Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.3155003pt" id="M1" height="15.4095pt" version="1.1" viewBox="-0.0657574 -15.094 8.82982 15.4095" width="8.82982pt"><g transform="matrix(.017,0,0,-0.017,8.001,-3.832)"><path id="g117-4" d="M-70 617L-95 631C-109 602 -124 588 -144 588C-163 588 -180 594 -202 604C-233 618 -248 623 -268 623C-294 623 -326 604 -353 541L-329 524C-313 552 -298 568 -278 568C-267 568 -248 562 -231 554C-203 541 -180 532 -157 532C-128 532 -93 550 -70 617Z"/></g><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g187-84" d="M442 495C434 557 427 602 423 639C405 645 348 665 284 665C142 665 55 579 55 469C55 373 127 319 229 267C304 227 348 190 348 131C348 67 309 25 248 25C152 25 93 138 73 202L38 190C45 130 58 46 68 21C81 15 100 7 128 -1C158 -10 193 -15 229 -15C375 -15 472 74 472 188C472 287 400 343 295 394C207 439 171 470 171 525C171 583 212 624 268 624C349 624 387 550 407 487L442 495Z"/></g></svg>ilnikov Orbits

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/ddns/volume-2015/912798/figures/912798.fig.005a.svgz" name="912798.fig.005a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>The trajectories</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/ddns/volume-2015/912798/figures/912798.fig.005b.svgz" name="912798.fig.005b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Phase graph</td></tr></table>

Discrete Dynamics in Nature and Society

fig5

Figure 5

Figure 5: Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.3155003pt" id="M1" height="15.4095pt" version="1.1" viewBox="-0.0657574 -15.094 8.82982 15.4095" width="8.82982pt"><g transform="matrix(.017,0,0,-0.017,8.001,-3.832)"><path id="g117-4" d="M-70 617L-95 631C-109 602 -124 588 -144 588C-163 588 -180 594 -202 604C-233 618 -248 623 -268 623C-294 623 -326 604 -353 541L-329 524C-313 552 -298 568 -278 568C-267 568 -248 562 -231 554C-203 541 -180 532 -157 532C-128 532 -93 550 -70 617Z"/></g><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g187-84" d="M442 495C434 557 427 602 423 639C405 645 348 665 284 665C142 665 55 579 55 469C55 373 127 319 229 267C304 227 348 190 348 131C348 67 309 25 248 25C152 25 93 138 73 202L38 190C45 130 58 46 68 21C81 15 100 7 128 -1C158 -10 193 -15 229 -15C375 -15 472 74 472 188C472 287 400 343 295 394C207 439 171 470 171 525C171 583 212 624 268 624C349 624 387 550 407 487L442 495Z"/></g></svg>ilnikov Orbits 

Discrete Dynamics in Nature and Society

Hopf Bifurcation Analysis and Chaos Control of a Chaotic System without ilnikov Orbits

Figure 5