Investigation on Evolutionary Computation Techniques of a Nonlinear System

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="496732.fig.007a" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>100 simulations for <svg height="7.1374998" id="M132" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="496732.fig.007b" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>The best solution for <svg height="7.1374998" id="M133" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="496732.fig.007c" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>100 simulations for <svg height="10.925" id="M134" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.5625 10.925" width="24.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.67,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐹</tspan>
<tspan style="font-size: 8.75px; " x="5.4087362" y="0">𝐾</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="496732.fig.007d" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>The best solution for <svg height="10.925" id="M135" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 24.5625 10.925" width="24.5625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑎</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.67,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐹</tspan>
<tspan style="font-size: 8.75px; " x="5.4087362" y="0">𝐾</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="e"><td><img alt="496732.fig.007e" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007e.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(e) </b>100 simulations for <svg height="10.325" id="M136" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="f"><td><img alt="496732.fig.007f" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007f.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(f) </b>The best solution for <svg height="10.325" id="M137" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="g"><td><img alt="496732.fig.007g" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007g.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(g) </b>100 simulations for <svg height="14.3375" id="M138" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 14.875 14.3375" width="14.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3375)">
<g transform="translate(72,-60.53)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑣</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr><tr class="fig-image" id="h"><td><img alt="496732.fig.007h" src="https://static.hindawi.com/articles/mse/volume-2011/496732/figures/496732.fig.007h.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(h) </b>The best solution for <svg height="14.3375" id="M139" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 14.875 14.3375" width="14.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3375)">
<g transform="translate(72,-60.53)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑣</tspan>
</text>
</g>
</g>
</svg> (DERan1Bin)</td></tr></table></td></tr></table>

<table>Processes parameters for 100 simulations of DE—version DERan1Bin.</table>

Modelling and Simulation in Engineering

fig7

Figure 7

Figure 7: Investigation on Evolutionary Computation Techniques of a Nonlinear System 