复杂网络时空混沌同步的Backstepping设计  

Spatiotemporal chaos synchronization of complex networks by Backstepping design

作　　者：李雨珊[1] 吕翎[1] 刘烨[1] 刘硕[1] 闫兵兵[1] 常欢[1] 周佳楠[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》2013年第2期159-163,共5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：利用Backstepping设计进行了复杂网络时空混沌的同步研究.首先将实现两个混沌系统同步的Backstepping设计推广到由m个时空混沌系统构成任意结构的复杂网络的同步研究中.进一步依据稳定性理论确定了网络同步时配置系数和控制增益满足的关系.整个网络实现同步仅需要在网络中的一个节点施加控制输入即可.进一步通过仿真实验验证了同步机理的有效性.Spatiotemporal chaos synchronization of complex networks by Backstepping design is investigated. Backstepping design is extended from synchronization between two chaotic systems to the synchronization of complex network constituted spatiotemporal chaotic systems. The relation between the configuration coefficient and the control gain is identified according to the stability theory. When the control input is added to any node of the network, the network synchronization is realized. Furthermore, simulation is made to verify the effectiveness of the synchronization mechanism.

关 键 词：同步 复杂网络 BACKSTEPPING设计 时空混沌 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]