Existence of limit cycles for some generalisation of the Liénard equations: the relativistic and the prescribed curvature cases.

DOI10.14232/ejqtde.2020.1.2zbMath1449.34104OpenAlexW2999156790MaRDI QIDQ5218068

Gabriele Villari, Timoteo Carletti

Publication date: 26 February 2020

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2020.1.2

zbMATH Keywords

periodic orbitslimit cyclesLiénard relativistic equationLiénard curvature equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (4)

Existence of harmonic solutions for some generalisation of the non-autonomous Liénard equations ⋮ On Lyapunov-type inequalities for (n+ 1)st order nonlinear differential equations with the antiperiodic boundary conditions ⋮ Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers ⋮ On the qualitative behavior of a class of generalized Liénard planar systems

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