Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 636-645.

• Articles • Previous Articles     Next Articles

The Uniform Attractor and Entropy of the Autonomous Coupled Nonlinear SchrÖdinger Equations on Infinite Lattices

 YANG Xin-Bo, ZHAO Cai-De, JIA Xiao-Lin   

  1. Department of Mathematics and Information Sciences, Wenzhou University, Zhejiang Wenzhou 325035
  • Received:2012-02-07 Revised:2013-05-15 Online:2013-08-25 Published:2013-08-25
  • Supported by:

    国家自然科学基金(11271290)、国家973前期预研基金(2012CB426510)、温州大学科研基金(2008YYLQ01)和温州大学研究生创新基金(31606036010129)资助

Abstract:

This paper studies the asymptotic behavior of solutions for a type of autonomous coupled nonlinear SchrÖdinger equations on infinite lattices. The authors prove the existence of the uniform attractor for this lattice systems in proper sense and give an upper bound of the Kolmogorov-ε entropy of the uniform attractor.

Key words: Lattice systems, Autonomous coupled nonlinear SchrÖdinger equations, Uniform attractors, Kolmogorov-ε entropy

CLC Number: 

  • 35B40
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