Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

DOI10.1016/j.aml.2022.108501OpenAlexW4308932362MaRDI QIDQ2106137

Victoriano Carmona, Fernando Fernández-Sánchez, Douglas Duarte Novaes

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12125

zbMATH Keywords

upper boundslimit cyclesPoincaré half-mapsKhovanskiĭ's theoryplanar piecewise differential linear systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Linear ordinary differential equations and systems (34A30) 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 (5)

On the Poincaré-Bendixson index theorem for a class of piecewise linear differential systems ⋮ Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region ⋮ A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness ⋮ Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line ⋮ Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems

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