Cluster synchronization in fractional-order complex dynamical networks
Cluster synchronization in fractional-order complex dynamical networks
复制标题
分数阶复杂动态网络中的簇同步
DOI：
10.1016/j.physleta.2012.05.060
复制
发表时间：
2012-07-16
影响因子：
2.6
通讯作者：
Ma, Tiedong
中科院分区：
文献类型：
--
作者：
Chen, Liping;Chai, Yi;Ma, Tiedong
在字母中讨论了与分数动力节点的复杂动力网络的群集同步。通过使用分数阶差分系统和线性固定控制的稳定性理论，得出了具有分数阶动力学的复杂网络中同步行为稳定性的足够条件。只有一个社区中与其他社区中的节点有直接连接的节点需要受到控制，从而降低了控制成本。提出了一个数值示例，以证明获得的结果的有效性和可行性。数值模拟表明，分数阶复合动力网络的群集同步性能受内部耦合矩阵，控制增益，耦合强度和网络拓扑结构的影响。 （c）2012 Elsevier B.V.保留所有权利。
Cluster synchronization of complex dynamical networks with fractional-order dynamical nodes is discussed in the Letter. By using the stability theory of fractional-order differential system and linear pinning control, a sufficient condition for the stability of the synchronization behavior in complex networks with fractional order dynamics is derived. Only the nodes in one community which have direct connections to the nodes in other communities are needed to be controlled, resulting in reduced control cost. A numerical example is presented to demonstrate the validity and feasibility of the obtained result. Numerical simulations illustrate that cluster synchronization performance for fractional-order complex dynamical networks is influenced by inner-coupling matrix, control gain, coupling strength and topological structures of the networks. (C) 2012 Elsevier B.V. All rights reserved.