Comments on "investigation of the properties of the period for the nonlinear oscillator over(x, ̈) + (1 + over(x, ̇)2) x = 0"

Journal of Sound and Vibration

Volumn 303, Issue 3-5, 2007, Pages 925-930

  Belendez A ^a   Belendez T ^a   Hernandez A ^a   Gallego, S ^a   Ortuno M ^a   Neipp, C ^a  

^a UNIVERSITY OF ALICANTE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; DIFFERENTIAL EQUATIONS; HARMONIC GENERATION; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

ANGULAR FREQUENCIES; HARMONIC BALANCE METHODS; NONLINEAR OSCILLATORS; OSCILLATION AMPLITUDES;

OSCILLATORS (MECHANICAL);

EID: 34247232695     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.02.005     Document Type: Note

References (10)

1. 2) x = 0. Journal of Sound and Vibration 283 (2005) 475-477
2. 2) x = 0. Journal of Sound and Vibration 292 (2006) 1031-1035
3. Amore P., Raya A., and Fernández F.M. Alternative perturbation approaches in classical mechanics. European Journal of Physics 26 (2005) 1057-1063
4. Chatterjee A. Harmonic balance based averaging: approximate realizations of an asymptotic technique. Nonlinear Dynamics 32 (2003) 323-343
5. Mickens R.E. Oscillations in Planar Dynamics Systems (1996), World Scientific, Singapore
6. Mickens R.E. Iteration procedure for calculating approximations to periodic solutions of truly non-linear oscillators. Journal of Sound and Vibration 287 (2006) 1045-1051
7. Wu B.S., Lim C.W., and Ma Y.F. Analytical approximation to large-amplitude oscillation of a non-linear conservative system. International Journal of Non-Linear Mechanics 38 (2003) 1037-1043
8. 2) x = 0. Journal of Sound and Vibration 299 (2007) 403-408
9. Abd El-Latif G.M. On a problem of modified Lindstedt-Poinaré for certain strongly non-linear oscillators. Applied Mathematics and Computation 152 (2004) 821-836
10. Shohat J. On Van der Pol's and related non-linear differential equations. Journal of Applied Physics 15 (1944) 568-574