Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields

DOI10.1080/14689367.2020.1722064zbMath1479.34057arXiv1905.06427OpenAlexW2945947346MaRDI QIDQ3388735

Durval José Tonon, Jaume Llibre, João Lopes Cardoso, Douglas Duarte Novaes

Publication date: 6 May 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06427

zbMATH Keywords

Filippov systemsnonsmooth differential systemsliding limit cyclescrossing limit cyclespiecewise linear differentialsystem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items

Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory, Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system, Hopf-like bifurcations and asymptotic stability in a class of 3D piecewise linear systems with applications, On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set, Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres, Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

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