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\iteman{ZMATH 2009e.00520}
\itemau{Fay, Temple H.}
\itemti{The forced van der Pol equation.}
\itemso{Int. J. Math. Educ. Sci. Technol. 40, No. 5, 669-677 (2009).}
\itemab
Summary: We report on a study of the forced van der Pol equation $$\ddot x+\varepsilon(x^2-1)\dot x+x=F\cos\omega t$$ by solving numerically the differential equation for a variety of values of the parameters $\varepsilon,F$ and $\omega$. 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.
\itemrv{~}
\itemcc{I75 N45 R25}
\itemut{forced van der Pol equation; harmonic and subharmonic solutions; limit cycles; numerical solutions}
\itemli{doi:10.1080/00207390902759568}
\end