The work establishes a quantitative relationship between the multiplicity of tangency at a grazing point and the numbers of bifurcating crossing limit cycles, sliding loops, and tangent points on those loops.
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Bifurcations of grazing loops of arbitrary tangent multiplicity in piecewise-smooth systems
The work establishes a quantitative relationship between the multiplicity of tangency at a grazing point and the numbers of bifurcating crossing limit cycles, sliding loops, and tangent points on those loops.