Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test

<table>Poincaré surface of section at <svg height="10.9125" id="M169" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.299999 10.9125" width="46.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐸</tspan>
<tspan style="font-size: 12.50px; " x="12.390473" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.430862" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="30.682362" y="0">0</tspan>
</text>
</g>
</g>
</svg> (in 20th-order Hamiltonian).</table>

Journal of Applied Mathematics

fig13

Figure 13

Figure 13: Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test 