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Author ID: belendez.augusto Recent zbMATH articles by "Beléndez, Augusto"
Published as: Beléndez, A.; Beléndez, Augusto
Documents Indexed: 43 Publications since 2003
Co-Authors: 25 Co-Authors with 42 Joint Publications
115 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 354 times in 194 Documents Cited by Year
Application of the homotopy perturbation method to the nonlinear pendulum. Zbl 1119.70017
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
42
2007
Application of a modified He’s homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator. Zbl 1209.65083
Beléndez, A.; Pascual, C.; Gallego, S.; Ortuño, M.; Neipp, C.
37
2007
Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators. Zbl 1142.65055
Beléndez, A.; Beléndez, T.; Márquez, A.; Neipp, C.
28
2008
Application of a modified He’s homotopy perturbation method to obtain higher-order approximations to a nonlinear oscillator with discontinuities. Zbl 1167.34327
Beléndez, A.; Pascual, C.; Ortuño, M.; Beléndez, T.; Gallego, S.
26
2009
Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He’s homotopy perturbation method. Zbl 1154.65349
Beléndez, A.; Pascual, C.; Beléndez, T.; Hernández, A.
21
2009
An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method. Zbl 1233.70008
Beléndez, A.; Méndez, D. I.; Fernández, E.; Marini, S.; Pascual, I.
20
2009
An accurate closed-form approximate solution for the quintic Duffing oscillator equation. Zbl 1201.34019
Beléndez, A.; Bernabeu, G.; Francés, J.; Méndez, D. I.; Marini, S.
15
2010
Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators. Zbl 1223.34055
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Méndez, D. I.; Hernández, A.
12
2008
Cubication of conservative nonlinear oscillators. Zbl 1257.65048
Beléndez, Augusto; Álvarez, Mariela L.; Fernández, Elena; Pascual, Inmaculada
11
2009
Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation. Zbl 1258.70039
Beléndez, A.; Gimeno, E.; Beléndez, T.; Hernández, A.
11
2009
Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities. Zbl 1371.34057
Beléndez, A.; Beléndez, T.; Martínez, F. J.; Pascual, C.; Alvarez, M. L.; Arribas, E.
10
2016
Nonlinear oscillator with discontinuity by generalized harmonic balance method. Zbl 1189.65159
Beléndez, A.; Gimeno, E.; Alvarez, M. L.; Méndez, D. I.
10
2009
Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable. Zbl 1145.70012
Beléndez, A.; Gimeno, E.; Fernández, E.; Méndez, D. I.; Alvarez, M. L.
9
2008
Approximate expressions for the period of a simple pendulum using a Taylor series expansion. Zbl 1315.70007
Beléndez, Augusto; Arribas, Enrique; Márquez, Andrés; Ortuño, Manuel; Gallego, Sergi
9
2011
Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He’s homotopy perturbation method. Zbl 1220.70022
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
8
2008
Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring. Zbl 1227.78007
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I.
8
2009
Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He’s homotopy methods. Zbl 1175.70023
Beléndez, A.; Pascual, C.; Fernández, E.; Neipp, C.; Beléndez, T.
7
2008
Approximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method. Zbl 1197.65105
Beléndez, A.; Beléndez, T.; Neipp, C.; Hernández, A.; Álvarez, M. L.
7
2009
Comments on “Investigation of the properties of the period for the nonlinear oscillator \(\ddot x+(1+\dot x{}^2)x=0\)”. Zbl 1242.34056
Beléndez, A.; Beléndez, T.; Hernández, A.; Gallego, S.; Ortuño, M.; Neipp, C.
6
2007
Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions. Zbl 1251.34002
Beléndez, A.; Alvarez, M. L.; Francés, J.; Bleda, S.; Beléndez, T.; Nájera, A.; Arribas, E.
