Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2

DOI10.1016/j.amc.2014.11.029zbMath1328.34028OpenAlexW2089806631MaRDI QIDQ902794

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

Publication date: 4 January 2016

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

Full work available at URL: http://ddd.uab.cat/record/145305

zbMATH Keywords

periodic orbitslimit cyclesaveraging methodisochronous centerspolynomial vector fields

Mathematics Subject Classification ID

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

Related Items (6)

Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory ⋮ Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 ⋮ On a class of polynomial differential systems of degree 4: phase portraits and limit cycles ⋮ Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type ⋮ Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two ⋮ Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type

Uses Software

• Maple
• Mathematica

Cites Work

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