A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="257327.fig.007a" src="https://static.hindawi.com/articles/aaa/volume-2014/257327/figures/257327.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>The dynamic of <svg height="11.825" id="M271" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 13.5 11.825" width="13.5" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M391 364q0 -28 -20.5 -53.5t-50 -43.5t-70 -34t-73.5 -25t-68 -17v-29q0 -48 20 -81t65 -33q73 0 157 76l16 -23q-107 -113 -221 -113q-21 0 -40.5 6.5t-39 22t-31.5 47t-12 75.5q0 69 33.5 139.5t95.5 114.5q77 55 143 55q42 0 69 -24.5t27 -59.5zM313 350
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<g transform="matrix(.012,-0,0,-.012,7.1,11.762)"><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>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="257327.fig.007b" src="https://static.hindawi.com/articles/aaa/volume-2014/257327/figures/257327.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>The dynamic of <svg height="11.825" id="M272" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 13.5 11.825" width="13.5" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M391 364q0 -28 -20.5 -53.5t-50 -43.5t-70 -34t-73.5 -25t-68 -17v-29q0 -48 20 -81t65 -33q73 0 157 76l16 -23q-107 -113 -221 -113q-21 0 -40.5 6.5t-39 22t-31.5 47t-12 75.5q0 69 33.5 139.5t95.5 114.5q77 55 143 55q42 0 69 -24.5t27 -59.5zM313 350
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<g transform="matrix(.012,-0,0,-.012,7.1,11.762)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="257327.fig.007c" src="https://static.hindawi.com/articles/aaa/volume-2014/257327/figures/257327.fig.007c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>The dynamic of <svg height="11.9625" id="M273" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 13.5 11.9625" width="13.5" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,7.1,11.762)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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</svg></td></tr></table></td></tr></table>

<table>CMHPS error dynamics between 4-dimensional complex hyperchaotic Dadras drive system (<a href="https://static.hindawi.com/articles/aaa/volume-2014/257327/figures/#EEq18">29</a>) and 3-dimensional complex chaotic Lorenz response system (<a href="https://static.hindawi.com/articles/aaa/volume-2014/257327/figures/#EEq19">31</a>).</table>

Abstract and Applied Analysis

fig7

Figure 7

Figure 7: A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions 