Two limit cycles for a class of discontinuous piecewise linear differential systems with two pieces

DOI10.33048/semi.2020.17.104zbMath1452.34001OpenAlexW3113638669MaRDI QIDQ2201014

Aziza Berbache

Publication date: 24 September 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.104

zbMATH Keywords

limit cyclesfirst integralsdiscontinuous piecewise linear differential systemslinear centers

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) Discontinuous ordinary differential equations (34A36) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Cites Work

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• Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
• Basic Algebraic Geometry 2
• A Simple Solution to the Braga–Mello Conjecture
• Canonical Discontinuous Planar Piecewise Linear Systems

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