M. Álvarez

collaborators

2 papers

math.DS2013

Limit cycles for a class of quintic $Z_{6} -$ 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.DS2006

A new uniqueness criterion for the number of periodic orbits of Abel equations

M. J. Alvarez, A. Gasull, H. Giacomini

A solution of the Abel equation $x ˙ = A (t) x^{3} + B (t) x^{2}$ such that $x (0) = x (1)$ is called a periodic orbit of the equation. Our main result proves that if there exist two real numb…

Limit cycles for a class of quintic Z6​−equivariant systems without infinite critical points

A new uniqueness criterion for the number of periodic orbits of Abel equations

Limit cycles for a class of quintic $Z_{6} -$ equivariant systems without infinite critical points