| 具有跳跃项的Duffing方程的拟周期解 |
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| 引用本文： | 张新丽.具有跳跃项的Duffing方程的拟周期解[J].中国海洋大学学报(自然科学版),2020,50(4):145-150. |
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| 作者姓名： | 张新丽 |
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| 作者单位： | 中国海洋大学数学科学学院,山东青岛266100;青岛科技大学数理学院,山东青岛266061 |
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| 基金项目： | 国家自然科学基金项目(11571327)资助。 |
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| 摘 要： | 本文研究了一类具有非对称项和有界扰动项的Duffing方程。当扰动项是拟周期函数时,利用典则变换和光滑拟周期扭转映射的不变曲线定理,证明了方程任意解的有界性和拟周期解的存在性。
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| 关 键 词： | Duffing方程 拟周期解 扭转映射 不变曲线 |
Quasi-Periodic Solutions for Duffing Equation with Jumping Term |
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| ZHANG Xin-Li.Quasi-Periodic Solutions for Duffing Equation with Jumping Term[J].Periodical of Ocean University of China,2020,50(4):145-150. |
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| Authors: | ZHANG Xin-Li |
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| Institution: | (School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China;School of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China) |
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| Abstract: | In this paper,we study a type of Duffing equation which has asymmetric term and jumping nonlinearity.When the perturbation term is a smooth quasi-periodic function,we prove the boundedness of all solutions and the existence of quasi-periodic solutions for the equation by canonical transformations and the invariant curve theorem for smooth quasi-periodic twist mappings. |
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| Keywords: | Duffing equation quasi-periodic solutions twist mappings invariant curves |
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