The generalized center problem of degenerate resonant singular point

DOI10.1016/j.bulsci.2007.10.003zbMath1159.34027OpenAlexW2001626398MaRDI QIDQ1004532

Gui Weihua, Qi Zhang, Yi-rong Liu

Publication date: 11 March 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.10.003

zbMATH Keywords

integrabilitydegenerate resonant singular pointgeneralized center condition

Mathematics Subject Classification ID

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

Related Items (7)

Analytic integrability inside a family of degenerate centers ⋮ ON THE DEGENERATE CENTER PROBLEM ⋮ Integrability of fractional order generalized systems with \(p:-q\) resonance ⋮ Limit cycles in a class of switching system with a degenerate singular point ⋮ Sufficient and necessary center conditions for the Poincaré systems \(P(2, 2n) (n \leq 5)\) ⋮ Center Conditions and Bifurcation of Limit Cycles Created from a Class of Second-Order ODEs ⋮ Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems

Cites Work

• Center problem for several differential equations via Cherkas' method
• The problem of center for resonant singular points of polynomial vector fields
• A new algorithm for the computation of the Lyapunov constants for some degenerated critical points.
• Integrability and generalized center problem of resonant singular point
• Unnamed Item

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