Threshold for Chaos of a Duffing Oscillator with Fractional-Order Derivative

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Points</td><td class="align_center">Excitation frequency (rad/s)</td><td class="align_center">The largest Lyapunov exponents</td><td class="align_center">Motion state</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"><i>C</i></td><td class="align_center">2.5</td><td class="align_center">−0.0023</td><td class="align_center">Period-1</td></tr><tr><td class="align_left"><i>F</i></td><td class="align_center">1.85</td><td class="align_center">0.0067</td><td class="align_center">Chaos</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>System responses for different typical points (<i>F</i> = 1.75 N).</div>

Shock and Vibration

tab3

Table 3

Table 3: Threshold for Chaos of a Duffing Oscillator with Fractional-Order Derivative 