Abstract
We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schrödinger 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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(Communicated by GUO Xing-ming)
Project supported by the National Natural Science Foundation of China (No.10471086); Specialized Research Fund for the Doctoral Program of Xiangtan University (No.06QDZ07)
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Yin, Fq., Zhou, Sf., Yin, Cm. et al. Global attractor for Klein-Gordon-Schrödinger lattice system. Appl Math Mech 28, 695–706 (2007). https://doi.org/10.1007/s10483-007-0514-y
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DOI: https://doi.org/10.1007/s10483-007-0514-y