具有跳跃项的Duffing方程的拟周期解Quasi-Periodic Solutions for Duffing Equation with Jumping Term
张新丽
摘要(Abstract):
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。
关键词(KeyWords): Duffing方程;拟周期解;扭转映射;不变曲线
基金项目(Foundation): 国家自然科学基金项目(11571327)资助~~
作者(Author): 张新丽
DOI: 10.16441/j.cnki.hdxb.20180004
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