3 papers
math.DS2025
Upper bound for the number of limit cycles for symmetric piecewise linear differential equations with three zones
J. L. Bravo, V. Carmona, M. Fernández +1
The study of the periodic dynamics of the family of continuous observable and non-controllable three-dimensional symmetric piecewise linear systems with three zones considered here…
math.DS2023
Hilbert number for a family of piecewise nonautonomous equations
J. L. Bravo, M. Fernandez, I. Ojeda
For family , we solve three basic problems related with its dynamics. First, we characterize when it has a center (Poinc…
math.CA2023
Stability of singular limit cycles for Abel equations revisited
J. L. Bravo, M. Fernández, I. Ojeda
A criterion is obtained for the semi-stability of the isolated singular positive closed solutions, i.e., singular positive limit cycles, of the Abel equation ,…