Naishul’s theorem for fibered holomorphic maps

被引：0

作者：

Mario Ponce

机构：

[1] Pontificia Universidad Católica de Chile,Facultad de Matemáticas

来源：

Mathematische Zeitschrift | 2012年 / 271卷

关键词：

Rotation Number; Local Dynamic; Invariant Torus; Invariant Curve; Zero Section;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the fibered rotation number associated to an indifferent invariant curve for a fibered holomorphic map is a topological invariant.

引用

页码：867 / 875

页数：8

共 13 条

[1]

Gambaudo J.-M.(1996)Une généralisation d’un théorème de Naishul. C. R. Acad. Sci. Paris Sér. I Math. 323 397-402

[2]

Le Calvez P.(1995)A topological invariant for volume preserving diffeomorphisms Ergodic Theory Dynam. Systems. 15 535-541

[3]

Pécou É.(1983)Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d’un théorème d’Arnol′d et de Moser sur le tore de dimension 2 Comment. Math. Helv. 58 453-502

[4]

Gambaudo J.-M.(2008)A topological characterization of holomorphic parabolic germs in the plane Fund. Math. 198 77-94

[5]

Pécou É.(1982)Topological invariants of analytic and area-preserving mappings and their application to analytic differential equations in C Trudy Moskov. Mat. Obshch. 44 235-245

[6]

Herman M.-R.(2007) and C Nonlinearity 20 2939-2955

[7]

Le Roux F.(2002)Local dynamics for fibred holomorphic transformations Dyn. Syst. 17 1-28

[8]

Naĭshul′ V.A.(undefined)Rotation numbers for quasi-periodically forced monotone circle maps undefined undefined undefined-undefined

[9]

Ponce M.(undefined)undefined undefined undefined undefined-undefined

[10]

Stark J.(undefined)undefined undefined undefined undefined-undefined

← 1 2 →