Subharmonic vibrations close to degenerate Poincaré-Hopf bifurcations (Q1309782)

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scientific article; zbMATH DE number 474576
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Subharmonic vibrations close to degenerate Poincaré-Hopf bifurcations
scientific article; zbMATH DE number 474576

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    Subharmonic vibrations close to degenerate Poincaré-Hopf bifurcations (English)
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    28 February 1994
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    The purpose is to develop an analytic approach to study the dynamics in the forced oscillators. We propose to construct, in the physical portrait space and in the phenomenological parameters space, the approximations of \(q\)-subharmonics and their bifurcation diagrams close to resonance points of order \(q\).
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    Poincaré map
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    \(q\)-subharmonics
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    physical portrait space
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    phenomenological parameters space
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    resonance points
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