Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention \(2n\)

DOI10.1016/j.amc.2011.04.069zbMath1242.34069OpenAlexW1988468789MaRDI QIDQ555415

Jaume Llibre, Maurício Firmino Silva Lima

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.069

zbMATH Keywords

limit cycleperiodic orbitequilibrium pointcontinuous piecewise linear vector fielddiscontinuous piecewise linear vector fieldinvariant cylinder

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) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2 ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones ⋮ On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on \(\mathbb{R}^3\)

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