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On the dynamics of coupled oscillators and its application to the stability of suspension bridges - MaRDI portal

On the dynamics of coupled oscillators and its application to the stability of suspension bridges (Q6144004)

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scientific article; zbMATH DE number 7784193
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On the dynamics of coupled oscillators and its application to the stability of suspension bridges
scientific article; zbMATH DE number 7784193

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    On the dynamics of coupled oscillators and its application to the stability of suspension bridges (English)
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    5 January 2024
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    Summary: We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled nonlinear oscillator described in a model of a bridge. We also prove the linear stability/instability of the branches of solutions. For the entire collection see [Zbl 1504.74002].
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    computer assisted proof
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    stability
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    Chebyshev polynomials
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    Poincaré map
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