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最近邻耦合网络的时空混沌同步研究
引用本文:吕翎,李钢,商锦玉,沈娜,张新,柳爽,朱佳博.最近邻耦合网络的时空混沌同步研究[J].物理学报,2010,59(9):5966-5971.
作者姓名:吕翎  李钢  商锦玉  沈娜  张新  柳爽  朱佳博
作者单位:辽宁师范大学物理与电子技术学院,大连 116029
基金项目:辽宁省自然科学基金(批准号:20082147)和辽宁省教育厅创新团队计划(批准号:2008T108)资助的课题.
摘    要:本文进行了最近邻网络的时空混沌同步研究.以时空混沌系统作为网络的节点,基于Lyapunov稳定性定理,通过确定网络的最大Lyapunov指数,得到了实现网络完全同步的条件.采用Fisher-Kolmogorov时空混沌系统作为网络节点实例进行了仿真模拟,获得了理想的同步效果.进一步研究了有界噪声影响下网络的同步性能,结果显示它具有较强的抗干扰能力.

关 键 词:同步  最近邻网络  时空混沌  Lyapunov指数
收稿时间:2009-12-24

The synchronization of spatiotemporal chaos of nearest-neighbor coupled network
Lü Ling,Li Gang,Shang Jin-Yu,Shen Na,Zhang Xin,Liu Shuang,Zhu Jia-Bo.The synchronization of spatiotemporal chaos of nearest-neighbor coupled network[J].Acta Physica Sinica,2010,59(9):5966-5971.
Authors:Lü Ling  Li Gang  Shang Jin-Yu  Shen Na  Zhang Xin  Liu Shuang  Zhu Jia-Bo
Institution:College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China;College of Physics and Electronic Technology,Liaoning Normal University,Dalian 116029,China
Abstract:The synchronization of spatiotemporal chaos in a nearest-neighbor coupled network is studied. Spatiotemporal chaos systems are taken as the nodes of the network,and the condition to realize global synchronization of the network is obtained by identifying the maximum Lyapunov exponent of the network according to Lyapunov stability theory. The nearest-neighbor coupled network with nodes of Fisher-Kolmogorov spatiotemporal chaos systems is taken as an example for simulation,the synchronization of spatiotemporal chaos for the network is checked. The synchronizing function of the network under bounded noise is further studied,and the results show that the method has good capability of anti-jamming.
Keywords:synchronization  nearest-neighbor coupled network  spatiotemporal chaos  Lyapunov exponent
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