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 language | English |
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Pages (from-to) | 4732-4746 |
Number of pages | 15 |
Journal | Journal of Mathematical Physics |
Volume | 41 |
Issue number | 7 |
DOIs | |
Publication status | Published - 20 Jun 2000 |