Limit cycles via higher order perturbations for some piecewise differential systems

DOI10.1016/j.physd.2018.01.007zbMath1390.34084OpenAlexW2790735095MaRDI QIDQ1640903

Claudio A. Buzzi, Joan Torregrosa, Maurício Firmino Silva Lima

Publication date: 14 June 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/164133

zbMATH Keywords

Liénard piecewise differential systemlimit cycle in Melnikov higher order perturbationnonsmooth differential system

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) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Limit Cycles Appearing From Piecewise Smooth Perturbations to a Reversible Nonlinear Center ⋮ On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems ⋮ Limit cycles bifurcating from piecewise quadratic systems separated by a straight line ⋮ Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\) ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications ⋮ Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

Cites Work

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