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

B. D. Mestel*, A. H. Osbaldestin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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 their associated scaling parameters in the singular limit of degree tending to 1.

Original languageEnglish
Pages (from-to)4732-4746
Number of pages15
JournalJournal of Mathematical Physics
Volume41
Issue number7
DOIs
Publication statusPublished - 20 Jun 2000

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