Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
复制标题
分数阶混沌（超混沌）系统中的滞后射影同步
DOI：
10.1016/j.physleta.2011.04.015
复制
发表时间：
2011-05-23
影响因子：
2.6
通讯作者：
Wu, Ranchao
中科院分区：
文献类型：
--
作者：
Chen, Liping;Chai, Yi;Wu, Ranchao
在这封信中，提出了一种新的分数阶混沌（超混沌）系统的滞后射影同步，包括完全同步、反同步、滞后同步、广义射影同步。结果表明，从系统将驱动器过去的状态同步到一个比例因子。基于线性分数阶系统稳定性理论和极点配置技术，设计了一种实现滞后射影同步的合适控制器。给出两个算例说明了该方案的有效性，分别成功实现了分数阶混沌Rossler系统与分数阶混沌Lu系统、分数阶超混沌Lorenz系统与分数阶超混沌Chen系统之间的滞后射影同步。并给出了相应的数值模拟来验证分析结果。 (C) 2011 Elsevier B.V. 保留所有权利。
In this Letter, a new lag projective synchronization for fractional-order chaotic (hyperchaotic) systems is proposed, which includes complete synchronization, anti-synchronization, lag synchronization, generalized projective synchronization. It is shown that the slave system synchronizes the past state of the driver up to a scaling factor. A suitable controller for achieving the lag projective synchronization is designed based on the stability theory of linear fractional-order systems and the pole placement technique. Two examples are given to illustrate effectiveness of the scheme, in which the lag projective synchronizations between fractional-order chaotic Rossler system and fractional-order chaotic Lu system, between fractional-order hyperchaotic Lorenz system and fractional-order hyperchaotic Chen system, respectively, are successfully achieved. Corresponding numerical simulations are also given to verify the analytical results. (C) 2011 Elsevier B.V. All rights reserved.