38 citations · 99 across the 21 of their papers we have counts for
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Limit cycles for a class of quintic equivariant systems without infinite critical points
Maria Jesus Álvarez, Isabel Salgado Labouriau, Adrian Calin Murza
We analyze the dynamics of a 4-parameter family of planar ordinary differential equations, given by a polynomial of degree 5 that is equivariant under a symmetry of order 6. We obt…
Spiralling dynamics near heteroclinic networks
Alexandre A. P. Rodrigues, Isabel S. Labouriau
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of v…
Periodic solutions in an array of coupled FitzHugh-Nagumo cells
Isabel Salgado Labouriau, Adrian Calin Murza
We analyse the dynamics of an array of identical cells coupled in the shape of a torus. Each cell is a 2-dimensional ordinary differential equation of FitzHugh-Nagumo type an…
Partial symmetry breaking and heteroclinic tangencies
Isabel S. Labouriau, Alexandre A. P. Rodrigues
We study some global aspects of the bifurcation of an equivariant family of volume-contracting vector fields on the three-dimensional sphere. When part of the symmetry is broken, t…