Subharmonic Resonance of Van Der Pol Oscillator with Fractional-Order Derivative

<table>Effects of the fractional order <svg height="13.3" id="M207" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 10.2 13.3" width="10.2" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> on the response amplitudes in three response modes for <svg height="11.125" id="M208" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 37.3125 11.125" width="37.3125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q0 -61 24.5 -96.5t65.5 -35.5q51 0 87.5 46.5t50.5 100.5t14 102z" id="x1D70E"></path></g><g transform="matrix(.017,-0,0,-.017,14.375,10.862)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,29.079,10.862)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
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Mathematical Problems in Engineering

fig8

Figure 8

Figure 8: Subharmonic Resonance of Van Der Pol Oscillator with Fractional-Order Derivative 