6
2012
Approximate solutions for the nonlinear pendulum equation using a rational harmonic representation. Zbl 1268.70005
Beléndez, Augusto; Arribas, Enrique; Ortuño, Manuel; Gallego, Sergi; Márquez Ruiz, Andres; Pascual, Inmaculada
6
2012
Higher order analytical approximate solutions to the nonlinear pendulum by He’s homotopy method. Zbl 1201.70018
Beléndez, A.; Pascual, C.; Álvarez, M. L.; Méndez, D. I.; Yebra, M. S.; Hernández, A.
5
2009
Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method. Zbl 1203.34011
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Yebra, M. S.; Méndez, D. I.
5
2010
Notes on “Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms”. Zbl 1235.34110
Beléndez, A.; Arribas, E.; Francés, J.; Pascual, I.
4
2011
Asymptotic representations of the period for the nonlinear oscillator. (Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\).) Zbl 1241.70031
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
4
2007
Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator. Zbl 1189.65160
Beléndez, Augusto
4
2009
Letters and comments. Higher accurate approximate solutions for the simple pendulum in terms of elementary functions. Zbl 1373.70018
Beléndez, Augusto; Francés, Jorge; Ortuño, Manuel; Gallego, Sergi; Bernabeu, José Guillermo
3
2010
Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method. Zbl 1170.34321
Beléndez, A.; Méndez, D. I.; Alvarez, M. L.; Pascual, C.; Bélendez, T.
3
2009
Linearization of conservative nonlinear oscillators. Zbl 1159.70016
Beléndez, A.; Álvarez, M. L.; Fernández, E.; Pascual, I.
3
2009
Closed-form exact solutions for the unforced quintic nonlinear oscillator. Zbl 1401.34002
Beléndez, Augusto; Arribas, Enrique; Beléndez, Tarsicio; Pascual, Carolina; Gimeno, Encarnación; Álvarez, Mariela L.
3
2017
Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. Zbl 1234.78003
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I.
2
2009
Erratum to “Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\)”. Zbl 1242.70040
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
2
2007
Nonlinear oscillator with power-form elastic-term: Fourier series expansion of the exact solution. Zbl 1333.34056
Beléndez, Augusto; Francés, Jorge; Beléndez, Tarsicio; Bleda, Sergio; Pascual, Carolina; Arribas, Enrique
2
2015
A novel rational harmonic balance approach for periodic solutions of conservative nonlinear oscillators. Zbl 1401.34038
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Gallego, S.; Ortuño, M.; Méndez, D. I.
2
2009
An analysis of the classical Doppler effect. Zbl 1108.76355
Neipp, C.; Hernández, A.; Rodes, J. J.; Márquez, A.; Beléndez, T.; Beléndez, A.
1
2003
Comments on ‘A finite extensibility nonlinear oscillator’. Zbl 1387.65060
Beléndez, A.; Arribas, E.; Francés, J.; Pascual, I.
1
2012
Erratum to: “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. Zbl 1470.78001
Beléndez, Augusto; Schneider, Klaus R.
1
2019
Erratum to: “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. Zbl 1470.78001
Beléndez, Augusto; Schneider, Klaus R.
1
2019
Closed-form exact solutions for the unforced quintic nonlinear oscillator. Zbl 1401.34002
Beléndez, Augusto; Arribas, Enrique; Beléndez, Tarsicio; Pascual, Carolina; Gimeno, Encarnación; Álvarez, Mariela L.
3
2017
Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities. Zbl 1371.34057
Beléndez, A.; Beléndez, T.; Martínez, F. J.; Pascual, C.; Alvarez, M. L.; Arribas, E.
10
2016
Nonlinear oscillator with power-form elastic-term: Fourier series expansion of the exact solution. Zbl 1333.34056
Beléndez, Augusto; Francés, Jorge; Beléndez, Tarsicio; Bleda, Sergio; Pascual, Carolina; Arribas, Enrique
2
2015
Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions. Zbl 1251.34002
Beléndez, A.; Alvarez, M. L.; Francés, J.; Bleda, S.; Beléndez, T.; Nájera, A.; Arribas, E.
