首页|Global attractor for Klein-Gordon-Schr(o)dinger lattice system

Global attractor for Klein-Gordon-Schr(o)dinger lattice system

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We considered the longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon-Schr(o)dinger equation(KGS lattice system).We first proved the existence of a global attractor for the system considered here by introducing an eqnivalent 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 giobal attractor by the global attractors of finite-dimensional ordinary differential systems.

attractorlattice dynamical systemthe covering propertyelement decompositionapproximation

YIN Fu-qi、ZHOU Sheng-fan、YIN Chang-ming、XIAO Cui-hui

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School of Mathematics and Computational Science,Xiangtan University, Xiangtan 411105,P.R.China

Mathematics and Science College,Shanghai Normal University, Shanghai 200234,P.R.China

College of Computer and Communicational Engineering, Changsha University of Science and Technology, Changsha 410076,P.R.China

国家自然科学基金Doctoral Program of Xiangtan University

1047108606QDZ07

2007

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

影响因子：0.294
ISSN：0253-4827
年,卷(期)：2007.28(5)
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