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The existence of full-dimensional invariant tori for an almost-periodically forced nonlinear beam equation
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2021-02-18 , DOI: 10.1063/5.0018196 Shujuan Liu 1 , Guanghua Shi 1
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2021-02-18 , DOI: 10.1063/5.0018196 Shujuan Liu 1 , Guanghua Shi 1
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In this paper, we prove the existence of full-dimensional invariant tori for a non-autonomous, almost-periodically forced nonlinear beam equation with a periodic boundary condition via Kolmogorov–Arnold–MoserAM theory.
中文翻译:
几乎周期强迫非线性梁方程的全尺寸不变托里的存在
在本文中,我们通过Kolmogorov–Arnold–MoserAM理论证明了具有周期边界条件的非自治,近似周期强迫非线性梁方程的全尺寸不变托里的存在。
更新日期:2021-02-26
中文翻译:
几乎周期强迫非线性梁方程的全尺寸不变托里的存在
在本文中,我们通过Kolmogorov–Arnold–MoserAM理论证明了具有周期边界条件的非自治,近似周期强迫非线性梁方程的全尺寸不变托里的存在。