Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems

DOI10.1016/j.na.2011.06.051zbMath1232.34047OpenAlexW2012694298MaRDI QIDQ640199

Jaume Llibre, Enrique Ponce, Javier Ros

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150450

zbMATH Keywords

limit cyclespiecewise linear differential systemsymmetric periodic orbitsharmonic balance

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)

Related Items

Bifurcation of limit cycles of a class of piecewise linear differential systems in \(\mathfrak R^4\) with three zones, Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance, Bifurcation of periodic orbits of a three-dimensional piecewise smooth system, Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+ 2)–dimension, Hopf bifurcation at infinity in 3D relay systems

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