On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in \(\mathbb{R}^4\)
type: Item
instance of: scholarly article
title: On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in \(\mathbb{R}^4\)
zbMATH Open document ID: 1452.37065
author: J. S. W. Lamb
author: Ricardo Miranda Martins
author: Jiazhong Yang
author: Maurício Firmino Silva Lima
author: Marco A. Teixeira
published in: Journal of Differential Equations
publication date: 2020-10-13T00:00:00Z
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37C15
zbMATH DE Number: 7260139
zbMATH Keywords: normal form
zbMATH Keywords: time-reversal symmetry
zbMATH Keywords: Hamiltonian system
MaRDI profile type: Publication
full work available at URL: j.jde.2020.08.034
OpenAlex ID: W3087815123
cites work: Q3808900
cites work: Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
cites work: Q4508327
cites work: Reversible Diffeomorphisms and Flows
cites work: Q4136233
cites work: Q4849844
cites work: Finitely determined singularities of formal vector fields
cites work: On finite determinacy of formal vector fields
cites work: Time-reversal symmetry in dynamical systems: a survey
cites work: Conditions for local (reversing) symmetries in dynamical systems
cites work: Formal equivalence between normal forms of reversible and Hamiltonian dynamical systems
cites work: On the similarity of Hamiltonian and reversible vector fields in 4D
cites work: Q4311169
cites work: Reversible systems
cites work: Normal forms for certain singularities of vectorfields
DOI: 10.1016/J.JDE.2020.08.034
description: scientific article; zbMATH DE number 7260139