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

We study the problem of existence of periodic solutions for some generalisations of the relativistic Liénard equation \begin{equation*} \frac{d}{dt}\frac{\dot{x}}{\sqrt{1-\dot{x}^{2}}}+\hat{f}(x,\dot{x})\dot{x}+g(x)=0 , \end{equation*} and the prescribed curvature Liénard equation \begin{equation*}...

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Bibliographic Details
Main Authors: Timoteo Carletti, Gabriele Villari
Format: Article
Language:English
Published: University of Szeged 2020-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7640