Analytic integrability of a class of nilpotent cubic systems

DOI10.1016/S0378-4754(01)00432-3zbMath1012.34024OpenAlexW2083919681MaRDI QIDQ1614043

Jaume Giné, Jordi Sorolla, Javier Chavarriga

Publication date: 3 September 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00432-3

zbMATH Keywords

isolated singular pointanalytic integrabilitynilpotent cubic systems

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)

Related Items (3)

Center conditions for nilpotent cubic systems using the Cherkas method ⋮ Reversible nilpotent centers with cubic homogeneous nonlinearities ⋮ A note on analytic integrability of planar vector fields

Cites Work

• Versal deformations of singular points of vector fields on a plane
• Singularities of vector fields on the plane
• Singularities of vector fields
• Local integrability for nilpotent critical point
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Integrable systems in the plane with center type linear part
• Symétrie et forme normale des centres et foyers dégénérés

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