具有瞬时耦合及通讯时滞的调和振子同步动力学  

Synchronization of Networked Delayed Harmonic Oscillators Under Local Instantaneous Interaction

作　　者：张华[1,2] 颜青[2] 周进[1] 

机构地区：[1]上海市应用数学和力学研究所,上海200072 [2]铜仁学院数学和计算机科学系,贵州铜仁554300

出　　处：《复杂系统与复杂性科学》2012年第1期78-81,共4页Complex Systems and Complexity Science

基　　金：国家自然科学基金(10972129;10832006);教育部博士点基金(200802800015);上海市教委科技创新项目(10ZZ61);上海市重点学科建设项目(S30106);铜仁学院科研启动基金项目

摘　　要：针对具有局部瞬时耦合及通讯延时的调和振子动力网络系统,给出了一种分布式同步算法。分别在无向固定拓扑和切换拓扑两种情形下给出了同步态的解析表达式,以及耦合系统的解析解,并给出了一些一般而简单的同步化准则。结果表明网络化的调和振子在比较弱的瞬时网络连通条件下,可以达到同步状态。数值模拟表明所给理论结果的正确性和有效性。This paper presents a distributed synchronization algorithm in undirected networks of coupled harmonic oscillators having diverse communication delays under local instantaneous interaction. Some generic yet simple criteria for such algorithm over, respectively, undirected fixed and switching network topologies are given as well as the analytical synchronization states and the analytical solution of the coupled system. It is shown that the networked delayed harmonic oscillators can be synchronized under mild instantaneous network connectivity. Subsequently, numer ical simulations illustrate and visualize the effectiveness and feasibility of the theoretical results.

关 键 词：同步 网络化调和振子 局部瞬时相互作用 分布式算法 

分 类 号：O231[理学—运筹学与控制论] O317[理学—数学]