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Pàgina inicial > Articles > Articles publicats > Weak periodic solutions of x x 1 = 0 and the Harmonic balance method |
Data: | 2017 |
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. |
Ajuts: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2016-77278-P |
Nota: | MURPHYS2016 |
Nota: | Agraïments: The first author is supported by FONDECYT Postdoctoral fellowship 3150131/2015 and was supported by the grant FPU AP2009-1189. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Publicat a: | Journal of physics, Vol. 811 (2017) , p. 12003, ISSN 1742-6596 |
Postprint 11 p, 1.1 MB |