
Previous Article
Polynomial growth of the derivative for diffeomorphisms on tori
 DCDS Home
 This Issue

Next Article
On the double pendulum: An example of double resonant situations
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 
[1] 
Claudia Valls. On the quasiperiodic solutions of generalized Kaup systems. Discrete & Continuous Dynamical Systems, 2015, 35 (1) : 467482. doi: 10.3934/dcds.2015.35.467 
[2] 
Qihuai Liu, Dingbian Qian, Zhiguo Wang. Quasiperiodic solutions of the LotkaVolterra competition systems with quasiperiodic perturbations. Discrete & Continuous Dynamical Systems  B, 2012, 17 (5) : 15371550. doi: 10.3934/dcdsb.2012.17.1537 
[3] 
Yanling Shi, Junxiang Xu, Xindong Xu. Quasiperiodic solutions of generalized Boussinesq equation with quasiperiodic forcing. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 25012519. doi: 10.3934/dcdsb.2017104 
[4] 
Lei Jiao, Yiqian Wang. The construction of quasiperiodic solutions of quasiperiodic forced Schrödinger equation. Communications on Pure & Applied Analysis, 2009, 8 (5) : 15851606. doi: 10.3934/cpaa.2009.8.1585 
[5] 
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 
[6] 
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 
[7] 
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 
[8] 
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 
[9] 
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 
[10] 
Yanling Shi, Junxiang Xu. Quasiperiodic solutions for nonlinear wave equation with Liouvillean frequency. Discrete & Continuous Dynamical Systems  B, 2021, 26 (7) : 34793490. doi: 10.3934/dcdsb.2020241 
[11] 
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 
[12] 
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 
[13] 
Jean Bourgain. On quasiperiodic lattice Schrödinger operators. Discrete & Continuous Dynamical Systems, 2004, 10 (1&2) : 7588. doi: 10.3934/dcds.2004.10.75 
[14] 
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 
[15] 
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 
[16] 
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 
[17] 
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 
[18] 
Yingte Sun. Floquet solutions for the Schrödinger equation with fastoscillating quasiperiodic potentials. Discrete & Continuous Dynamical Systems, 2021, 41 (10) : 45314543. doi: 10.3934/dcds.2021047 
[19] 
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 
[20] 
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 
2020 Impact Factor: 1.392
Tools
Metrics
Other articles
by authors
[Back to Top]