Beléndez, Augusto; Schneider, Klaus R. Erratum to: “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. (English) Zbl 1470.78001 Phys. Lett., A 383, No. 11, 1214 (2019). MSC: 78A35 70K75 78A30 34G20 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} and \textit{K. R. Schneider}, Phys. Lett., A 383, No. 11, 1214 (2019; Zbl 1470.78001) Full Text: DOI
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, Augusto; Francés, Jorge; Beléndez, Tarsicio; Bleda, Sergio; Pascual, Carolina; Arribas, Enrique Nonlinear oscillator with power-form elastic-term: Fourier series expansion of the exact solution. (English) Zbl 1333.34056 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 134-148 (2015). MSC: 34C15 34A45 34A05 34C25 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 134--148 (2015; Zbl 1333.34056) Full Text: DOI Link
Beléndez, A.; Arribas, E.; Pascual, C.; Beléndez, T.; Alvarez, M. L.; Hernández, A. Exact and approximate solutions for the anti-symmetric quadratic truly nonlinear oscillator. (English) Zbl 1338.34077 Appl. Math. Comput. 246, 355-364 (2014). MSC: 34C15 65L99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Appl. Math. Comput. 246, 355--364 (2014; Zbl 1338.34077) Full Text: DOI Link
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.; 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.; Álvarez, M. L.; Gallego, S.; Ortuño, M.; Méndez, D. I. A novel rational harmonic balance approach for periodic solutions of conservative nonlinear oscillators. (English) Zbl 1401.34038 Int. J. Nonlinear Sci. Numer. Simul. 10, No. 1, 13-26 (2009). MSC: 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Int. J. Nonlinear Sci. Numer. Simul. 10, No. 1, 13--26 (2009; Zbl 1401.34038) Full Text: DOI
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I. Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. (English) Zbl 1234.78003 Phys. Lett., A 373, No. 46, 4264-4265 (2009). MSC: 78A35 70K75 78A30 34G20 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Phys. Lett., A 373, No. 46, 4264--4265 (2009; Zbl 1234.78003) Full Text: DOI Link
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I. Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring. (English) Zbl 1227.78007 Phys. Lett., A 373, No. 7, 735-740 (2009); erratum ibid. 383, No. 11, 1214 (2019). MSC: 78A35 70K75 78A30 34G20 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Phys. Lett., A 373, No. 7, 735--740 (2009; Zbl 1227.78007) Full Text: DOI Link
Beléndez, Augusto Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator. (English) Zbl 1189.65160 Comput. Math. Appl. 58, No. 11-12, 2267-2273 (2009). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{A. Beléndez}, Comput. Math. Appl. 58, No. 11--12, 2267--2273 (2009; Zbl 1189.65160) Full Text: DOI
Beléndez, Augusto; Álvarez, Mariela L.; Fernández, Elena; Pascual, Inmaculada Cubication of conservative nonlinear oscillators. (English) Zbl 1257.65048 Eur. J. Phys. 30, No. 5, 973-981 (2009). MSC: 65L99 34C15 65D32 70K99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Eur. J. Phys. 30, No. 5, 973--981 (2009; Zbl 1257.65048) Full Text: DOI Link
Beléndez, A.; Méndez, D. I.; Alvarez, M. L.; Pascual, C.; Bélendez, T. Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method. (English) Zbl 1170.34321 Int. J. Mod. Phys. B 23, No. 4, 521-536 (2009). MSC: 34C15 70H40 70K99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Int. J. Mod. Phys. B 23, No. 4, 521--536 (2009; Zbl 1170.34321) Full Text: DOI
Beléndez, A.; Pascual, C.; Ortuño, M.; Beléndez, T.; Gallego, S. Application of a modified He’s homotopy perturbation method to obtain higher-order approximations to a nonlinear oscillator with discontinuities. (English) Zbl 1167.34327 Nonlinear Anal., Real World Appl. 10, No. 2, 601-610 (2009). MSC: 34C15 65L99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 601--610 (2009; Zbl 1167.34327) Full Text: DOI Link
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Méndez, D. I.; Hernández, A. Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators. (English) Zbl 1223.34055 Phys. Lett., A 372, No. 39, 6047-6052 (2008). MSC: 34C15 70K20 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Phys. Lett., A 372, No. 39, 6047--6052 (2008; Zbl 1223.34055) Full Text: DOI Link
Beléndez, A.; Beléndez, T.; Márquez, A.; Neipp, C. Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators. (English) Zbl 1142.65055 Chaos Solitons Fractals 37, No. 3, 770-780 (2008). MSC: 65L05 34A34 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Chaos Solitons Fractals 37, No. 3, 770--780 (2008; Zbl 1142.65055) Full Text: DOI Link
Beléndez, A.; Beléndez, T.; Hernández, A.; Gallego, S.; Ortuño, M.; Neipp, C. Comments on “Investigation of the properties of the period for the nonlinear oscillator \(\ddot x+(1+\dot x{}^2)x=0\)”. (English) Zbl 1242.34056 J. Sound Vib. 303, No. 3-5, 925-930 (2007). MSC: 34C15 70K99 PDFBibTeX XMLCite \textit{A. Beléndez} et al., J. Sound Vib. 303, No. 3--5, 925--930 (2007; Zbl 1242.34056) Full Text: DOI
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A. Erratum to “Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\)”. (English) Zbl 1242.70040 J. Sound Vib. 301, No. 1-2, 427 (2007). MSC: 70K25 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., J. Sound Vib. 301, No. 1--2, 427 (2007; Zbl 1242.70040) Full Text: DOI
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A. Asymptotic representations of the period for the nonlinear oscillator. (Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\).) (English) Zbl 1241.70031 J. Sound Vib. 299, No. 1-2, 403-408 (2007); erratum ibid. 301, No. 1-2, 427 (2007). MSC: 70K25 34C15 PDFBibTeX XMLCite \textit{A. Beléndez} et al., J. Sound Vib. 299, No. 1--2, 403--408 (2007; Zbl 1241.70031) Full Text: DOI