Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two

DOI10.1016/S0022-0396(02)00104-3zbMath1027.37030arXivmath/0210305OpenAlexW2023241986MaRDI QIDQ1874489

Jeroen S. W. Lamb, Igor Hoveijn, Roberts, Mark

Publication date: 25 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/0210305

zbMATH Keywords

normal formHamiltonian structureequivariancereversible systemcentralizer unfoldingtime-reversing symmetry

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two ⋮ Generalized Lyapunov–Schmidt Reduction Method and Normal Forms for the Study of Bifurcations of Periodic Points in Families of Reversible Diffeomorphisms ⋮ Normal linear stability of quasi-periodic tori ⋮ The Liapunov center theorem for a class of equivariant Hamiltonian systems ⋮ Periodic orbits in Hamiltonian systems with involutory symmetries ⋮ The classification of reversible-equivariant steady-state bifurcations on self-dual spaces ⋮ Reversible equivariant linear systems ⋮ The 1:1 resonance in Hamiltonian systems ⋮ Singularities on the boundary of the stability domain near 1:1-resonance ⋮ Reversible equivariant Hopf bifurcation ⋮ Reversible relative periodic orbits. ⋮ Normal forms of bireversible vector fields ⋮ Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hamiltonian Hopf bifurcation
• Normal forms and versal deformations of linear Hamiltonian systems
• Reversible linear reversible systems and their versal deformations
• The decomposition of a linear mapping
• Conjugacy classes in linear groups
• Linearization of reversible systems
• Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two
• Versal deformations and normal forms for reversible and Hamiltonian linear systems
• Reversible equivariant linear systems
• Versal deformations of elements of classical Jordan algebras
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Versal deformations of linear Hamiltonian systems
• Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group
• Versal unfoldings of equivariant linear Hamiltonian vector fields
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two