A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic

<table>(a) The new chaotic attractor. (b) <svg height="7.9499998" id="M13" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 9.625 7.9499998" width="9.625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><use xlink:href="#x1D465"></use></g>
</svg>-<svg height="8.4250002" id="M14" style="vertical-align:-0.273pt" version="1.1" viewbox="0 0 8.5874996 8.4250002" width="8.5874996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,8.013)"><use xlink:href="#x1D467"></use></g>
</svg> phase plane of the new chaotic attractor. (c) When time <svg height="11.6" id="M15" style="vertical-align:-0.546pt" version="1.1" viewbox="0 0 69.237503 11.6" width="69.237503" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.862)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,12.931,10.862)"><path d="M512 -3l-437 233v51l437 233v-58l-378 -200v-2l378 -199v-58z" id="x3C"></path></g><g transform="matrix(.017,-0,0,-.017,27.634,10.862)"><path d="M324 430l-26 -36l-112 -4l-55 -265q-13 -66 7 -66q13 0 44.5 20t50.5 40l17 -24q-38 -40 -85.5 -73.5t-87.5 -33.5q-50 0 -21 138l55 262h-80l-2 8l25 34h66l25 99l78 63l10 -9l-37 -153h128z" id="x1D461"></path></g><g transform="matrix(.017,-0,0,-.017,38.157,10.862)"><use xlink:href="#x2264"></use></g><g transform="matrix(.017,-0,0,-.017,52.861,10.862)"><use xlink:href="#x35"></use></g><g transform="matrix(.017,-0,0,-.017,61.02,10.862)"><use xlink:href="#x35"></use></g>
</svg>, the new system generate two-scroll transient chaotic. (d) When time <svg height="10.925" id="M16" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 41.662498 10.925" width="41.662498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,10.65)"><use xlink:href="#x1D461"></use></g><g transform="matrix(.017,-0,0,-.017,10.568,10.65)"><path d="M512 230l-437 -233v58l378 199v2l-378 200v58l437 -233v-51z" id="x3E"></path></g><g transform="matrix(.017,-0,0,-.017,25.272,10.65)"><use xlink:href="#x35"></use></g><g transform="matrix(.017,-0,0,-.017,33.431,10.65)"><use xlink:href="#x35"></use></g>
</svg>, the new system generate two-scroll chaotic attractor.</table>

Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic 