Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Orders</td><td class="align_center" colspan="3">System responses and single master synchronization results</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"><svg height="8.55521pt" id="M217" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 44.1999 8.55521" width="44.1999pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 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vert-adv-y="480"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,27.651,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="228" vert-adv-y="228"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,30.615,0)"><path d="M244 635C114 635 38 519 38 422C38 317 111 240 217 240C236 240 255 244 277 256L345 292C311 140 203 39 59 15L64 -15C89 -15 150 -5 204 17C339 72 440 202 440 386C440 521 368 635 244 635ZM228 602C326 602 352 479 352 390C352 370 351 347 348 324C327 308 293 296 258 296C174 296 124 369 124 458C124 517 152 602 228 602Z" id="g113-58"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg></td><td class="align_center">CNN<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005a.svgz" name="9189120.tab-inline.005a" type="image/svg+xml"></object></td><td class="align_center">Liu<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005b.svgz" name="9189120.tab-inline.005b" type="image/svg+xml"></object></td><td class="align_center">Financial<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005c.svgz" name="9189120.tab-inline.005c" type="image/svg+xml"></object></td></tr><tr><td class="align_center" colspan="4"><hr/></td></tr><tr><td class="align_left"><svg height="8.55521pt" id="M220" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 28.698 8.55521" width="28.698pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 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transform="matrix(.013,0,0,-0.013,36.855,0)"><path d="M447 623H65C61 580 56 530 47 475H76C100 541 106 550 172 550H388C308 376 196 170 91 -1L98 -12L172 -2C268 204 360 408 455 611L447 623Z" id="g113-56"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg></td><td class="align_center">CNN<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005d.svgz" name="9189120.tab-inline.005d" type="image/svg+xml"></object></td><td class="align_center">Liu<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005e.svgz" name="9189120.tab-inline.005e" type="image/svg+xml"></object></td><td class="align_center">Financial<br/><object data="https://static.hindawi.com/articles/complexity/volume-2017/9189120/figures/9189120.tab-inline.005f.svgz" name="9189120.tab-inline.005f" type="image/svg+xml"></object></td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Successful synchronization at different values of the fractional orders.

Complexity

tab5

Table 5

Table 5: Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems 