KGS格点系统的全局吸引子

尹福其; 周盛凡; 殷苌茗; 肖翠辉

KGS格点系统的全局吸引子

1.
湘潭大学数学与计算科学学院,湖南湘潭 411105;2.上海师范大学数学科学学院,上海 200234;3.长沙理工大学计算机与通信工程学院,长沙 410076

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
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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

Global Attractor for KGS Lattice System

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

摘要

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．
- 吸引子 /
- 格点动力系统 /
- 覆盖性质 /
- 元素分解 /
- 逼近
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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参考文献(13)

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KGS格点系统的全局吸引子

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).

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Global Attractor for KGS Lattice System

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KGS格点系统的全局吸引子

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).

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出版历程

Global Attractor for KGS Lattice System

计量

出版历程

目录

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).