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A NOTE ON THE EXTENDED LIENARD SYSTEM WITH DICKSON POLYNOMIALS OF THE THIRD KIND AS CORRECTIONS. THE LEVEL CURVES

Vesselin Kyurkchiev, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev

Abstract


In this article a model with Dickson polynomials of the third kind ascorrections in the Lienard differential system is presented.The level curves are studied. The model is also considered in the light of Melnikov’sapproach. Numerical examples, illustrating our results using CAS MATHEMATICAare given.

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