Weak periodic solutions of x x 1 = 0 and the Harmonic balance method

Johanna Denise García-Saldaña, Armengol Gasull

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Resum

Abstract. We prove that the differential equation x''x 1 = 0 has continuous weak periodic solutions and compute their periods. Then, we use the Harmonic Balance Method until order six to approximate these periods and to illustrate how the accuracy of the method increases with the order. Our computations rely on the Grobner basis approach.
Idioma originalAnglès
RevistaJournal of Physics: Conference Series
Volum811
Estat de la publicacióPublicada - 2017

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