6
2012
Approximate solutions for the nonlinear pendulum equation using a rational harmonic representation. Zbl 1268.70005
Beléndez, Augusto; Arribas, Enrique; Ortuño, Manuel; Gallego, Sergi; Márquez Ruiz, Andres; Pascual, Inmaculada
6
2012
Comments on ‘A finite extensibility nonlinear oscillator’. Zbl 1387.65060
Beléndez, A.; Arribas, E.; Francés, J.; Pascual, I.
1
2012
Approximate expressions for the period of a simple pendulum using a Taylor series expansion. Zbl 1315.70007
Beléndez, Augusto; Arribas, Enrique; Márquez, Andrés; Ortuño, Manuel; Gallego, Sergi
9
2011
Notes on “Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms”. Zbl 1235.34110
Beléndez, A.; Arribas, E.; Francés, J.; Pascual, I.
4
2011
An accurate closed-form approximate solution for the quintic Duffing oscillator equation. Zbl 1201.34019
Beléndez, A.; Bernabeu, G.; Francés, J.; Méndez, D. I.; Marini, S.
15
2010
Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method. Zbl 1203.34011
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Yebra, M. S.; Méndez, D. I.
5
2010
Letters and comments. Higher accurate approximate solutions for the simple pendulum in terms of elementary functions. Zbl 1373.70018
Beléndez, Augusto; Francés, Jorge; Ortuño, Manuel; Gallego, Sergi; Bernabeu, José Guillermo
3
2010
Application of a modified He’s homotopy perturbation method to obtain higher-order approximations to a nonlinear oscillator with discontinuities. Zbl 1167.34327
Beléndez, A.; Pascual, C.; Ortuño, M.; Beléndez, T.; Gallego, S.
26
2009
Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He’s homotopy perturbation method. Zbl 1154.65349
Beléndez, A.; Pascual, C.; Beléndez, T.; Hernández, A.
21
2009
An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method. Zbl 1233.70008
Beléndez, A.; Méndez, D. I.; Fernández, E.; Marini, S.; Pascual, I.
20
2009
Cubication of conservative nonlinear oscillators. Zbl 1257.65048
Beléndez, Augusto; Álvarez, Mariela L.; Fernández, Elena; Pascual, Inmaculada
11
2009
Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation. Zbl 1258.70039
Beléndez, A.; Gimeno, E.; Beléndez, T.; Hernández, A.
11
2009
Nonlinear oscillator with discontinuity by generalized harmonic balance method. Zbl 1189.65159
Beléndez, A.; Gimeno, E.; Alvarez, M. L.; Méndez, D. I.
10
2009
Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring. Zbl 1227.78007
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I.
8
2009
Approximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method. Zbl 1197.65105
Beléndez, A.; Beléndez, T.; Neipp, C.; Hernández, A.; Álvarez, M. L.
7
2009
Higher order analytical approximate solutions to the nonlinear pendulum by He’s homotopy method. Zbl 1201.70018
Beléndez, A.; Pascual, C.; Álvarez, M. L.; Méndez, D. I.; Yebra, M. S.; Hernández, A.
5
2009
Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator. Zbl 1189.65160
Beléndez, Augusto
4
2009
Approximate analytical solutions for the relativistic oscillator using a linearized harmonic balance method. Zbl 1170.34321
Beléndez, A.; Méndez, D. I.; Alvarez, M. L.; Pascual, C.; Bélendez, T.
3
2009
Linearization of conservative nonlinear oscillators. Zbl 1159.70016
Beléndez, A.; Álvarez, M. L.; Fernández, E.; Pascual, I.
3
2009
Considerations on “Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring”. Zbl 1234.78003
Beléndez, A.; Fernández, E.; Rodes, J. J.; Fuentes, R.; Pascual, I.
2
2009
A novel rational harmonic balance approach for periodic solutions of conservative nonlinear oscillators. Zbl 1401.34038
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Gallego, S.; Ortuño, M.; Méndez, D. I.
