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.
International Journal of Bifurcation and Chaos , volume=
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2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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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.
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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.