The isochronous centers for Kukles homogeneous system of degree nine

DOI10.1016/j.aml.2021.107177zbMath1485.34098OpenAlexW3136978110MaRDI QIDQ2233254

Changjian Liu, Lina Guo

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107177

zbMATH Keywords

Gröbner basisisochronous centerKukles homogeneous systemperiod Abel constants

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)

The isochronous center for Kukles homogeneous systems of degree eight

Cites Work

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• The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems
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• Conditions for the existence of a center for the Kukles homogeneous systems
• Center conditions for a lopsided quartic polynomial vector field
• Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities
• CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE
• Centers for the Kukles homogeneous systems with odd degree

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