Unique normal forms for vector fields and Hamiltonians

DOI10.1016/0022-0396(89)90074-0zbMath0689.70005OpenAlexW2020003700MaRDI QIDQ582160

Alberto Baider

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90074-0

zbMATH Keywords

graded Lie algebrasequilibria of planar vector fields with semisimple linear partsplanar rotations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

• Unique normal forms for planar vector fields
• The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms
• On averaging, reduction, and symmetry in Hamiltonian systems
• Further reduction of the Takens-Bogdanov normal form
• On resonant non linearly coupled oscillators with two equal frequencies
• Singularities of vector fields
• Uniqueness and non-uniqueness of normal forms for vector fields
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