Classification of a class of systems of cubic ordinary differential equations

DOI10.1016/j.jde.2022.11.001OpenAlexW4309146045MaRDI QIDQ2101095

Satoshi Masaki

Publication date: 28 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.001

zbMATH Keywords

classification of systems of cubic ODEsclassification of systems of cubic PDEs

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) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (1)

Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension

Cites Work

• Cubic homogeneous polynomial centers
• Normal forms of planar polynomial differential systems
• Planar cubic polynomial differential systems with the maximum number of invariant straight lines
• On orbital topological equivalence of cubic ODEs in two-dimensional algebras
• On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension
• Solvable systems of two coupled first-order ODEs with homogeneous cubic polynomial right-hand sides
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