Persistent centers of complex systems

DOI10.1016/j.bulsci.2013.10.003zbMath1291.34061OpenAlexW2046557681MaRDI QIDQ2637614

Valery G. Romanovski, Xingwu Chen, Wei Nian Zhang

Publication date: 13 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.10.003

zbMATH Keywords

centerpersistent centerpolynomial system of ordinary differential equations

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) Ordinary differential equations in the complex domain (34M99)

Related Items (2)

Integrability conditions for complex kukles systems ⋮ On integrability and linearizability of persistent \(p:- q\) resonant systems

Uses Software

• SINGULAR
• primdec

Cites Work

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• Cyclicity versus center problem
• On persistent centers
• Integrability conditions for Lotka-Volterra planar complex quintic systems
• Formulas of values of singular point and the integrability conditions for a class of cubic system, \(M(3) \geq{} 7\)
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• A cubic Kolmogorov system with six limit cycles
• The Center and Cyclicity Problems
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\)

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