Two-dimensional homogeneous cubic systems: classification and normal forms. VI

DOI10.1134/S1063454120030048zbMath1460.34045OpenAlexW4285666430MaRDI QIDQ2227895

A. S. Chermnykh, V. V. Basov

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120030048

zbMATH Keywords

normal formcanonical formhomogeneous cubic system

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)

Cites Work

• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Two-dimensional homogeneous cubic systems: classification and normal forms. II
• Two-dimensional homogeneous cubic systems: classification and normal forms. IV
• Two-dimensional homogeneous cubic systems: classifications and normal forms. V
• Two-dimensional homogeneous cubic systems: classification and normal forms. I
• Two-dimensional homogeneous cubic systems: classification and normal forms. III
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