Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Reversible-equivariant systems and matricial equations

Full text
Author(s):
Teixeira, Marco A. [1] ; Martins, Ricardo M. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Dept Matemat, Inst Matemat Estat & Computacao Cient, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Anais da Academia Brasileira de Ciências; v. 83, n. 2, p. 375-390, JUN 2011.
Web of Science Citations: 2
Abstract

This paper uses tools in group theory and symbolic computing to classify the representations of finite groups with order lower than, or equal to 9 that can be derived from the study of local reversible-equivariant vector fields in <img border=0 width=32 height=32 src="../../../../img/revistas/aabc/v83n2/carr.jpg" align=absmiddle>4 . The results are obtained by solving matricial equations. In particular, we exhibit the involutions used in a local study of reversible-equivariant vector fields. Based on such approach we present, for each element in this class, a simplified Belitskii normal form. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 07/05215-4 - The Hamiltonian structure of normal forms for elliptic equilibria of reversible vector fields in 4D and 6D
Grantee:Ricardo Miranda Martins
Support Opportunities: Scholarships in Brazil - Doctorate