Global Attractor for KGS Lattice System

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

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(5): 619-630

YIN Fu-qi, ZHOU Sheng-fan, YIN Chang-ming, XIAO Cui-hui. Global Attractor for KGS Lattice System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 619-630.

Citation:

YIN Fu-qi, ZHOU Sheng-fan, YIN Chang-ming, XIAO Cui-hui. Global Attractor for KGS Lattice System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 619-630.

Citation:

YIN Fu-qi, ZHOU Sheng-fan, YIN Chang-ming, XIAO Cui-hui. Global Attractor for KGS Lattice System[J]. Applied Mathematics and Mechanics, 2007, 28(5): 619-630.

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Global Attractor for KGS Lattice System

1.
College of Mathematics and Computation Science, Xiangtan University, Xiangtan, Hunan 411105, P. R. China;

Received Date: 2006-06-27
Rev Recd Date: 2007-03-09
Publish Date: 2007-05-15

Abstract

Abstract

The longtime behavior of solutions of a coupled lattice dynamical system of Klein-Gordon Schrêdinger equation (KGS lattice system) was considered.The existence of a global attractor for the system is proved here by introducing an equivalent norm and using "End Tails" of solutions.Then the upper bound of the Kolmogorov D-entropy of the global attractor is estimated by applying element decomposition and the covering property of a polyhedron by balls of radii D in the finite dimensional space.Finally,an approximation to the global attractor is presented by the global attractors of finitedimensional ordinary differential systems.
- attractor,
- lattice dynamical system,
- the covering property,
- element decomposition approximation,

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References(13)

References

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