Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group

DOI10.1017/S0305004100071577zbMath0796.58047WikidataQ115336057 ScholiaQ115336057MaRDI QIDQ4277215

Michael Dellnitz, Ian Melbourne

Publication date: 24 February 1994

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

zbMATH Keywords

normal formsHamiltonian vector fieldssymplectic matrixequivariant matrix

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Compact Lie groups of differentiable transformations (57S15) Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two ⋮ Bifurcation of relative equilibria in mechanical systems with symmetry ⋮ Reversible equivariant linear systems ⋮ Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation ⋮ Reversible equivariant Hopf bifurcation

Cites Work

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• Normal forms and versal deformations of linear Hamiltonian systems
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• On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
• Some Theorems On Matrices With Real Quaternion Elements