotonic map on the interval with at most finitely many discontinuities and turning points. In this paper we study properties about this clas…