Nonlinear Resonance in Asymmetric Oscillators
نویسندگان
چکیده
We study the periodic solutions of equations with asymmetric nonlinearities ``at resonance'' with the Fuc @ k spectrum. We compute the associated topological degree and prove existence, multiplicity, and stability of large-amplitude oscillations for equations with a small friction term. Such equations can be viewed, e.g., as simple models for investigating vertical oscillations of long-span suspension bridges. The results are typically of a nonlinear nature, as some of the situations observed cannot occur with a linear equation. 1998 Academic Press
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تاریخ انتشار 1998