Control Scheme for a Fractional-Order Chaotic Genesio-Tesi Model

<div>Computer simulations of model (<a href="https://static.hindawi.com/articles/complexity/volume-2019/4678394/figures/#EEq69">69</a>) when <svg height="11.7782pt" id="M188" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 99.2055 11.7782" width="99.2055pt" 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="M449 290C449 369 411 446 324 446C271 446 212 414 173 378C76 289 55 151 55 19C55 -41 73 -100 116 -142C162 -187 228 -202 291 -217C320 -224 348 -238 371 -257C376 -227 375 -219 362 -192C349 -168 330 -145 280 -137C228 -128 179 -110 134 -82C100 -61 96 -17 96 24C121 1 154 -12 188 -12C213 -12 256 1 298 24C374 64 449 162 449 290ZM367 278C366 125 292 56 262 40C244 31 227 27 212 27C172 27 134 50 135 87C142 261 201 360 246 390C260 400 278 403 292 403C340 403 367 348 367 278Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.834,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.097,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,27.337,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.301,0)"><path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></path></g><g transform="matrix(.013,0,0,-0.013,40.173,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,51.436,0)"><path d="M449 290C449 369 411 446 324 446C271 446 212 414 173 378C76 289 55 151 55 19C55 -41 73 -100 116 -142C162 -187 228 -202 291 -217C320 -224 348 -238 371 -257C376 -227 375 -219 362 -192C349 -168 330 -145 280 -137C228 -128 179 -110 134 -82C100 -61 96 -17 96 24C121 1 154 -12 188 -12C213 -12 256 1 298 24C374 64 449 162 449 290ZM367 278C366 125 292 56 262 40C244 31 227 27 212 27C172 27 134 50 135 87C142 261 201 360 246 390C260 400 278 403 292 403C340 403 367 348 367 278Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,57.312,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path></g><g transform="matrix(.013,0,0,-0.013,65.89,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,77.153,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,83.393,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,86.357,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,92.597,0)"><path d="M249 635C141 635 70 555 70 471C70 401 114 353 179 316C143 294 106 267 90 252C68 231 45 202 45 157C45 50 130 -12 237 -12C322 -12 435 52 435 169C435 256 372 304 303 343C349 374 375 398 383 407C401 429 411 458 411 487C411 569 344 635 249 635ZM238 603C285 603 337 567 337 482C337 422 310 385 276 358C205 393 145 426 145 500C145 552 179 603 238 603ZM248 20C183 20 125 70 125 163C125 218 158 268 206 300C284 261 355 217 355 143C355 66 308 20 248 20Z"></path></g></svg> and the initial value is (1, 1, 1).</div>

Complexity

Control Scheme for a Fractional-Order Chaotic Genesio-Tesi Model

Figure 4