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Journal of Difference Equations and Applications Volume 14, 2008 - Issue 9
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Original Articles

Attractors for second order periodic lattices with nonlinear damping

J.C. Oliveira Departamento de Matemática, Universidade Federal de Santa Catarina, CEP 88040-900, Florianópolis, SC, BrasilView further author information
,
J.M. Pereira Departamento de Matemática, Universidade Federal de Santa Catarina, CEP 88040-900, Florianópolis, SC, BrasilView further author information
&
G. Perla Menzala National Laboratory of Scientific Computation LNCC/MCT, Avenue Getulio Vargas 333, Petropolis, RJ, 25651-070, Brasil; Institute of Mathematics, Federal University of Rio de Janeiro, P.O. Box 68530, Rio de Janeiro, RJ, BrasilCorrespondence[email protected]
Pages 899-921 | Received 11 Jun 2007, Accepted 12 Oct 2007, Published online: 13 Aug 2008

Citations (19)

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Read on this site (2)

Vimal Singh. (2011) New criteria for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity. Journal of Difference Equations and Applications 17:9, pages 1281-1290.
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T. Caraballo, F. Morillas & J. Valero. (2011) Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Journal of Difference Equations and Applications 17:2, pages 161-184.
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Articles from other publishers (17)

Ahmed Y. Abdallah. (2023) Random Uniform Attractors for First Order Stochastic Non-Autonomous Lattice Systems. Qualitative Theory of Dynamical Systems 22:2.
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Lei Na & Zhou Shengfan. (2021) Upper semicontinuity of uniform attractors fornon-autonomous lattice systems under singular perturbations. SCIENTIA SINICA Mathematica 52:10, pages 1121.
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Ahmed Y. Abdallah, Heba N. Abu-Shaab, Taqwa M. Al-Khader & Rania T. Wannan. (2022) Dynamics of non-autonomous first order lattice systems in weighted spaces. Journal of Mathematical Physics 63:10.
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Ahmed Y. Abdallah, Taqwa M. Al-Khader & Heba N. Abu-Shaab. (2022) Attractors of the Klein-Gordon-Schrödinger lattice systems with almost periodic nonlinear part. Discrete and Continuous Dynamical Systems - B 27:11, pages 6481.
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Jardel Morais Pereira. (2021) Attractors for dissipative lattice differential equations with local and nonlocal nonlinearities. Electronic Journal of Differential Equations 2021:01-104, pages 65.
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Ahmed Y. Abdallah. (2021) Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part. Qualitative Theory of Dynamical Systems 20:2.
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Rania T. Wannan & Ahmed Y. Abdallah. (2020) Long-Time Behavior of Non-Autonomous FitzHugh–Nagumo Lattice Systems. Qualitative Theory of Dynamical Systems 19:3.
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Ahmed Y. Abdallah. (2016) Attractors for second order lattice systems with almost periodic symbols in weighted spaces. Journal of Mathematical Analysis and Applications 442:2, pages 761-781.
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Ahmed Y. Abdallah. (2016) Asymptotic Dynamics of Second Order Nonautonomous Systems on Infinite Lattices. International Journal of Bifurcation and Chaos 26:01, pages 1650003.
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Min Zhao & Shengfan Zhou. (2015) Random attractor of non-autonomous stochastic Boussinesq lattice system. Journal of Mathematical Physics 56:9.
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Jáuber Cavalcante Oliveira, Jardel Morais Pereira & Gustavo Perla Menzala. (2015) Long time dynamics of a multidimensional nonlinear lattice with memory. Discrete and Continuous Dynamical Systems - Series B 20:8, pages 2715-2732.
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Min Zhao & Shengfan Zhou. (2015) Pullback and Uniform Exponential Attractors for Nonautonomous Boussinesq Lattice System. International Journal of Bifurcation and Chaos 25:08, pages 1550100.
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Shengfan Zhou, Hong Chen & Zhaojuan Wang. (2014) Pullback Exponential Attractor for Second Order Nonautonomous Lattice System. Discrete Dynamics in Nature and Society 2014, pages 1-10.
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Shengfan Zhou & Min Zhao. (2014) Uniform Exponential Attractor for Second Order Lattice System with Quasi-Periodic External Forces in Weighted Space. International Journal of Bifurcation and Chaos 24:01, pages 1450006.
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Min Zhao & Shengfan Zhou. (2013) Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation. Discrete Dynamics in Nature and Society 2013, pages 1-6.
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Ahmed Y. Abdallah. (2011) Uniform exponential attractors for first order non-autonomous lattice dynamical systems. Journal of Differential Equations 251:6, pages 1489-1504.
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Jáuber C. Oliveira & Jardel M. Pereira. (2010) Global attractor for a class of nonlinear lattices. Journal of Mathematical Analysis and Applications 370:2, pages 726-739.
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