Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches

<table>Time evolutions of the synchronization errors <svg height="20.637501" id="M171" style="vertical-align:-3.80836pt" version="1.1" viewbox="0 0 127.7625 20.637501" width="127.7625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> in multicell system (<a href="https://static.hindawi.com/articles/aaa/volume-2014/587019/figures/#EEq1">1</a>), where the parameter <svg height="7.9499998" id="M172" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.0999999 7.9499998" width="7.0999999" 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="M387 375q0 -16 -17 -31t-29 -15q-9 0 -12 13q-13 74 -80 74q-36 0 -61 -24.5t-25 -56.5t24 -51.5t68 -19.5q33 0 47 2l2 -7l-32 -42q-20 2 -54 2q-45 0 -74 -21.5t-29 -60.5q0 -41 28 -65.5t73 -24.5q78 0 145 67l17 -23q-33 -47 -84.5 -75t-111.5 -28q-70 0 -114.5 35.5
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</svg> is taken as <svg height="16.012501" id="M173" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 29.762501 16.012501" width="29.762501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and <svg height="15.9" id="M174" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 29.762501 15.9" width="29.762501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.638)"><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><g transform="matrix(.017,-0,0,-.017,8.222,15.638)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
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</svg>, respectively.</table>

Abstract and Applied Analysis

fig2

Figure 2

Figure 2: Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches 