Unipotent normal forms for symplectic maps

DOI10.1016/0167-2789(93)90160-3zbMath0771.58040OpenAlexW1970511166MaRDI QIDQ1802116

Richard H. Cushman, Thomas J. Bridges

Publication date: 8 August 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90160-3

zbMATH Keywords

reductionnormal formsymplectic mapsnormal form symmetrynon-diagonalizable linear part

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

Freedom in minimal normal forms ⋮ Generalized Lyapunov–Schmidt Reduction Method and Normal Forms for the Study of Bifurcations of Periodic Points in Families of Reversible Diffeomorphisms ⋮ Nilpotent normal form for divergence-free vector fields and volume-preserving maps ⋮ Bifurcation of peroodic orbis for symplecit mappins ⋮ Instability and bifurcation near the symplectic 1 :4 resonance

Cites Work

• Unique normal forms: The nilpotent Hamiltonian case
• The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms
• Nonsemisimple 1?1 resonance at an equilibrium
• Generic Bifurcation of Periodic Points
• Introduction to Lie Algebras and Representation Theory
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