2
2009
Application of He’s homotopy perturbation method to conservative truly nonlinear oscillators. Zbl 1142.65055
Beléndez, A.; Beléndez, T.; Márquez, A.; Neipp, C.
28
2008
Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators. Zbl 1223.34055
Beléndez, A.; Gimeno, E.; Álvarez, M. L.; Méndez, D. I.; Hernández, A.
12
2008
Accurate approximate solution to nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable. Zbl 1145.70012
Beléndez, A.; Gimeno, E.; Fernández, E.; Méndez, D. I.; Alvarez, M. L.
9
2008
Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He’s homotopy perturbation method. Zbl 1220.70022
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
8
2008
Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He’s homotopy methods. Zbl 1175.70023
Beléndez, A.; Pascual, C.; Fernández, E.; Neipp, C.; Beléndez, T.
7
2008
Application of the homotopy perturbation method to the nonlinear pendulum. Zbl 1119.70017
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
42
2007
Application of a modified He’s homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator. Zbl 1209.65083
Beléndez, A.; Pascual, C.; Gallego, S.; Ortuño, M.; Neipp, C.
37
2007
Comments on “Investigation of the properties of the period for the nonlinear oscillator \(\ddot x+(1+\dot x{}^2)x=0\)”. Zbl 1242.34056
Beléndez, A.; Beléndez, T.; Hernández, A.; Gallego, S.; Ortuño, M.; Neipp, C.
6
2007
Asymptotic representations of the period for the nonlinear oscillator. (Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\).) Zbl 1241.70031
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
4
2007
Erratum to “Asymptotic representations of the period for the nonlinear oscillator \(\ddot x+(1+\dot x^2)x=0\)”. Zbl 1242.70040
Beléndez, A.; Hernández, A.; Beléndez, T.; Neipp, C.; Márquez, A.
2
2007
An analysis of the classical Doppler effect. Zbl 1108.76355
Neipp, C.; Hernández, A.; Rodes, J. J.; Márquez, A.; Beléndez, T.; Beléndez, A.
1
2003
all top 5

Cited by 297 Authors

17 Beléndez, Augusto
10 Beléndez, Tarsicio
8 Álvarez, Mariela L.
