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Bursting oscillations in Duffing's equation with slowly changing external forcing - MaRDI portal

Bursting oscillations in Duffing's equation with slowly changing external forcing (Q634245)

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scientific article; zbMATH DE number 5935104
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English
Bursting oscillations in Duffing's equation with slowly changing external forcing
scientific article; zbMATH DE number 5935104

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    Bursting oscillations in Duffing's equation with slowly changing external forcing (English)
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    2 August 2011
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    The authors study numerically the equation \[ \ddot x+\delta\dot x- x+ x^3= \gamma\cos\omega t. \] They show that bursting oscillations (= mixed mode oscillations) arise for \(\gamma> 2\sqrt{3}/9\) and that the distance between two spikes depend on \(\omega\).
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    Duffing's equation
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    bursting oscillations
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    transformed phase diagram
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    forcing amplitude
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    forcing frequency
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