Abstract
In this article, we explore a new extended Lienard-type planar system with “corrections” of the second kind Chebyshev’s polynomial Un. The number and type of limit cycles are also studied. The discussion on the y(t)—component of the solution of the Lienard system is connected to searching for the solution of the synthesis of filters and electrical circuits. Numerical experiments, depicting our outcomes using CAS MATHEMATICA, are presented.
Funder
Science and Education for Smart Growth Operational Program
Subject
Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science
Reference47 articles.
1. Mathematical problems (M.Newton Transl.);Hilbert;Bull. Am. Math. Soc.,1901
2. On the stability of a center for time–periodic perturbation;Melnikov;Trudy Moskovskogo Matematicheskogo Obshchestva,1963
3. Etude des oscillations entretenues;Lienard;Revue Generale de e’Electricite,1828
4. Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems;Blows;SIAM Rev.,1994
5. Perko, L. (1991). Differential Equations and Dynamical Systems, Springer.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献