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Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points

Asymptotics of scaling parameters for period-doubling in unimodal maps with asymmetric critical points

The universal period-doubling scaling of a unimodal map with an asymmetric critical point is governed by a period-2 point of a renormalization operator. The period-2 point is parametrized by the degree of the critical point and the asymmetry modulus. In this paper we study the asymptotics of period-2 points and …