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math.DS2013
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…
math.DS2013
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…