For fifteen classes of piecewise systems combining linear and cubic isochronous centers, the maximum number of crossing limit cycles is bounded above in twelve cases and at least three occur in all fifteen.
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Crossing limit cycles of discontinuous piecewise differential systems with Pleshkan's isochronous centers
For fifteen classes of piecewise systems combining linear and cubic isochronous centers, the maximum number of crossing limit cycles is bounded above in twelve cases and at least three occur in all fifteen.