Nonsmooth switching manifolds in piecewise systems with isochronous centers allow four crossing limit cycles, with explicit upper bounds from algebraic arguments and sharp lower bounds via constructions.
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Emergence of Multiple Crossing Limit Cycles in Planar Piecewise Systems with Isochronous Centers and Nonsmooth Switching Manifolds
Nonsmooth switching manifolds in piecewise systems with isochronous centers allow four crossing limit cycles, with explicit upper bounds from algebraic arguments and sharp lower bounds via constructions.