Bifurcation of limit cycles from an \(n\)-dimensional linear center inside a class of piecewise linear differential systems

DOI10.1016/j.na.2011.08.013zbMath1235.34092OpenAlexW2061864751MaRDI QIDQ644186

Jaume Llibre, Pedro Toniol Cardin, Tiago de Carvalho

Publication date: 3 November 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/150540

zbMATH Keywords

limit cyclesbifurcationcentercontrol systemsaveraging methodpiecewise linear differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (7)

Limit cycles for two classes of control piecewise linear differential systems ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Bifurcation of limit cycles of a class of piecewise linear differential systems in \(\mathfrak R^4\) with three zones ⋮ Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention \(2n\) ⋮ A Class of Three-Dimensional Quadratic Systems with Ten Limit Cycles ⋮ ON THE NUMBER OF LIMIT CYCLES FOR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ²ⁿ WITH TWO ZONES ⋮ Limit cycles bifurcations for a class of 3-dimensional quadratic systems

Cites Work

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• ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY
• BIFURCATION OF LIMIT CYCLES FROM A FOUR-DIMENSIONAL CENTER IN CONTROL SYSTEMS
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