Statistical Complexity of Low- and High-Dimensional Systems

<table>The values of <svg height="16.3375" id="M21" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 17.9 16.3375" width="17.9" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
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<text transform="matrix(1,0,0,-1,-63.56,60.58)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝜇</tspan>
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</svg> and the number of causal states for various history lengths (from bottom to top <svg height="11.0375" id="M22" style="vertical-align:-0.27588pt" version="1.1" viewbox="0 0 59.799999 11.0375" width="59.799999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑙</tspan>
<tspan style="font-size: 12.50px; " x="7.4392848" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="19.479673" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="27.819176" y="0">⋯</tspan>
<tspan style="font-size: 12.50px; " x="41.47245" y="0">9</tspan>
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</g>
</g>
</svg>) for the standard map trajectory as a function of the data length.</table>

Journal of Atomic and Molecular Physics

Statistical Complexity of Low- and High-Dimensional Systems

Figure 3