The Critical Renormalization Fixed Point for Commuting Pairs of Area-Preserving Maps

被引：14

作者：

Arioli, Gianni ^{[1
]}

Koch, Hans ^{[2
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 295卷 / 02期

关键词：

CRITICAL INVARIANT TORI; HAMILTONIAN-SYSTEMS; CIRCLES; EXISTENCE; OPERATOR;

D O I：

10.1007/s00220-009-0922-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the existence of the critical fixed point (F, G) for MacKay's renormalization operator for pairs of maps of the plane. The maps F and G commute, are area-preserving, reversible, real analytic, and they satisfy a twist condition.

引用

页码：415 / 429

页数：15

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