Hyperbolic Roussarie fields with degenerate quadratic part

DOI10.1070/RM9893zbMath1477.34056OpenAlexW3159544464WikidataQ115553513 ScholiaQ115553513MaRDI QIDQ5005195

N. G. Pavlova, Alexey O. Remizov

Publication date: 4 August 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9893

zbMATH Keywords

normal formsRoussarie vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities of vector fields, topological aspects (58K45)

Related Items (1)

Singularities of quasi-linear differential equations

Cites Work

• Completion of the classification of generic singularities of geodesic flows in two classes of metrics
• On the solution of the 33rd Palis–Pugh problem for gradient-like diffeomorphisms of a 2-sphere
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows
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