The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line

DOI10.1063/5.0023055zbMath1470.34085OpenAlexW3148988080MaRDI QIDQ4989096

Claudia Valls, Marina Esteban, Jaume Llibre

Publication date: 20 May 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://ddd.uab.cat/record/239770

zbMATH Keywords

isochronous centerlimit cyclesdiscontinous 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) Discontinuous ordinary differential equations (34A36)

Related Items (7)

On Hilbert’s 16th Problem for Some Discontinuous Piecewise Differential Systems ⋮ Four limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a straight line ⋮ Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes ⋮ The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The number of limit cycles for regularized piecewise polynomial systems is unbounded

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