Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\)

DOI10.1016/j.cam.2018.01.028zbMath1390.34083OpenAlexW2794362831MaRDI QIDQ1743970

Jaume Llibre, Bruno Rodrigues de Freitas, João C. R. Medrado

Publication date: 16 April 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.01.028

zbMATH Keywords

limit cycleMathematicaaveraging theorynon-smooth differential systempiecewise linear differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

Bifurcation methods of periodic orbits for piecewise smooth systems ⋮ On the birth and death of algebraic limit cycles in quadratic differential systems ⋮ Bifurcations from a center at infinity in 3D piecewise linear systems with two zones ⋮ Hopf-like bifurcations and asymptotic stability in a class of 3D piecewise linear systems with applications ⋮ Bifurcation analysis of 3D-PWS systems with two transversal switching boundaries: a case study in power electronics ⋮ Hopf bifurcation at infinity in 3D relay systems

Uses Software

• Mathematica

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