Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2

DOI10.1016/j.amc.2015.10.079zbMath1410.34097OpenAlexW2187628737MaRDI QIDQ668790

Jaume Llibre, Jaime R. de Moraes, Bruno D. Lopes

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/172210

zbMATH Keywords

limit cycleaveraging methodpolynomial vector fieldweight-homogeneous differential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Classification and counting of planar quasi-homogeneous differential systems through their weight vectors

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcations of limit cycles in a \(Z_6\)-equivariant planar vector field of degree 7
• Higher order limit cycle bifurcations from non-degenerate centers
• On the centers of the weight-homogeneous polynomial vector fields on the plane
• Limit cycles of differential equations
• Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
• Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems
• Averaging methods for finding periodic orbits via Brouwer degree.
• Mathematical problems for the next century
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Qualitative theory of planar differential systems
• Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
• Averaging methods in nonlinear dynamical systems

This page was built for publication: Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2