TWO GENERAL CENTRE PRODUCING SYSTEMS FOR THE POINCARÉ PROBLEM

DOI10.11948/2015026zbMath1451.34032OpenAlexW2141720587MaRDI QIDQ5121208

G. R. Nicklason

Publication date: 11 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2015026

zbMATH Keywords

Gröbner basishypergeometric functionLyapunov coefficientscentre-focus problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (1)

Homogeneous-like generalized cubic systems

Cites Work

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• On general algebraic mechanisms for producing centers in polynomial differential systems
• Computing centre conditions for certain cubic systems
• Cubic systems and Abel equations
• The Sibirsky component of the center variety of polynomial differential systems.
• Center conditions and integrable forms for the Poincaré problem
• On the number of algebraically independent Poincaré-Liapunov constants
• A new approach to the computation of the Lyapunov constants
• Experimental results for the Poincaré center problem
• Center conditions, compositions of polynomials and moments on algebraic curves
• A class of integrable polynomial vector fields

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