Limit cycles of discontinuous piecewise polynomial vector fields

DOI10.1016/j.jmaa.2016.11.048zbMath1382.37048OpenAlexW2556436452MaRDI QIDQ504873

Tiago de Carvalho, Jaume Llibre, Durval José Tonon

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/182510

zbMATH Keywords

limit cyclecyclicityaveraging theorypiecewise smooth vector field

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) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

Limit cycles appearing from the perturbation of differential systems with multiple switching curves ⋮ On the number of limit cycles bifurcating from the linear center with an algebraic switching curve ⋮ On the number of limit cycles bifurcating from the linear center with a cubic switching curve ⋮ Bifurcation of limit cycles by perturbing piecewise non-Hamiltonian systems with nonlinear switching manifold ⋮ Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\)

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