Center conditions for a lopsided quintic polynomial vector field

DOI10.1007/BF02969410zbMath1050.34035MaRDI QIDQ1431475

Nazim Salih, Roland Pons

Publication date: 9 June 2004

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

centervector fieldreturn map

Mathematics Subject Classification ID

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

Related Items (4)

The isochronous center for Kukles homogeneous systems of degree eight ⋮ CENTERS FOR THE KUKLES HOMOGENEOUS SYSTEMS WITH EVEN DEGREE ⋮ The isochronous centers for Kukles homogeneous system of degree nine ⋮ Analytic Integrability of Two Lopsided Systems

Cites Work

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• Keeping track of limit cycles
• Quadratic systems with center and their perturbations
• Center conditions for a lopsided quartic polynomial vector field
• An algorithmic approach to the center problem for homogeneous perturbations
• A survey of quadratic systems
• On the conditions of Kukles for the existence of a Centre
• On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
• The number of limit cycles of certain polynomial differential equations
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• On a certain generalization of Bautin's theorem
• Successive derivatives of a first return map, application to the study of quadratic vector fields

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