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

ON THE SIMILARITY OF HAMILTONIAN AND REVERSIBLE VECTOR FIELDS IN 4D

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Author(s):
Martins, Ricardo Miranda [1] ; Teixeira, Marco Antonio [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Dept Math, IMECC, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 10, n. 4, p. 1257-1266, JUL 2011.
Web of Science Citations: 3
Abstract

We study the existence of formal conjugacies between reversible vector fields and Hamiltonian vector fields in 4D around a generic singularity. We construct conjugacies for a generic class of reversible vector fields. We also show that reversible vector fields are formally orbitally equivalent to polynomial decoupled Hamiltonian vector fields. The main tool we employ is the normal form theory. (AU)

FAPESP's process: 07/06896-5 - Geometry of Control, Dynamical and Stocastics Systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 07/05215-4 - Estrutura hamiltoniana de campos reversiveis em torno de pontos de equilibrio elipticos em 4d e 6d.
Grantee:Ricardo Miranda Martins
Support Opportunities: Scholarships in Brazil - Doctorate