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Abstract
This paper is concerned with bifurcations of canard limit cycles in several singularly perturbed generalized polynomial Lienard systems. By analyzing the multiplicities of the zeroes of the slow divergence integrals and their complete unfolding, the upper bounds of canard limit cycles bifurcating from the suitable limit periodic sets through respectively the generic Hopf breaking mechanism, the generic jump breaking mechanism and a succession of the Hopf and jump mechanisms in these polynomial Lienard systems are obtained.
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