Sternberg theorem for equivariant Hamiltonian vector fields

G. R. Belitskii; A. Ya Kopanskii

doi:10.1016/S0362-546X(01)00562-4

Sternberg theorem for equivariant Hamiltonian vector fields

G. R. Belitskii, A. Ya Kopanskii

Department of Mathematics

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

4 Scopus citations

Abstract

Linear symmetries and anti-symmetries of smooth hamiltonian vector fields were considered. A hamiltonian equivariant version of Sternberg Theorem was proved. A smooth conjugacy in Sternberg Theorem could be chosen canonical and symmetric, provided that the symmetry group was compact.

Original language	English
Pages (from-to)	4491-4499
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	7
DOIs	https://doi.org/10.1016/S0362-546X(01)00562-4
State	Published - 1 Aug 2001

Keywords

Equivariant vector fields
Hamiltonian vector fields
Smooth normal forms

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00562-4

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title = "Sternberg theorem for equivariant Hamiltonian vector fields",

abstract = "Linear symmetries and anti-symmetries of smooth hamiltonian vector fields were considered. A hamiltonian equivariant version of Sternberg Theorem was proved. A smooth conjugacy in Sternberg Theorem could be chosen canonical and symmetric, provided that the symmetry group was compact.",

keywords = "Equivariant vector fields, Hamiltonian vector fields, Smooth normal forms",

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

year = "2001",

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T1 - Sternberg theorem for equivariant Hamiltonian vector fields

AU - Belitskii, G. R.

AU - Kopanskii, A. Ya

PY - 2001/8/1

Y1 - 2001/8/1

N2 - Linear symmetries and anti-symmetries of smooth hamiltonian vector fields were considered. A hamiltonian equivariant version of Sternberg Theorem was proved. A smooth conjugacy in Sternberg Theorem could be chosen canonical and symmetric, provided that the symmetry group was compact.

AB - Linear symmetries and anti-symmetries of smooth hamiltonian vector fields were considered. A hamiltonian equivariant version of Sternberg Theorem was proved. A smooth conjugacy in Sternberg Theorem could be chosen canonical and symmetric, provided that the symmetry group was compact.

KW - Equivariant vector fields

KW - Hamiltonian vector fields

KW - Smooth normal forms

UR - http://www.scopus.com/inward/record.url?scp=0035425282&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00562-4

DO - 10.1016/S0362-546X(01)00562-4

M3 - Article

AN - SCOPUS:0035425282

SN - 0362-546X

VL - 47

SP - 4491

EP - 4499

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7

ER -

Sternberg theorem for equivariant Hamiltonian vector fields

Abstract

Keywords

ASJC Scopus subject areas

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