References
- H. Pashaei, D.D. Ganji, M. Akbarzade, Applications of the energy balance method for strongly nonlinear oscillators, Progress in Electromagnetic Research M 2 (2008) 47-56 https://doi.org/10.2528/PIERM08031602
- M. Akbarzade, D.D. Ganji, H. Pashaei, Progress in Electromagnetic Research C 3 (2008) 57-66
- M. Rafei, D.D. Ganji, H. Daniali, H. Pashaei, The variational iteration method for nonlinear oscillators with discontinuities, Journal of Sound and Vibration 305 (2007) 416-620
- S.S. Ganji, D.D. Ganji, Z.Z. Ganji, S. Karimpour, Periodic solution for strongly nonlinear vibration system by He's energy balance method, Acta Applicandae Mathematicae (2008), doi:10.1007/s10440-008-9283-6
- J.H. He, Preliminary report on the energy balance for nonlinear oscillations, Mechanics Research Communications 29 (2-3) (2002) 107-111 https://doi.org/10.1016/S0093-6413(02)00237-9
- P. Hagedorn, Nonlinear Oscillations translated by Wolfram Stadler, Clarendon Press, Oxford, 1981
- J.H. He, Determination of limit cycles for strongly nonlinear oscillators, Physical Review Letters 90 (17) (2003) 174301 https://doi.org/10.1103/PhysRevLett.90.174301
- D.D. Ganji, N. Ranjbar Malidarreh, M. Akbarzade, Comparsion of energy balance period with exact period for arising nonlinear oscillator equations (He's energy balance period for nonlinear oscillators with and without discontinuities), Acta Applicandae Mathematicae (2008), doi:10.1007/s10440-008-9315-2
- H. Babazadeh, D.D. Ganji, M. Akbarzade, He'e energy balance method to evaluate the effect of amplitude on the natural frequency in nonlinear vibration systems, Progress in Electromagnetic Research M 4 (2008) 143-154 https://doi.org/10.2528/PIERM08071004
- J.H. He, Varational iteration method-some recent results and new interpretations, Journal of Computational and Applid Mathematics 207 (2007) 3-17 https://doi.org/10.1016/j.cam.2006.07.009
- J.H. He, Variational approach for nonlinear oscillators, Chaos, Solitons and Fractals 34 (2007) 1430-1439 https://doi.org/10.1016/j.chaos.2006.10.026
- D.D. Ganji, H. Tari, H. Babazadeh, The application of He's variational iteration method to nonlinear equations arising in heat transfer, Physics Letters A 363 (3) (2007) 213-217 https://doi.org/10.1016/j.physleta.2006.11.005
- M. Rafei, H. Daniali, D.D. Ganji, Varational iteration method for solving the epidemic model and the prey and predator problem, Applied Mathematics and Computaion 186 (2) (2007) 1701-1709 https://doi.org/10.1016/j.amc.2006.08.077
- D.D. Ganji, A. Sadighi, Application of He's homotopy-pertubation method to nonlinear cuopled systems of reaction-diffusion equations, International Journal of Non-linear Science and Numerical Simulation 7 (4) (2006) 411-418 https://doi.org/10.1515/IJNSNS.2006.7.4.411
- L. Xu, Variational approach to solution of nonlinear dispersive K(m,n) equation, Chaos, Solitons and Fractals 37 (1) (2008) 137-143 https://doi.org/10.1016/j.chaos.2006.08.016
- D.D. Ganji, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Physics Letters A 335 (4-5) (2006) 337-341 https://doi.org/10.1016/j.physleta.2006.02.056
- M. Rafei, D.D. Ganji, H.R.M. Daniali, H. Pashaei, Application of homotopy perturbation method to the RLW generalized modified Bussinesq equations, Physics Letters A 364 (2007) 1-6 https://doi.org/10.1016/j.physleta.2006.11.047
- M. Rafei, D.D. Ganji, H. Daniali, Solution of the epidemic model by homotopy perturbation method, Applied Mathematics and Computaion 187 (2) (2007) 1056-1062 https://doi.org/10.1016/j.amc.2006.09.019
- D.D. Ganji, M. Rafei, Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method, Physics Letters A 356 (2) (2006) 131-137 https://doi.org/10.1016/j.physleta.2006.03.039
- J.H. He, the homotopy perturbation method for nonlinear oscillators with discontinuities, Applied Mathematics and Computation 151 (1) (2004) 287-292 https://doi.org/10.1016/S0096-3003(03)00341-2
- J.H. He, A coupling method of a homotopy technique and a perturbation technique for nonlinear problems, International Journal of Non-linear Mechanics 35 (1) (2000) 37-43 https://doi.org/10.1016/S0020-7462(98)00085-7
- J.H. He, Modified Lindsted-Poincare methods for some strongly nonlinear oscillations. Part III: Double series expansion, International Journal of Nonlinear Science and Numerical Simulation 2 (4) (2001) 317-320 https://doi.org/10.1515/IJNSNS.2001.2.4.317
- J.H. He, A review on some new recently developed nonlinear analytical techniques, International Journal of Non-linear Science and Numerical Simulation 1 (1) (2000) 51-70 https://doi.org/10.1515/IJNSNS.2000.1.1.51
- J.H. He, Some asymptotic methods for strongly nonlinear equations, International Journal of Modern Physics B 20 (10) (2006) 1141-1199 https://doi.org/10.1142/S0217979206033796
- J.H. He, Non-Perturbative Methods for Strongly Nonlinear Problems, Dissertation, de-Verlag im Internet GmbH, Berlin, 2006
- Shih-Shin Chen, Cha'o-Kuang Chen, Application of the differential transformation method to the free vibrations of strongly non-linear oscillators, Nonlinear Analysis: Real World Applications 10 (2009) 881-888 https://doi.org/10.1016/j.nonrwa.2005.06.010
- M.N. Hamden, N.H. Shabaneh, On the large amplitude free vibrations of a restrained uniform beam carrying an intermediate lumped mass, Journal of Sound and Vibration 199 (1997) 711-736
- S.S. Rao, Mechanical Vibrations Book, Fourth ed., 2006, ISBN: 978-964-9585-5-0