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Jardan, D.W. and Smith, P. (1999) Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems. Oxford, New York.

has been cited by the following article:

• TITLE: Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator

  AUTHORS: T. A. Nofel

  KEYWORDS: Nonlinear Oscillators, Homotopy Perturbation Method, Fractional Van der Pol Damped Nonlinear Oscillator, Heat Transfer

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 2, 2014

  ABSTRACT: In this paper, a powerful analytical method, called He’s homotopy perturbation method is applied to obtaining the approximate periodic solutions for some nonlinear differential equations in mathematical physics via Van der Pol damped non-linear oscillators and heat transfer. Illustrative examples reveal that this method is very effective and convenient for solving nonlinear differential equations. Comparison of the obtained results with those of the exact solution, reveals that homotopy perturbation method leads to accurate solutions.