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Bifurcation Chaos"],"published-print":{"date-parts":[[2022,9,15]]},"abstract":"<jats:p> In this paper, we prove that for a nonuniformly hyperbolic system [Formula: see text], and for every convex and compact subset [Formula: see text] with the same hyperbolic rate, the packing entropy of saturated set [Formula: see text] equals the supremum of the metric entropy of all measures in K. Here [Formula: see text] denotes the set of all [Formula: see text]-invariant Borel probability measures supported on [Formula: see text]. 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