激光Maxwell-Bloch方程时空混沌网络的同步研究  

Study on spatiotemporal chaos network synchronization of the laser Maxwell-Bloch equation

作　　者：吕翎[1] 商锦玉[1] 朱佳博[1] 沈娜[1] 柳爽[1] 张新[1] 

机构地区：[1]辽宁师范大学物理与电子技术学院,大连116029

出　　处：《物理学报》2012年第14期70-76,共7页Acta Physica Sinica

基　　金：辽宁省自然科学基金(批准号:20082147);辽宁省教育厅创新团队计划(批准号:2008T108)资助的课题~~

摘　　要：研究了激光Maxwell-Bloch方程时空混沌网络的同步问题.对单模激光Maxwell-Bloch方程进行了修正.以N个修正后具有时空混沌特性的单模激光Maxwell-Bloch方程作为网络节点构成复杂网络.在考虑到网络连接过程中,节点时空混沌系统中的参量可能受到某种干扰而与实际值产生微小偏差的情况下,采用网络第一个节点的时空混沌系统同时并行驱动其余N-1个时空混沌系统达到同步.进一步通过仿真模拟验证了同步方案的有效性.Spatiotemporal chaos network synchronization of the laser Maxwell-Bloch equation is studied.The single-mode laser MaxwellBloch equation is amended.Then N single-mode laser Maxwell-Bloch equations amended are taken as nodes to constitute a complex network.Considering the fact that the parameters of the spatiotemporal chaos systems taken as nodes may have small deviations from the actual values because of some interference in the network connecting process,the system at the first node is take as a driven system to drive the rest of the N—1 systems in parallel to achieve synchronization.Furthermore,simulation is performed to verify the effectiveness of the method.

关 键 词：复杂网络 时空混沌同步 Lyapunov定理 激光Maxwell-Bloch方程 

分 类 号：O231[理学—运筹学与控制论] O415.5[理学—数学]