A. M. El-Naggar

Harmonic and Sub-Harmonic Periodic Solutions (1/2, 1/3) of Generalized Mathieu-Van der Pol-Duffing Equations

A. M. El-Naggar, K. M. Khalil & A. M. Omran · Journal of Scientific Research and Reports · 2017

The frequency-locking area of harmonic and subharmonic ( 1/2, 1/3 ) solutions in a fast harmonic excitation Mathieu-Van der PolDuffing equation is studied. A perturbation technique is then performed on the slow dynamic near the harmonic and subharmonic ( 1/2, 1/3 ) solutions, to...

Open access Research Article 10.9734/JSRR/2017/32122

Analytical Solutions of Strongly Non-linear Problems by the Iteration Perturbation Method

A. M. El-Naggar & G. M. Ismail · Journal of Scientific Research and Reports · 2014

This paper applies modified He's iteration perturbation method to study periodic solutions of strongly nonlinear oscillators. Some examples are given to illustrate the effectiveness and convenience of the method. The results are compared with the numerical solution and the compar...

Open access Research Article 10.9734/JSRR/2015/14364