Time-reversible Hamiltonian vector fields with symplectic symmetries

DOI10.1007/s10884-004-4291-3zbMath1083.37045OpenAlexW2005236728MaRDI QIDQ1768364

Claudio A. Buzzi, Marco Antonio Teixeira

Publication date: 15 March 2005

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

Full work available at URL: https://doi.org/10.1007/s10884-004-4291-3

zbMATH Keywords

periodic orbitsnormal formHamiltonian systemsequilibrium pointsymplectic involutiontime-reversible systems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Symmetries, invariants of ordinary differential equations (34C14) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10)

Related Items

Bifurcations in Hamiltonian systems with a reflecting symmetry ⋮ Normal forms of \(\omega\)-Hamiltonian vector fields with symmetries ⋮ \(\omega\)-symplectic algebra and Hamiltonian vector fields ⋮ Normal forms of bireversible vector fields

Cites Work

• Unnamed Item
• The reversible umbilic bifurcation
• The Hamiltonian Hopf bifurcation
• A normally elliptic Hamiltonian bifurcation
• Singularities of vector fields
• Normal modes for nonlinear Hamiltonian systems
• Bifurcation of periodic orbits for non-positive definite hamiltonian systems
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Normal forms for Hamiltonian systems
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Reversible Diffeomorphisms and Flows
• Time-Reversibility and Particle Sedimentation