Suppressing Chaos for a Fractional-Order Chaotic Chemical Reaction Model via <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06579971pt" id="M1" height="16.6324pt" version="1.1" viewBox="-0.0657574 -16.5666 28.6907 16.6324" width="28.6907pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g190-81" d="M46 650V622C120 617 128 613 128 525V125C128 42 120 34 40 28V0H311V28C221 34 212 39 212 124V281L286 262C297 261 316 261 331 263C429 275 526 338 526 468C526 533 501 579 462 609C422 638 364 650 293 650H46ZM212 559C212 588 215 600 223 606C230 613 251 618 279 618C361 618 430 572 430 464C430 337 350 302 285 302C252 302 225 309 212 314V559Z"/></g><g transform="matrix(.017,0,0,-0.017,9.575,0)"><path id="g190-69" d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z"/></g><g transform="matrix(.012,0,0,-0.012,22.271,-7.578)"><path id="g50-228" d="M443 689C443 696 439 701 427 701C388 701 338 667 299 636C236 640 219 678 219 695C219 710 226 721 233 730L208 744C164 729 134 695 134 672C134 635 185 597 258 594C148 500 24 351 24 186C24 82 71 43 140 21C159 15 179 9 202 4C244 -5 260 -26 260 -49C260 -96 218 -141 197 -162L226 -189C276 -146 340 -87 340 -19C340 32 308 60 260 72C247 75 221 83 200 90C142 110 112 135 112 209C112 349 209 508 312 591C361 597 443 623 443 689Z"/></g></svg> Controller

<div>Bifurcation plot of the controlled fractional-order chaotic chemical reaction model (<a href="https://static-preview.hindawi.com/articles/jmath/volume-2022/5658680/figures/#EEq46">46</a>): <span class="nowrap"><svg height="9.49473pt" id="M186" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.59789 9.49473" width="6.59789pt" 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="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z"></path></g></svg>-</span><svg height="9.14241pt" id="M187" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 12.001 9.14241" width="12.001pt" 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="M515 96L502 119C471 88 431 62 423 62C416 62 411 70 417 101C440 223 469 341 497 448H486L412 422L380 277C330 188 210 57 152 57C137 57 126 69 139 124L195 366C210 431 205 448 182 448C155 448 89 413 23 350L36 326C73 354 103 376 112 376C118 376 118 365 113 340L61 118C54 90 52 68 52 51C52 0 75 -12 98 -12S151 -3 181 17C242 58 305 119 362 193H364L345 104C323 3 339 -12 359 -12C390 -12 464 35 515 96Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.929,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g></svg>.</div>

Journal of Mathematics

fig4

Figure 4

Figure 4: Suppressing Chaos for a Fractional-Order Chaotic Chemical Reaction Model via <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06579971pt" id="M1" height="16.6324pt" version="1.1" viewBox="-0.0657574 -16.5666 28.6907 16.6324" width="28.6907pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g190-81" d="M46 650V622C120 617 128 613 128 525V125C128 42 120 34 40 28V0H311V28C221 34 212 39 212 124V281L286 262C297 261 316 261 331 263C429 275 526 338 526 468C526 533 501 579 462 609C422 638 364 650 293 650H46ZM212 559C212 588 215 600 223 606C230 613 251 618 279 618C361 618 430 572 430 464C430 337 350 302 285 302C252 302 225 309 212 314V559Z"/></g><g transform="matrix(.017,0,0,-0.017,9.575,0)"><path id="g190-69" d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z"/></g><g transform="matrix(.012,0,0,-0.012,22.271,-7.578)"><path id="g50-228" d="M443 689C443 696 439 701 427 701C388 701 338 667 299 636C236 640 219 678 219 695C219 710 226 721 233 730L208 744C164 729 134 695 134 672C134 635 185 597 258 594C148 500 24 351 24 186C24 82 71 43 140 21C159 15 179 9 202 4C244 -5 260 -26 260 -49C260 -96 218 -141 197 -162L226 -189C276 -146 340 -87 340 -19C340 32 308 60 260 72C247 75 221 83 200 90C142 110 112 135 112 209C112 349 209 508 312 591C361 597 443 623 443 689Z"/></g></svg> Controller 

Journal of Mathematics

Suppressing Chaos for a Fractional-Order Chaotic Chemical Reaction Model via Controller

Figure 4