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Display information for equation id:math.1358.54 on revision:1358

* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1358.54)

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Hash: 72cbfe690abd1d9c9b2f2416b8146ec9

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\delta \bar{x}(t)=={{c}_{1}}{{\bar{\xi }}^{(1)}}{{e}^{-\gamma +\sqrt{{{\gamma }^{2}}-{{\omega }^{2}}}t}}+{{c}_{2}}{{\bar{\xi }}^{(2)}}{{e}^{-\gamma -\sqrt{{{\gamma }^{2}}-{{\omega }^{2}}}t}}

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δx¯(t)==c1ξ¯(1)eγ+γ2ω2t+c2ξ¯(2)eγγ2ω2t
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03BE;</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>&#x03B3;</mi><mo>+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mi>t</mi></mrow></mrow></msup><mo>+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03BE;</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>&#x03B3;</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mi>t</mi></mrow></mrow></msup></mstyle></mrow></math>

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