The integrability conditions for two cubic vector fields

DOI10.1007/BF02754169zbMath0995.34022OpenAlexW2058942761MaRDI QIDQ5926582

N. L. Shcheglova, V. G. Romanovskii

Publication date: 15 October 2002

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

Full work available at URL: https://doi.org/10.1007/bf02754169

zbMATH Keywords

cubic systemintegrabilityplanar polynomial differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)

Cites Work

• Formulas of values of singular point and the integrability conditions for a class of cubic system, \(M(3) \geq{} 7\)
• The problem of center for resonant singular points of polynomial vector fields
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