8 Elías-Zúñiga, Alex
8 Yıldırım, Ahmet
7 Arribas, Enrique
7 Pascual, Carolina
6 Ganji, Davood Domiri
6 Khan, Yasir
6 Kovacic, Ivana
6 Martínez-Romero, Oscar
5 Ganji, S. S.
5 Kaya, Metin Orhan
4 Aminikhah, Hossein
4 Askari, Hassan Randjbar
4 Biazar, Jafar
4 Eslami, Mostafa
4 Francés, Jorge
4 Gimeno, Encarnación
4 Haque, B. M. Ikramul
4 Méndez, D. I.
4 Rakaric, Zvonko
4 Ramos, Juan I.
4 Saadatnia, Zia
4 Shamsul Alam, Mohammad
4 Vázquez-Leal, Héctor
3 Cveticanin, Livija
3 Demirbağ, S. Altay
3 Diaz-Sanchez, Alejandro
3 Filobello-Nino, Uriel A.
3 Herişanu, Nicolae
3 Hinrichsen, Peter F.
3 Jimenez-Fernandez, Victor Manuel
3 Kalamiyazdi, Mohammad
3 Marinca, Vasile
3 Pascual, Inmaculada
3 Pereyra-Díaz, Domitilo
3 Pérez-Sesma, A.
3 Saifur Rahman, M.
3 Wu, Boying
2 Akbarzade, Mehdi
2 Bleda, Sergio
2 Bota, Constantin
2 Dehghan Takht Fooladi, Mehdi
2 Durmaz, Seher
2 Gallego, Sergi
2 Gasull, Armengol
2 Geng, Fazhan
2 Ghorbani, Asghar
2 González-Gaxiola, Oswaldo
2 He, Ji-Huan
2 Herrera-May, Agustin L.
2 Hosen, Md. Alal
2 Huerta-Chua, Jesus
2 Jamil, Muhammad Kamran
2 Johannessen, Kim
2 Ju, Peijun
2 Kamrul Hasan, M.
2 Kofané, Timoléon Crépin
2 Kontomaris, Stylianos-Vasileios
2 Lai, Siu Kai
2 Li, Xiuying
2 Malamou, Anna
2 Momani, Shaher M.
2 Olvera Trejo, Daniel
2 Ortuño, Manuel
2 Ozis, Turgut
2 Ramos, Higinio
2 Rodríguez, Ciro A.
2 Santiago, José Antonio
2 Sarmiento-Reyes, Arturo
2 Sun, YouHong
2 Tao, Zhaoling
2 Yamgoué, Serge Bruno
2 Yazdi, M. Kalami
2 Yu, Yongping
2 Zengin, F. Özen
1 Abdennadher, Moez
1 Abdulganiy, Ridwanulahi Iyanda
1 Ahmadian, Mohammad Taghi
1 Ahmadpoor, Mohammad Ali
1 Akçı, Ceren
1 Alam Khan, Najeeb
1 Ali, Syed Anwar
1 Alnasr, Modi H.
1 Altay Demirbağ, Sezgin
1 Amin, Md. Ruhul
1 Ara, Asmat
1 Asifuzzaman, Md.
1 Awrejcewicz, Jan
1 Benhammouda, Brahim
1 Bernabeu, G.
1 Bhattacharjee, Jayanta K.
1 Bhattacharjee, Shayak
1 Big-Alabo, Akuro
1 Boschi, Martina
1 Boyaci, Hakan
1 Bundău, Olivia
1 Buzzi, Claudio Aguinaldo
1 Cai, Ping
...and 197 more Authors
all top 5

Cited in 60 Serials

29 Computers & Mathematics with Applications
13 European Journal of Physics
13 Applied Mathematics and Computation
9 Chaos, Solitons and Fractals
9 International Journal of Applied and Computational Mathematics
8 Mathematical Problems in Engineering
7 Applied Mathematical Modelling
7 Nonlinear Analysis. Real World Applications
6 International Journal of Modern Physics B
6 Applied Mathematics Letters
6 Communications in Nonlinear Science and Numerical Simulation
5 Mathematical and Computer Modelling
4 Physics Letters. A
4 International Journal of Computer Mathematics
4 Journal of Applied Mathematics
4 International Journal of Differential Equations
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Discrete Dynamics in Nature and Society
2 Mathematical Methods in the Applied Sciences
2 Meccanica
2 Numerical Methods for Partial Differential Equations
2 Computational Mathematics and Modeling
2 Computational and Applied Mathematics
2 Journal of the Egyptian Mathematical Society
2 Abstract and Applied Analysis
2 Mathematical Modelling and Analysis
1 Acta Mechanica
1 Computer Physics Communications
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Journal of Differential Equations
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Mechanics Research Communications
1 Revista de la Unión Matemática Argentina
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 Journal of Nonlinear Science
1 Fractals
1 Bulletin des Sciences Mathématiques
1 Journal of Mathematical Chemistry
1 Nonlinear Dynamics
1 European Journal of Mechanics. A. Solids
1 Qualitative Theory of Dynamical Systems
1 Journal of Applied Mathematics and Computing
1 Hacettepe Journal of Mathematics and Statistics
1 Thai Journal of Mathematics
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Chinese Journal of Physics (Taipei)
1 Asian-European Journal of Mathematics
1 Journal of Nonlinear Science and Applications
1 Advances in Mathematical Physics
1 GEM - International Journal on Geomathematics
1 Analysis and Mathematical Physics
1 Journal of Applied Nonlinear Dynamics
1 Journal of Computational Methods in Physics
1 Applied Mathematics and Nonlinear Sciences
1 Journal of Siberian Federal University. Mathematics & Physics
1 AIMS Mathematics

Citations by Year