Families of periodic orbits in resonant reversible systems

DOI10.1007/s00574-009-0025-9zbMath1189.34076OpenAlexW1998672987MaRDI QIDQ1041287

Maurício Firmino Silva Lima, Marco Antonio Teixeira

Publication date: 2 December 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-009-0025-9

zbMATH Keywords

normal formperiodic orbitresonancereversibilityequilibrium point

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (5)

Normal form theory for reversible equivariant vector fields ⋮ Homoclinic orbits in degenerate reversible-equivariant systems in \(\mathbb R^6\) ⋮ Bifurcations of symmetric periodic orbits via Floer homology ⋮ Normal forms of \(\omega\)-Hamiltonian vector fields with symmetries ⋮ Normal forms of bireversible vector fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-reversal symmetry in dynamical systems: a survey
• A general reduction method for periodic solutions in conservative and reversible systems
• Degenerate resonances and branching of periodic orbits
• Normal modes for nonlinear Hamiltonian systems
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Water waves for small surface tension: an approach via normal form
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Reversible Diffeomorphisms and Flows
• Bifurcations of Symmetric Periodic Orbits Near Equilibrium in Reversible Systems
• Time-Reversibility and Particle Sedimentation
• The center-focus problem and reversibility

This page was built for publication: Families of periodic orbits in resonant reversible systems