Evaluating cyclicity of cubic systems with algorithms of computational algebra

DOI10.3934/cpaa.2012.11.2023zbMath1280.34038OpenAlexW2326049473MaRDI QIDQ1948022

Viktor Levandovskyy, Gerhard Pfister, Valery G. Romanovski

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.2023

zbMATH Keywords

limit cyclesbifurcationcyclicitypolynomial systems of ordinary differential equations

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) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (7)

On integrability conditions and limit cycle bifurcations for polynomial systems ⋮ Cyclicity of some analytic maps ⋮ The center and cyclicity problems for some analytic maps ⋮ Asymptotics and stability of the delayed Duffing equation ⋮ Center cyclicity of a family of quartic polynomial differential system ⋮ Algebraic geometry of the center-focus problem for Abel differential equations ⋮ Cyclicity of some Liénard systems

Uses Software

• SINGULAR
• primdec

This page was built for publication: Evaluating cyclicity of cubic systems with algorithms of computational algebra