M. Fernández

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math.DS2025

Upper bound of the number of limit cycles for symmetric scalar piecewise linear differential equations with three zones

J. L. Bravo, V. Carmona, M. Fernández +1

The study of the dynamics of a continuous observable and non-controllable three-dimensional symmetric piecewise linear system with three zones can be reduced to the study of the ex…

math.DS2023

Hilbert number for a family of piecewise nonautonomous equations

J. L. Bravo, M. Fernandez, I. Ojeda

For family $x^{'} = (a_{0} + a_{1} cos t + a_{2} sin t) ∣ x ∣ + b_{0} + b_{1} cos t + b_{2} sin t$ , we solve three basic problems related with its dynamics. First, we characterize when it has a center (Poinc…