Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study

<div>Phase portraits showing the coexistence of four different attractors using PSpice simulation (a pair of periodic and a pair of chaotic) for <span class="nowrap"><svg height="14.1649pt" id="M198" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 89.7502 14.1649" width="89.7502pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.086,3.132)"><path d="M493 373C493 420 472 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-117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,89.872,0)"><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,-0.013,98.287,0)"><path d="M687 650H462V622C543 612 549 605 530 547C498 447 422 252 372 126H370C302 298 229 492 204 563C188 607 191 615 262 622V650H17V622C77 616 93 608 122 534C180 389 262 172 329 -11H360C436 196 541 450 568 516C606 605 619 614 687 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,107.46,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> for the chaotic pair and <svg height="11.5564pt" id="M200" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 102.873 11.5564" width="102.873pt" 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Complexity

fig11

Figure 11

Figure 11: Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study 