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KGS格点系统的全局吸引子

尹福其 周盛凡 殷苌茗 肖翠辉

尹福其, 周盛凡, 殷苌茗, 肖翠辉. KGS格点系统的全局吸引子[J]. 应用数学和力学, 2007, 28(5): 619-630.
引用本文: 尹福其, 周盛凡, 殷苌茗, 肖翠辉. KGS格点系统的全局吸引子[J]. 应用数学和力学, 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.

KGS格点系统的全局吸引子

基金项目: 国家自然科学基金资助项目(10471086)
详细信息
    作者简介:

    尹福其(1970- ),男,湖南湘潭人,博士(联系人.Fax:+86-732-8292400;E-mail:fuqiyine@xtu.edu.cn).

  • 中图分类号: O175.1;O175.7

Global Attractor for KGS Lattice System

  • 摘要: 考虑了对应于Klein-Gordon-Schrdinger方程的格点系统(KGS格点系统)的解的长时间行为.首先通过引入一个加权范数与采用解的“切尾”法,证明了全局吸引子的存在性.在此基础上,采用元素分解法与多面体的球覆盖性质, 得到了此吸引子的Kolmogorov δ-熵的上界的一个估计.最后,我们用有限维的常微分方程的全局吸引子逼近它.
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出版历程
  • 收稿日期:  2006-06-27
  • 修回日期:  2007-03-09
  • 刊出日期:  2007-05-15

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