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Display information for equation id:math.1359.45 on revision:1359
* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1359.45)
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Hash: 63cf5016e69a2dbc3110eb6e1ee9d84d
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\left. \begin{align}
& {{x}_{1}}=\phi \\
& {{x}_{2}}={{p}_{\phi }}=m{{l}^{2}}\dot{\phi } \\
\end{align} \right\}\begin{matrix}
{{{\dot{x}}}_{1}}=\frac{{{x}_{2}}}{m{{l}^{2}}} \\
{{{\dot{x}}}_{2}}=-mgl\sin {{x}_{1}}-2\gamma {{x}_{2}} \\
\end{matrix}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>ϕ</mi></mrow></msub><mo>=</mo><mi>m</mi><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mo>−</mo><mi>m</mi><mi>g</mi><mi>l</mi><mi>sin</mi><mo>⁡</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>−</mo><mn>2</mn><mi>γ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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