耦合的Lorenz方程格点系统解的渐近同步性  

Asymptotic Synchronization in Lattices of Coupled Non-Identical Lorenz Equations

作　　者：董旭华[1] 周盛凡[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2005年第3期251-256,共6页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10171072)

摘　　要：该文研究了一个高维耦合非恒等的Lorenz格点系统,得到了在Dirichlet边界条件下,此格点系统解的全局稳定性的一个充分条件;并且证明了在Neumann边界条件和周期边界条件下,当耦合系数充分大时,此格点系统的解具有渐近同步性.In this paper high-dimensional coupled non-identical Lorenz equations are studied. A sufficient condition for global stability of the solution to this coupled system under the Dirichlet condition is obtained. It is proved that asymptotic synchronization occurs when coupling strengths in this system under Neumann and periodic boundary conditions are sufficiently large.

关 键 词：点耗散 格点系统 渐近同步性 LORENZ方程 

分 类 号：O175[理学—数学]