A class of cubic systems with two centers or two foci

DOI10.1006/jmaa.1999.6630zbMath0986.34024OpenAlexW2027308910MaRDI QIDQ1972053

Dongming Wang, Zhengyi Lu, Lan-Sun Chen

Publication date: 28 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6630

zbMATH Keywords

centerfocusKukles system

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (10)

Existence of center for planar differential systems with impulsive perturbations ⋮ Simultaneity of centres in ℤ _q -equivariant systems ⋮ Bi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systems ⋮ Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system ⋮ Symmetric centers on planar cubic differential systems ⋮ Center conditions and bifurcation of limit cycles for a class of fifth degree systems ⋮ The criterion of the center-focus for a class of planar perturbed polynomial systems with (\(2n+1\))th degree ⋮ Bi-center problem and Hopf cyclicity of a cubic Liénard system ⋮ Simultaneity of centres in double-reversible planar differential systems ⋮ Isochronicity of bi-centers for symmetric quartic differential systems

Uses Software

• Maple

Cites Work

• On a class of cubic systems with two centers
• Mechanical manipulation for a class of differential systems
• On the conditions of Kukles for the existence of a Centre
• On centers of cubic systems
• On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
• Invariant algebraic curves and conditions for a centre
• The centres in the reduced Kukles system
• Unnamed Item
• Unnamed Item

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