Lienard system Melnikov’s approach corrections of polynomial type second kind Chebyshev’s polynomial Un extended generalized oscillator model adaptive filter level curves number of limit cycles
Issue Date:
6-Dec-2022
Publisher:
MDPI
Citation:
Kyurkchiev, N.; Iliev, A. On a Hypothetical Model with Second Kind Chebyshev’s Polynomial–Correction: Type of Limit Cycles, Simulations, and Possible Applications. Algorithms 2022, 15, 462. https://doi.org/10.3390/a15120462
Series/Report no.:
Algorithms;15, 462
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.
