Periodic Solutions of Discontinuous Duffing Equations

被引：0
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作者：
Fangfang Jiang
机构：
[1] Jiangnan University,School of Science
来源：
Qualitative Theory of Dynamical Systems | 2020年 / 19卷
关键词：
Discontinuity; Duffing equation; Poincaré-Birkhoff theorem, multiplicity;
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摘要：
In this paper, we investigate the multiplicity problem of periodic solutions for a class of periodically forced Duffing equations allowing for discontinuities. By using a generalized form of the Poincaré–Birkhoff theorem due to Ding (Proc Am Math Soc 88:341–346, 1983), we demonstrate that the discontinuous equation has an infinite number of periodic solutions with large amplitude.
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