Equivariant Sternberg-Chen theorem

G. R. Belitskii; A. Ya Kopanskii

doi:10.1023/A:1015178720344

Equivariant Sternberg-Chen theorem

G. R. Belitskii, A. Ya Kopanskii

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Smooth (C^∞) vector fields with linear symmetries and anti-symmetries are considered. We prove that provided symmetry group is compact then a smooth conjugacy in Sternberg-Chen Theorem can be chosen symmetric.

Original language	English
Pages (from-to)	349-367
Number of pages	19
Journal	Journal of Dynamics and Differential Equations
Volume	14
Issue number	2
DOIs	https://doi.org/10.1023/A:1015178720344
State	Published - 1 Jan 2002

Keywords

Deformation method
Equivariant vector fields
Smooth normal forms

ASJC Scopus subject areas

Analysis

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title = "Equivariant Sternberg-Chen theorem",

abstract = "Smooth (C∞) vector fields with linear symmetries and anti-symmetries are considered. We prove that provided symmetry group is compact then a smooth conjugacy in Sternberg-Chen Theorem can be chosen symmetric.",

keywords = "Deformation method, Equivariant vector fields, Smooth normal forms",

author = "Belitskii, {G. R.} and Kopanskii, {A. Ya}",

note = "Funding Information: Partially supported by Israel Science Foundation.",

year = "2002",

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doi = "10.1023/A:1015178720344",

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T1 - Equivariant Sternberg-Chen theorem

AU - Belitskii, G. R.

AU - Kopanskii, A. Ya

N1 - Funding Information: Partially supported by Israel Science Foundation.

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Y1 - 2002/1/1

N2 - Smooth (C∞) vector fields with linear symmetries and anti-symmetries are considered. We prove that provided symmetry group is compact then a smooth conjugacy in Sternberg-Chen Theorem can be chosen symmetric.

AB - Smooth (C∞) vector fields with linear symmetries and anti-symmetries are considered. We prove that provided symmetry group is compact then a smooth conjugacy in Sternberg-Chen Theorem can be chosen symmetric.

KW - Deformation method

KW - Equivariant vector fields

KW - Smooth normal forms

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U2 - 10.1023/A:1015178720344

DO - 10.1023/A:1015178720344

M3 - Article

AN - SCOPUS:17044375721

SN - 1040-7294

VL - 14

SP - 349

EP - 367

JO - Journal of Dynamics and Differential Equations

JF - Journal of Dynamics and Differential Equations

IS - 2

ER -

Equivariant Sternberg-Chen theorem

Abstract

Keywords

ASJC Scopus subject areas

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