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20132019
most citedThe generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems

32 citations · 43 across the 5 of their papers we have counts for

collaborators

5 papers

math.DS2019★ 10 cited

Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a two-fold cycle

Douglas D. Novaes, Tere M. Seara, Marco A. Teixeira +1

We study the existence of periodic solutions in a class of planar Filippov systems obtained from non-autonomous periodic perturbations of reversible piecewise smooth differential s…

math.DS2017★ 32 cited

The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems

Douglas Duarte Novaes, Marco Antonio Teixeira, Iris de Oliveira Zeli

Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for -parameter families of planar vector fields. In the present s…

math.DS2017

Normal forms of bireversible vector fields

P. H. Baptistelli, M. Manoel, I. O. Zeli

In this paper we adapt the method of [P. H. Baptistelli, M. Manoel and I. O. Zeli. Normal form theory for reversible equivariant vector fields. Bull. Braz. Math. Soc., New Series 4…

math.DS2015★ 1 cited

Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+2)-dimension

J. Llibre, M. A. Teixeira, I. O. Zeli

The orbits of the reversible differential system , , , with and , are periodic with the exception of the equilibrium points…

math.RT2013

Normal form theory for reversible equivariant vector fields

Patricia Hernandes Baptistelli, Miriam Garcia Manoel, Iris de Oliveira Zeli

We give an alternative method to obtain normal forms of reversible equivariant vector fields. We adapt the classical method using tools from invariant theory to establish formulae…