References
- Barari , A. , Omidvar , M. , Ghotbi , A. R. and Ganji , D. D. 2008 . Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations . Acta Appl. Math. , 104 : 161 – 171 .
- Beléndez , A. , Hernández , A. , Beléndez , T. , Fernández , E. , Álvarez , M. L. and Neipp , C. 2007 . Application of He's homotopy perturbation method to the Duffing-harmonic oscillator . Int. J. Nonlinear Sci. Numer. Simul. , 8 : 79 – 88 .
- Beléndez , A. , Pascual , C. , Fernández , E. , Neipp , C. and Beléndez , T. 2008 . Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods . Phys. Scr. , 77 : 14 art. 065004
- Demirbag , S. A. , Kaya , M. O. and Zengin , F. O. 2009 . Application of modified He's variational method to nonlinear oscillators with discontinuities . Int. J. Nonlinear Sci. Numer. Simul. , 10 : 27 – 31 .
- Fesanghary , M. , Pirbodaghi , T. , Asghari , M. and Sojoudi , H. 2009 . A new analytical approximation to the Duffing-harmonic oscillator . Chaos Solitons Fractals , 42 ( 1 ) : 571 – 576 .
- He , J. H. 2007 . Variational approach for nonlinear oscillators . Chaos Solitons Fractals , 34 : 1430 – 1439 .
- He , J. H. and Lee , E. W.M. 2009 . New analytical methods for cleaning up the solution of nonlinear equations . Comput. Math. Appl. , 58 : 2081 – 2083 .
- Hu , H. 2006 . Solution of the Duffing-harmonic oscillator by an interation procedure . J. Sound Vib. , 298 : 446 – 452 .
- Hu , H. and Tang , J. H. 2006 . Solution of a Duffing-harmonic oscillator by the method of harmonic balance . J. Sound Vib. , 294 : 637 – 639 .
- Lim , C. W. and Bu , B. S. 2003 . A new approach to the Duffing-harmonic oscillator . Phys. Lett. A , 311 : 365 – 373 .
- Lim , C. W. , Wu , B. S. and Sun , W. P. 2006 . Higher accuracy analytical approximations to the Duffing-harmonic oscillator . J. Sound Vib. , 296 : 1039 – 1045 .
- Mickens , R. E. 2000 . Mathematical and numerical study of the Duffing-harmonic oscillator . J. Sound Vib. , 244 : 563 – 567 .
- Ozis , T. and Yildirim , A. 2007 . A comparative study of He's homotopy perturbation method for determining frequency–amplitude relation of a nonlinear oscillator with discontinuities . Int. J. Nonlinear Sci. Numer. Simul. , 8 : 243 – 248 .
- Özis , T. and Yildirim , A. 2007 . Determination of the frequency–amplitude relation for a Duffing-harmonic oscillator by the energy balance method . Comput. Math. Appl. , 54 : 1184 – 1187 .
- Tao , Z. L. 2008 . Frequency–amplitude relationship of the Duffing-harmonic oscillator . Topol. Methods Nonlinear Anal. , 31 : 279 – 285 .
- Tao , Z. L. 2008 . The frequency–amplitude relationship for some nonlinear oscillators with discontinuity by He's variational method . Phys. Scr. , 78 : 015004
- Thompsen , J. J. 2003 . “ Vibrations and Stability ” . Berlin : Springer .
- Tiwari , S. B. , Nageswara Rao , B. , Shivakumar Swamy , N. , Sai , K. S. and Nataraja , H. R. 2005 . Analytical study on a Duffing-harmonic oscillator . J. Sound Vib. , 285 : 1217 – 1222 .
- Wu , B. S. , Sun , W. P. and Lim , C. W. 2007 . Analytical approximations to the double-well Duffing oscillator in large amplitude oscillations . J. Sound Vib. , 307 : 953 – 960 .
- Zengin , F. O. , Kaya , M. O. and Demirbag , S. A. 2008 . Application of parameter-expansion method to nonlinear oscillators with discontinuities . Int. J. Nonlinear Sci. Numer. Simul. , 9 : 267 – 270 .
- Zhang , H. L. , Xu , Y. G. and Chang , J. R. 2009 . Application of He's energy balance method to a nonlinear oscillator with discontinuity . Int. J. Nonlinear Sci. Numer. Simul. , 10 : 207 – 214 .