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

被引：7
|
作者：
Mestel, BD
Osbaldestin, AH
机构：
[1] Univ Exeter, Sch Math Sci, Exeter EX4 4QE, Devon, England
[2] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 07期
关键词：
D O I：
10.1063/1.533398
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2000 American Institute of Physics. [S0022-2488(00)06505-1].
引用
收藏
页码：4732 / 4746
页数：15
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