Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line

DOI10.1142/s0218127423501663zbMATH Open1546.34044MaRDI QIDQ6538993

Louiza Baymout, Rebiha Benterki, Jaume Llibre

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

isochronous centerlimit cyclediscontinuous piecewise differential systemcubic Hamiltonian differential system

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) Dynamics induced by flows and semiflows (37C10) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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On double homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder

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