Sufficient and necessary center conditions for the Poincaré systems \(P(2, 2n) (n \leq 5)\)

DOI10.1155/2011/762762zbMath1235.65106OpenAlexW1483228049WikidataQ58690511 ScholiaQ58690511MaRDI QIDQ410829

Zhengyi Lu, Jinya Xu

Publication date: 4 April 2012

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

Full work available at URL: https://doi.org/10.1155/2011/762762

zbMATH Keywords

\texttt{Maple}

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

On the composition center for a class of rigid system ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS

Uses Software

• Maple

Cites Work

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• The reversibility and the center problem
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• The generalized center problem of degenerate resonant singular point
• A general class of centers for the Poincaré problem
• An elimination method for polynomial systems
• Conditions for a centre in a simple class of cubic systems
• On Poincaré's fourth and fifth examples of limit cycles at infinity
• Center conditions for a simple class of quintic systems
• Centers with degenerate infinity and their commutators.
• Computing center conditions for vector fields with constant angular speed
• On some open problems in planar differential systems and Hilbert's 16th problem
• The center problem via averaging method
• On the center conditions of certain cubic systems
• On the Poincaré–Lyapunov constants and the Poincare series
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• ON INTEGRABILITY OF DIFFERENTIAL EQUATIONS DEFINED BY THE SUM OF HOMOGENEOUS VECTOR FIELDS WITH DEGENERATE INFINITY

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