Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics

DOI10.14232/EJQTDE.2021.1.69zbMath1488.34226OpenAlexW3201719864WikidataQ115238085 ScholiaQ115238085MaRDI QIDQ5016574

Jaume Llibre, Jeidy J. Jimenez, Rebiha Benterki

Publication date: 13 December 2021

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2021.1.69

zbMATH Keywords

limit cyclesdiscontinuous piecewise linear Hamiltonian systemsreducible cubic curves

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 (2)

Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves ⋮ The limit cycles of a class of piecewise differential systems

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