Author: Fay, Temple

Source: International Journal of Mathematical Education, Volume 40, Number 5, January 2009 , pp. 669-677(9)

Publisher: Taylor and Francis Ltd

Abstract:

We report on a study of the forced van der Pol equation [image omitted] by solving numerically the differential equation for a variety of values of the parameters ε,F and ω. In doing so, many striking and interesting trajectories can be discovered and phenomena such as frequency entrainment, almost periodic solutions, space filling trajectories and seemingly chaotic behaviour are explored. These examples naturally give rise to computer laboratory problems suitable for student research and small group projects.

Keywords: forced van der Pol equation; harmonic and subharmonic solutions; limit cycles; numerical solutions

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207390902759568

Affiliations: 1: Department of Mathematical Technology, Tshwane University of Technology, Pretoria, South Africa

Publication date: 2009-01-01

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