On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in \(\mathbb{R}^4\)

DOI10.1016/j.jde.2020.08.034zbMath1452.37065OpenAlexW3087815123MaRDI QIDQ2003964

Jeroen S. W. Lamb, Jiazhong Yang, Ricardo Miranda Martins, Maurício Firmino Silva Lima, Marco Antonio Teixeira

Publication date: 13 October 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.08.034

zbMATH Keywords

normal formHamiltonian systemtime-reversal symmetry

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

Characterizing orbital-reversibility through normal forms

Cites Work

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• Formal equivalence between normal forms of reversible and Hamiltonian dynamical systems
• On the similarity of Hamiltonian and reversible vector fields in 4D
• Time-reversal symmetry in dynamical systems: a survey
• Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
• Reversible systems
• Finitely determined singularities of formal vector fields
• Conditions for local (reversing) symmetries in dynamical systems
• On finite determinacy of formal vector fields
• Normal forms for certain singularities of vectorfields
• Reversible Diffeomorphisms and Flows

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