Complete transversal and formal normal forms of germs of vector fields

DOI10.5269/bspm.46354MaRDI QIDQ6194673

Unnamed Author, Percy Fernández-Sánchez

Publication date: 16 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

zbMATH Keywords

vector fieldnormal formcomplete transversal

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

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• Singularities of vector fields
• Multidimensional formal Takens normal form
• Divergence of the reduction to the multidimensional nilpotent Takens normal form
• The analytic classification of plane branches
• Complete transversals and the classification of singularities
• Feuilletages holomorphes singuliers à holonomie résoluble
• Complete transversals of symmetric vector fields

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