Versal unfoldings of equivariant linear Hamiltonian vector fields

DOI10.1017/S0305004100071826zbMath0789.70011MaRDI QIDQ4287015

Ian Melbourne

Publication date: 12 April 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesGalin's theoreminfinitesimally symplectic matrices

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two ⋮ Reversible equivariant linear systems ⋮ Reversible equivariant Hopf bifurcation

Cites Work

• Unnamed Item
• The Hamiltonian Hopf bifurcation
• Normal forms and versal deformations of linear Hamiltonian systems
• Singularities and groups in bifurcation theory. Volume II
• Periodic solutions near equilibria of symmetric Hamiltonian systems
• Generic bifurcation of Hamiltonian vector fields with symmetry
• ON MATRICES DEPENDING ON PARAMETERS
• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

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