On limit cycles surrounding a singular point

DOI10.1007/S12591-012-0136-4zbMath1278.34030OpenAlexW2024706410MaRDI QIDQ691346

Valery A. Gaiko

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-012-0136-4

zbMATH Keywords

bifurcationlimit cycleHilbert's sixteenth problem

Mathematics Subject Classification ID

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

Related Items (6)

Limit cycles of multi-parameter polynomial dynamical systems ⋮ Global Dynamics in the Leslie–Gower Model with the Allee Effect ⋮ On the Classical Lorenz System ⋮ Bifurcation analysis of the Topp model ⋮ Global bifurcation analysis of generalized Liénard polynomial dynamical system ⋮ Unnamed Item

Cites Work

• Mathematical problems for the next century
• Limit-cycles and rotated vector fields
• Centennial History of Hilbert's 16th Problem
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