Center conditions for nilpotent cubic systems using the Cherkas method
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DOI: 10.1016/j.matcom.2016.04.002
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References listed on IDEAS
- Wu, Yusen & Li, Peiluan & Chen, Haibo, 2015. "Calculation of singular point quantities at infinity for a type of polynomial differential systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 153-173.
- Llibre, Jaume & Pantazi, Chara, 2016. "Limit cycles bifurcating from a degenerate center," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 120(C), pages 1-11.
- Feng, Li & Yirong, Liu & Hongwei, Li, 2011. "Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(12), pages 2595-2607.
- Chavarriga, J. & Giné, J. & Sorolla, J., 2002. "Analytic integrability of a class of nilpotent cubic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(6), pages 489-495.
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Keywords
Nilpotent center problem; Analytic integrability; Cherkas method; Decomposition in prime ideals; Takens normal form;All these keywords.
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