Renormalization scheme for vector fields on T2 with a diophantine frequency

被引：9

作者：

Dias, JL ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

来源：

NONLINEARITY | 2002年 / 15卷 / 03期

关键词：

D O I：

10.1088/0951-7715/15/3/308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a rigorous renormalization scheme for analytic vector fields on T-2 of Poincare type. We show that, iterating this procedure, there is convergence to a limit set with a 'Gauss map' dynamics on it, related to the continued fraction expansion of the slope of the frequencies. This is valid for diophantine frequency vectors.

引用

页码：665 / 679

页数：15

共 18 条

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[2]

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[3]

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[4]

Arnold VI., 1965, Trans. Am. Math. Soc. 2nd Ser, V46, P213, DOI [10.1007/BF00275153, 10.1090/trans2/046/11]