Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system

DOI10.1134/S001226612208002XOpenAlexW4312461937WikidataQ115248718 ScholiaQ115248718MaRDI QIDQ2082814

V. T. Borukhov

Publication date: 6 October 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226612208002x

zbMATH Keywords

polynomial Liénard systemcenter-focus problemmonodromic singular point

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conditions for polynomial Liénard centers
• An algebraic approach to the classification of centers in polynomial Liénard systems
• Center problem for several differential equations via Cherkas' method
• Center conditions for polynomial Liénard systems
• Generalized symmetry of the Liénard system
• Infinitesimal center problem on zero cycles and the composition conjecture
• Rational Liénard systems with a center and an isochronous center
• On the center-focus problem for the equation \(\frac{\mathrm{d}y}{\mathrm{d}x} + \Sigma_{i=1}^n a_i(x) y^i = 0\), \(0\leq x \leq 1\) where \(a_i\) are polynomials
• Centers and isochronous centers of Liénard systems
• On the analytic solvability of the problem of distinguishing between center and focus
• Algebraic geometry of the center-focus problem for Abel differential equations
• Planar Dynamical Systems
• The Center and Cyclicity Problems
• Symétrie et forme normale des centres et foyers dégénérés

This page was built for publication: Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system