Hilbert number for a family of piecewise nonautonomous equations

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

For family $x^{\prime }=(a_0+a_1\cos t+a_2\sin t)|x|+b_0+b_1\cos t+b_2\sin t$, we solve three basic problems related with its dynamics. First, we characterize when it has a center (Poinc…