scientific article; zbMATH DE number 7351944

zbMath1477.34035MaRDI QIDQ4990090

Jaume Llibre, Rebiha Benterki

Publication date: 28 May 2021

Full work available at URL: https://online.watsci.org/abstract_pdf/2021v28/v28n3a-pdf/1.pdf

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zbMATH Keywords

limit cyclesdiscontinuous piecewise linear differential systemsirreducible cubic curveslinear differential centers

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Degree theory for nonlinear operators (47H11) 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) Discontinuous ordinary differential equations (34A36)

Related Items (8)

Four limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a straight line ⋮ The limit cycles of a class of piecewise differential systems ⋮ The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves. II ⋮ Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Global properties of continuous piecewise linear vector fields. Part II: Simplest symmetric case in ℝ2
• Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve
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• Canonical Discontinuous Planar Piecewise Linear Systems

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