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

Johanna Denise García-Saldaña; Armengol Gasull

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

Johanna Denise García-Saldaña, Armengol Gasull

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

Resumen

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 original	Inglés
Publicación	Journal of Physics: Conference Series
Volumen	811
Estado	Publicada - 2017

Acceder al documento

https://ddd.uab.cat/record/182486

Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones
Llibre Salo, J. (Investigador/a principal), Torregrosa i Arús, J. (Co-Investigador/a Principal), Buzzi, C. A. (Colaborador/a), Candido , M. R. (Colaborador/a), Carvalho, Y. R. (Colaborador/a), Caubergh , M. M. (Colaborador/a), Cornelio, J. L. (Colaborador/a), Cousillas, G. (Colaborador/a), Cufi Cabre, C. (Colaborador/a), Diz Pita, É. (Colaborador/a), Ferragut Amengual, A. M. (Colaborador/a), Ferragut Amengual, A. (Colaborador/a), Geyer, A. (Colaborador/a), Giacomini, H. J. (Colaborador/a), Gouveia, L. F. (Colaborador/a), Jiménez Ruíz, J. J. (Colaborador/a), Lembarki, F. (Colaborador/a), Martínez, Y. P. (Colaborador/a), Pérez González, S. (Colaborador/a), Ramírez, V. (Colaborador/a), Saleta Reig, O. (Colaborador/a), Sanchez Sanchez, I. (Colaborador/a), Santos, R. A. T. (Colaborador/a), Schlomiuk, D. (Colaborador/a), Valls Angles, C. (Colaborador/a), Vulpe, N. (Colaborador/a), Zhang, X. (Colaborador/a), da Cruz, L. P. C. (Colaborador/a), de Almedia Silva Menezes, L. (Colaborador/a), Artes Ferragud, J. C. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi, C. (Investigador/a) & Soler Villanueva, J. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO), Fondo Europeo de Desarrollo Regional (FEDER)
30/12/16 → 31/12/20
Proyecto: Proyectos y Ayudas de Investigación

Citar esto

@article{99c469b3d3504d49afc67418429a8f06,

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

abstract = "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.",

author = "Garc{\'i}a-Salda{\~n}a, \{Johanna Denise\} and Armengol Gasull",

year = "2017",

language = "English",

volume = "811",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

}

TY - JOUR

T1 - Weak periodic solutions of x x 1 = 0 and the Harmonic balance method

AU - García-Saldaña, Johanna Denise

AU - Gasull, Armengol

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

M3 - Article

SN - 1742-6588

VL - 811

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

ER -

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

Resumen

Acceder al documento

Huella

Proyectos

Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones

Citar esto