Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left"><i>α</i></td><td class="align_center">Two steady states</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">(0, 0.7713)</td><td class="align_center">Two stable points of <i>E</i><sub>1</sub> and <i>E</i><sub>2</sub></td></tr><tr><td class="align_left">(0.7713, 0.84)</td><td class="align_center">Stable point <i>E</i><sub>1</sub> and limit cycle</td></tr><tr><td class="align_left">(0.84, 0.97)</td><td class="align_center">Stable point <i>E</i><sub>1</sub> and limit cycle</td></tr><tr><td class="align_left">(0.97, 1)</td><td class="align_center">Stable point <i>E</i><sub>1</sub> and chaotic attractor</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Bistability in the case of <i>a</i> = 10/3 and <i>b</i> = 10.</div>

Complexity

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Table 4

Table 4: Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor 