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GEGENBAUER POLYNOMIALS AS CORRECTION IN THE LIENARD PLANAR SYSTEM: MELNIKOV’S APPROACH

Vesselin Kyurkchiev, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev

Abstract


In this article a hypothetical oscillator model with Gegenbauer poly-nomials as corrections in the Lienard differential system is presented.The model is considered in the light of Melnikov’s approach.Numerical examples, illustrating our results using CAS MATHEMATICA are given.

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