Algorithmic reduction of Poincaré-Dulac normal forms and Lie algebraic structure

DOI10.1023/A:1017902827929zbMath0991.37033arXivmath-ph/0102037MaRDI QIDQ5953678

Giuseppe Gaeta

Publication date: 27 January 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0102037

zbMATH Keywords

Lie algebraPoincaré renormalized forms

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Normal forms for dynamical systems (37G05)

Related Items (8)

Local simplification of first-order systems of ordinary differential equations of dimension two ⋮ POINCARÉ NORMAL FORMS AND SIMPLE COMPACT LIE GROUPS ⋮ Lie-Poincaré transformations and a reduction criterion in Landau theory ⋮ Non-quadratic additional conserved quantities in Birkhoff normal forms ⋮ Poincaré-like approach to Landau theory. I. General theory ⋮ Poincaré-like approach to Landau theory. II. Simplifying the Landau-deGennes potential for nematic liquid crystals ⋮ Normal forms of double Hopf oscillators with radial nonlinearities ⋮ Normal form theory and spectral sequences.

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