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Recurrent dimensions of quasiperiodic solutions for nonlinear evolution equations II: Gaps of dimensions and Diophantine conditions
1.  Department of Mathematics, Faculty of Engineering, Kumamoto University, Kumamoto 8608555, Japan 
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Yanling Shi, Junxiang Xu. Quasiperiodic solutions for a class of beam equation system. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 3153. doi: 10.3934/dcdsb.2019171 
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Siqi Xu, Dongfeng Yan. Smooth quasiperiodic solutions for the perturbed mKdV equation. Communications on Pure & Applied Analysis, 2016, 15 (5) : 18571869. doi: 10.3934/cpaa.2016019 
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Xiaoping Yuan. Quasiperiodic solutions of nonlinear wave equations with a prescribed potential. Discrete & Continuous Dynamical Systems, 2006, 16 (3) : 615634. doi: 10.3934/dcds.2006.16.615 
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Meina Gao, Jianjun Liu. Quasiperiodic solutions for derivative nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems, 2012, 32 (6) : 21012123. doi: 10.3934/dcds.2012.32.2101 
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Zhenguo Liang, Jiansheng Geng. Quasiperiodic solutions for 1D resonant beam equation. Communications on Pure & Applied Analysis, 2006, 5 (4) : 839853. doi: 10.3934/cpaa.2006.5.839 
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Ernest Fontich, Rafael de la Llave, Yannick Sire. A method for the study of whiskered quasiperiodic and almostperiodic solutions in finite and infinite dimensional Hamiltonian systems. Electronic Research Announcements, 2009, 16: 922. doi: 10.3934/era.2009.16.9 
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Jean Bourgain. On quasiperiodic lattice Schrödinger operators. Discrete & Continuous Dynamical Systems, 2004, 10 (1&2) : 7588. doi: 10.3934/dcds.2004.10.75 
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Peng Huang, Xiong Li, Bin Liu. Invariant curves of smooth quasiperiodic mappings. Discrete & Continuous Dynamical Systems, 2018, 38 (1) : 131154. doi: 10.3934/dcds.2018006 
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Jibin Li, Yi Zhang. Exact solitary wave and quasiperiodic wave solutions for four fifthorder nonlinear wave equations. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 623631. doi: 10.3934/dcdsb.2010.13.623 
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Chengming Cao, Xiaoping Yuan. Quasiperiodic solutions for perturbed generalized nonlinear vibrating string equation with singularities. Discrete & Continuous Dynamical Systems, 2017, 37 (4) : 18671901. doi: 10.3934/dcds.2017079 
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Xiaoming Wang. Quasiperiodic solutions for a class of second order differential equations with a nonlinear damping term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 543556. doi: 10.3934/dcdss.2017027 
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Hongzi Cong, Jianjun Liu, Xiaoping Yuan. Quasiperiodic solutions for complex GinzburgLandau equation of nonlinearity $u^{2p}u$. Discrete & Continuous Dynamical Systems  S, 2010, 3 (4) : 579600. doi: 10.3934/dcdss.2010.3.579 
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Yingte Sun. Floquet solutions for the Schrödinger equation with fastoscillating quasiperiodic potentials. Discrete & Continuous Dynamical Systems, 2021 doi: 10.3934/dcds.2021047 
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Alessandro Fonda, Antonio J. Ureña. Periodic, subharmonic, and quasiperiodic oscillations under the action of a central force. Discrete & Continuous Dynamical Systems, 2011, 29 (1) : 169192. doi: 10.3934/dcds.2011.29.169 
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Xavier Blanc, Claude Le Bris. Improving on computation of homogenized coefficients in the periodic and quasiperiodic settings. Networks & Heterogeneous Media, 2010, 5 (1) : 129. doi: 10.3934/nhm.2010.5.1 
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