Period doubling for bimodal maps: a horseshoe for a renormalisation operator

被引：33

作者：

MacKay, R. S. ^{[1
]}

van Zeijts, J. B. J. ^{[1
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

NONLINEARITY | 1988年 / 1卷 / 01期

关键词：

D O I：

10.1088/0951-7715/1/1/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find universal scaling behaviour for the period-doubling tree in two-parameter families of bimodal maps of the interval. A renormalisation group explanation is given in terms of a horseshoe with a Cantor set of two-dimensional unstable manifolds instead of the usual fixed point with one unstable direction.

引用

页码：253 / 277

页数：25

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