Nonlinear resonance in asymmetric oscillators (Q1268567)

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scientific article; zbMATH DE number 1212882
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Nonlinear resonance in asymmetric oscillators
scientific article; zbMATH DE number 1212882

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    Nonlinear resonance in asymmetric oscillators (English)
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    18 October 1998
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    Periodic solutions to equations with asymmetric nonlinearities at resonance with Fučik spectrum are studied. The associated topological degree is computed and existence, multiplicity, and stability of large-amplitude oscillations are proved for an equation with small friction term. The considered equations can be viewed as simple models for investigating vertical oscillations of long-span suspension bridges.
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    nonlinear resonance
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    asymmetric oscillator
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    vertical oscillations
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