Analysis of Rattleback Chaotic Oscillations

<table>Relation between <svg height="15.1125" id="M137" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 47.474998 15.1125" width="47.474998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and <svg height="12.4375" id="M138" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 23.725 12.4375" width="23.725" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> for different embedding dimensions <svg height="7.9499998" id="M139" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 13.5375 7.9499998" width="13.5375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M766 88q-40 -45 -83.5 -72.5t-63.5 -27.5q-39 0 -16 103l49 224q15 68 -10 68q-36 0 -112.5 -78.5t-105.5 -133.5q-27 -101 -38 -165q-35 -4 -77 -18l-6 6q42 153 70 288q12 55 10 78t-19 23q-38 0 -114 -80.5t-101 -131.5q-24 -68 -41 -165q-36 -3 -76 -18l-8 6
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</svg> for roll angle <svg height="7.9499998" id="M140" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 9.7749996 7.9499998" width="9.7749996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> time-series for (a) wax, (b)gypsum, and (c) lead-solder, materials.</table>

The Scientific World Journal

Analysis of Rattleback Chaotic Oscillations

Figure 7