Beléndez, Augusto; Arribas, Enrique; Beléndez, Tarsicio; Pascual, Carolina; Gimeno, Encarnación; Álvarez, Mariela L. Closed-form exact solutions for the unforced quintic nonlinear oscillator. (English) Zbl 1401.34002 Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017). MSC: 34A05 34C15 34C25 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017; Zbl 1401.34002) Full Text: DOI
Beléndez, A.; Beléndez, T.; Martínez, F. J.; Pascual, C.; Alvarez, M. L.; Arribas, E. Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities. (English) Zbl 1371.34057 Nonlinear Dyn. 86, No. 3, 1687-1700 (2016). MSC: 34C25 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Nonlinear Dyn. 86, No. 3, 1687--1700 (2016; Zbl 1371.34057) Full Text: DOI Link
Beléndez, A.; Alvarez, M. L.; Francés, J.; Bleda, S.; Beléndez, T.; Nájera, A.; Arribas, E. Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions. (English) Zbl 1251.34002 J. Appl. Math. 2012, Article ID 286290, 16 p. (2012). MSC: 34A05 34C25 PDFBibTeX XMLCite \textit{A. Beléndez} et al., J. Appl. Math. 2012, Article ID 286290, 16 p. (2012; Zbl 1251.34002) Full Text: DOI
Beléndez, A.; Arribas, E.; Francés, J.; Pascual, I. Notes on “Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms”. (English) Zbl 1235.34110 Math. Comput. Modelling 54, No. 11-12, 3204-3209 (2011). MSC: 34C15 34A45 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Math. Comput. Modelling 54, No. 11--12, 3204--3209 (2011; Zbl 1235.34110) Full Text: DOI
Beléndez, A.; Bernabeu, G.; Francés, J.; Méndez, D. I.; Marini, S. An accurate closed-form approximate solution for the quintic Duffing oscillator equation. (English) Zbl 1201.34019 Math. Comput. Modelling 52, No. 3-4, 637-641 (2010). MSC: 34A45 34C25 65L99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Math. Comput. Modelling 52, No. 3--4, 637--641 (2010; Zbl 1201.34019) Full Text: DOI Link
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Yebra, M. S.; Méndez, D. I. Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method. (English) Zbl 1203.34011 Int. J. Comput. Math. 87, No. 7, 1497-1511 (2010). MSC: 34A45 34C15 34C25 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Int. J. Comput. Math. 87, No. 7, 1497--1511 (2010; Zbl 1203.34011) Full Text: DOI Link
Beléndez, A.; Gimeno, E.; Alvarez, M. L.; Méndez, D. I. Nonlinear oscillator with discontinuity by generalized harmonic balance method. (English) Zbl 1189.65159 Comput. Math. Appl. 58, No. 11-12, 2117-2123 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Comput. Math. Appl. 58, No. 11--12, 2117--2123 (2009; Zbl 1189.65159) Full Text: DOI Link