Global attractor for Klein-Gordon-Schrodinger lattice system  

作　　者：尹福其 周盛凡 殷苌茗 肖翠辉 

机构地区：[1]School of Mathematics and Computational Science,Xiangtan University [2]Mathematics and Science College,Shanghai Normal University [3]College of Computer and Communicational Engineering,Changsha University of Science and Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第5期695-706,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10471086);Specialized Research Fund for the Doctoral Program of Xiangtan University (No.06QDZ07)

摘　　要：We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schroedinger 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.We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schroedinger 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.

关 键 词：ATTRACTOR lattice dynamical system the covering property element decomposition APPROXIMATION 

分 类 号：O241.8[理学—计算数学]