Oscillator with a Sum of Noninteger-Order Nonlinearities

<table>Time-history diagrams obtained analytically <svg height="10.925" id="M246" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 17.1875 10.925" width="17.1875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐴</tspan>
</text>
</g>
</g>
</svg>  and numerically <svg height="10.925" id="M247" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.637501 10.925" width="19.637501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑁</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

Oscillator with a Sum of Noninteger-Order Nonlinearities

Figure 2