| Global attractor for Klein-Gordon-Schrodinger lattice system |
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| 引用本文： | 尹福其,周盛凡,殷苌茗,肖翠辉. Global attractor for Klein-Gordon-Schrodinger lattice system[J]. 应用数学和力学(英文版), 2007, 28(5) |
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| 作者姓名： | 尹福其 周盛凡 殷苌茗 肖翠辉 |
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| 作者单位： | School of Mathematics and Computational Science Xiangtan University，Mathematics and Science College，Shanghai Normal University，College of Computer and Communicational Engineering，Changsha University of Science and Technology，School of Mathematics and Computational Science，Xiangtan University，Xiangtan 411105，P. R. China，Shanghai 200234，P. R. China，Changsha 410076，P. R. China，Xiangtan 411105，P. R. China |
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| 摘 要： | We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schrodinger equation (KGS lattice system). We first proved the existence of a global attractor for the system considered here by introducing an equivalent norm and using "End Tails" of solutions. Then we estimated the upper bound of the Kolmogorov delta-entropy of the global attractor by applying element decomposition and the covering property of a polyhedron by balls of radii delta in the finite dimensional space. Finally, we presented an approximation to the global attractor by the global attractors of finite-dimensional ordinary differential systems.
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Global attractor for Klein-Gordon-Schr(o)dinger lattice system |
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| YIN Fu-qi,ZHOU Sheng-fan,YIN Chang-ming,XIAO Cui-hui. Global attractor for Klein-Gordon-Schr(o)dinger lattice system[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(5) |
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| Authors: | YIN Fu-qi ZHOU Sheng-fan YIN Chang-ming XIAO Cui-hui |
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| Abstract: | We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schrodinger equation (KGS lattice system). We first proved the existence of a global attractor for the system considered here by introducing an equivalent norm and using "End Tails" of solutions. Then we estimated the upper bound of the Kolmogorov delta-entropy of the global attractor by applying element decomposition and the covering property of a polyhedron by balls of radii delta in the finite dimensional space. Finally, we presented an approximation to the global attractor by the global attractors of finite-dimensional ordinary differential systems. |
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| Keywords: | attractor lattice dynamical system the covering property element decomposition approximation |
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