Modeling Complex System Correlation Using Detrended Cross-Correlation Coefficient

<table>The DFA and DCCA fluctuate function for traffic speed fluctuation series <svg height="21.9375" id="M63" style="vertical-align:-4.2998pt" version="1.1" viewbox="0 0 39.5625 21.9375" width="39.5625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,33.6,16.675)"><path d="M283 255q-31 -2 -51 -10.5t-28 -23.5t-10 -27t-2 -30q0 -28 4 -97.5t4 -107.5q0 -128 -146 -128v28q50 7 67.5 31t17.5 63q0 33 -7 100t-7 98q0 96 84 117v4q-84 20 -84 115q0 34 7 102.5t7 98.5q0 40 -17.5 63t-67.5 30v28q28 0 50 -4t45.5 -16.5t37 -40t13.5 -68.5
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</svg> and the traffic volume fluctuation series <svg height="21.9375" id="M64" style="vertical-align:-4.2998pt" version="1.1" viewbox="0 0 40.549999 21.9375" width="40.549999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.</table>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Modeling Complex System Correlation Using Detrended Cross-Correlation Coefficient 