Groups of Germs of Analytic Diffeomorphisms in (C2, 0)

被引：0

作者：

Fabio Enrique Brochero Martínez

机构：

[1] Instituto de Matemática Pura e Aplicada,

[2] IMPA,undefined

来源：

Journal of Dynamical and Control Systems | 2003年 / 9卷

关键词：

Mattei–Moussu topological criteria; dicritic diffeomorphism; flower theorem; convergent orbits; semiformal conjugation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a group of germs of analytic diffeomorphisms in (C2, 0). We find some remarkable properties supposing that G is finite, linearizable, abelian, nilpotent, and solvable. In particular, if the group is abelian and has a generic dicritic diffeomorphisms, then the group is a subgroup of a 1-parametric group. In addition, we study the topological behavior of the orbits of a dicritic diffeomorphisms. Last, we find some invariants in order to know when two diffeomorphisms are formally conjugate.

引用

页码：1 / 32

页数：31

共 50 条

[1] Groups of germs of analytic diffeomorphisms in (C2, 0)
Martínez, FEB
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2003, 9 (01) : 1 - 32
[2] HEDGEHOGS FOR NEUTRAL DISSIPATIVE GERMS OF HOLOMORPHIC DIFFEOMORPHISMS OF (C2, 0)
Firsova, Tanya
Lyubich, Mikhail
Radu, Remus
Tanase, Raluca
[J]. ASTERISQUE, 2020, (416) : 193 - 211
[3] Linearization of analytic and non-analytic germs of diffeomorphisms of (C, 0)
Carletti, T
Marmi, S
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2000, 128 (01): : 69 - 85
[4] LINEARIZATION OF GERMS OF HOLOMORPHIC DIFFEOMORPHISMS OF (C, 0)
YOCCOZ, JC
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1988, 306 (01): : 55 - 58
[5] Surface groups in the group of germs of analytic diffeomorphisms in one variable
Cantat, Serge
Cerveau, Dominique
Guirardel, Vincent
Souto, Juan
[J]. ENSEIGNEMENT MATHEMATIQUE, 2020, 66 (1-2): : 93 - 134
[6] Diffeomorphisms of (C2, 0) targent to the identity and preserving the Hopf fibration
Ribon, J
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 332 (11): : 1011 - 1014
[7] A Livsic type theorem for germs of analytic diffeomorphisms
Navas, Andres
Ponce, Mario
[J]. NONLINEARITY, 2013, 26 (01) : 297 - 305
[8] Recognition and Implementation of Contact Simple Map Germs from (C2,0)?(C2,0)
Xu, Peng
Binyamin, Muhammad Ahsan
Aslam, Adnan
Shahbaz, Muhammad
Aslam, Saima
Kanwal, Salma
[J]. MATHEMATICS, 2023, 11 (07)
[9] Parabolic curves for diffeomorphisms in C2
Martinez, F. E. Brochero
Cano, F.
Lopez-Hernanz, L.
[J]. PUBLICACIONS MATEMATIQUES, 2008, 52 (01) : 189 - 194
[10] Diffeomorphisms with C2 stable shadowing
Sakai, K
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2002, 17 (03): : 235 - 241

← 1 2 3 4 5 →