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On synchronization of oscillations of two coupled Berger plates with nonlinear interior damping
1.  Department of Mechanics and Mathematics, Kharkov National University, Svobody sq. 4, 61077 Kharkov, Ukraine 
[1] 
Rogério Martins. Onedimensional attractor for a dissipative system with a cylindrical phase space. Discrete & Continuous Dynamical Systems, 2006, 14 (3) : 533547. doi: 10.3934/dcds.2006.14.533 
[2] 
Long Hu, Tatsien Li, Bopeng Rao. Exact boundary synchronization for a coupled system of 1D wave equations with coupled boundary conditions of dissipative type. Communications on Pure & Applied Analysis, 2014, 13 (2) : 881901. doi: 10.3934/cpaa.2014.13.881 
[3] 
Ahmed Y. Abdallah. Upper semicontinuity of the attractor for a second order lattice dynamical system. Discrete & Continuous Dynamical Systems  B, 2005, 5 (4) : 899916. doi: 10.3934/dcdsb.2005.5.899 
[4] 
Mustapha Yebdri. Existence of $ \mathcal{D} $pullback attractor for an infinite dimensional dynamical system. Discrete & Continuous Dynamical Systems  B, 2022, 27 (1) : 167198. doi: 10.3934/dcdsb.2021036 
[5] 
Jin Zhang, Yonghai Wang, Chengkui Zhong. Robustness of exponentially κdissipative dynamical systems with perturbations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 38753890. doi: 10.3934/dcdsb.2017198 
[6] 
Mostafa Abounouh, H. Al Moatassime, J. P. Chehab, S. Dumont, Olivier Goubet. Discrete Schrödinger equations and dissipative dynamical systems. Communications on Pure & Applied Analysis, 2008, 7 (2) : 211227. doi: 10.3934/cpaa.2008.7.211 
[7] 
Vladimir V. Chepyzhov, Monica Conti, Vittorino Pata. Totally dissipative dynamical processes and their uniform global attractors. Communications on Pure & Applied Analysis, 2014, 13 (5) : 19892004. doi: 10.3934/cpaa.2014.13.1989 
[8] 
Boling Guo, Zhengde Dai. Attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities. Discrete & Continuous Dynamical Systems, 1998, 4 (4) : 783793. doi: 10.3934/dcds.1998.4.783 
[9] 
Lijuan Wang, Qishu Yan. Optimal control problem for exact synchronization of parabolic system. Mathematical Control & Related Fields, 2019, 9 (3) : 411424. doi: 10.3934/mcrf.2019019 
[10] 
Giulia Cavagnari, Antonio Marigonda, Benedetto Piccoli. Optimal synchronization problem for a multiagent system. Networks & Heterogeneous Media, 2017, 12 (2) : 277295. doi: 10.3934/nhm.2017012 
[11] 
JinLiang Wang, ZhiChun Yang, Tingwen Huang, Mingqing Xiao. Local and global exponential synchronization of complex delayed dynamical networks with general topology. Discrete & Continuous Dynamical Systems  B, 2011, 16 (1) : 393408. doi: 10.3934/dcdsb.2011.16.393 
[12] 
Tianhu Yu, Jinde Cao, Chuangxia Huang. Finitetime cluster synchronization of coupled dynamical systems with impulsive effects. Discrete & Continuous Dynamical Systems  B, 2021, 26 (7) : 35953620. doi: 10.3934/dcdsb.2020248 
[13] 
Xinyuan Liao, Caidi Zhao, Shengfan Zhou. Compact uniform attractors for dissipative nonautonomous lattice dynamical systems. Communications on Pure & Applied Analysis, 2007, 6 (4) : 10871111. doi: 10.3934/cpaa.2007.6.1087 
[14] 
Xin Li, Wenxian Shen, Chunyou Sun. Invariant measures for complexvalued dissipative dynamical systems and applications. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 24272446. doi: 10.3934/dcdsb.2017124 
[15] 
Grzegorz Łukaszewicz, James C. Robinson. Invariant measures for nonautonomous dissipative dynamical systems. Discrete & Continuous Dynamical Systems, 2014, 34 (10) : 42114222. doi: 10.3934/dcds.2014.34.4211 
[16] 
Caidi Zhao, Shengfan Zhou. Compact uniform attractors for dissipative lattice dynamical systems with delays. Discrete & Continuous Dynamical Systems, 2008, 21 (2) : 643663. doi: 10.3934/dcds.2008.21.643 
[17] 
Michael Zgurovsky, Mark Gluzman, Nataliia Gorban, Pavlo Kasyanov, Liliia Paliichuk, Olha Khomenko. Uniform global attractors for nonautonomous dissipative dynamical systems. Discrete & Continuous Dynamical Systems  B, 2017, 22 (5) : 20532065. doi: 10.3934/dcdsb.2017120 
[18] 
Xiaojun Chang, Yong Li. Rotating periodic solutions of second order dissipative dynamical systems. Discrete & Continuous Dynamical Systems, 2016, 36 (2) : 643652. doi: 10.3934/dcds.2016.36.643 
[19] 
Xiaoming Wang. Numerical algorithms for stationary statistical properties of dissipative dynamical systems. Discrete & Continuous Dynamical Systems, 2016, 36 (8) : 45994618. doi: 10.3934/dcds.2016.36.4599 
[20] 
Nikos I. Karachalios, Nikos M. Stavrakakis. Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on $\mathbb R^N$. Discrete & Continuous Dynamical Systems, 2002, 8 (4) : 939951. doi: 10.3934/dcds.2002.8.939 
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