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| 复杂动力学网络上的聚类同步研究 | |
| 引用本文： | 任丽平,呼文军,李建东. 复杂动力学网络上的聚类同步研究[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 85-87,113 |
| 作者姓名： | 任丽平 呼文军 李建东 |
| 作者单位： | 吕梁学院数学系 |
| 基金项目： | 大学生创新项目(CXSY201107) |
| 摘 要： | 文章主要研究节点非恒同的适应性复杂动力学网络，通过局部控制和耦合强度的适应性策略实现聚类同步．运用李雅普诺夫稳定性理论，得到了网络中聚类同步流形全局稳定的充分条件，并进一步说明了网络的内耦合矩阵、拓扑结构以及耦合强度对聚类同步的影响．最后，数值模拟验证了理论结果的有效性． |
| 关 键 词： | 复杂网络 耦合 聚类同步 控制 |
Cluster Synchronization in a Complex Dynamical Network |
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| Ren Liping Hu Wenjun Li Jiandong. Cluster Synchronization in a Complex Dynamical Network[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 85-87,113 | |
| Authors: | Ren Liping Hu Wenjun Li Jiandong |
| Affiliation: | Ren Liping Hu Wenjun Li Jiandong(Luliang University,Lishi 033000,China) |
| Abstract: | The cluster synchronization in complex network is popular. A complex dynamical network with nonidentical nodes is studied in this paper. Through the local control and the adaptive strategy of coupling strength,cluster synchronization is achieved. According to the Lyapunov stability theory, we obtain the sufficient conditions for stability of the manifold,and explain that the inner-coupling matrix,topology and coupling strength would influence on the cluster synchronization of the network. Finally,the theoretical results are verified by the numerical simulation. |
| Keywords: | complex network cluster synchronization coupling control |
| 本文献已被 CNKI 维普 等数据库收录！ | |