POINCARÉ NORMAL FORMS AND SIMPLE COMPACT LIE GROUPS

DOI10.1142/S0217751X02011382zbMath1027.37031arXivmath-ph/0106016WikidataQ115246409 ScholiaQ115246409MaRDI QIDQ4783344

Giuseppe Gaeta

Publication date: 8 May 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0106016

zbMATH Keywords

classificationPoincaré-Dulac normal formssimple compact Lie algebrassystems with zero linear part

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Applications of Lie groups to the sciences; explicit representations (22E70) Normal forms for dynamical systems (37G05)

Cites Work

• On differential equations in normal form
• Symmetries and convergence of normalizing transformations
• Reduction of Poincaré normal forms
• Convergence of normal form transformations: The Role of symmetries
• Poincaré normal and renormalized forms
• Normal forms of reversible dynamical systems
• On convergent normal from transformations in presence of symmetries
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• Local bifurcations ink-symmetric dynamical systems
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• Algorithmic reduction of Poincaré-Dulac normal forms and Lie algebraic structure

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