摘要
研究从分数阶超混沌系统的动力学方程出发,根据分数阶系统的稳定性理论,设计出采用主动控制策略的同步控制器,使两个不同结构的分数阶超混沌系统实现广义投影同步.以分数阶超混沌Chen系统和分数阶超混沌Lorenz系统的广义投影同步为例进行数值模拟,仿真结果验证了该同步控制器的有效性和可行性.
Based on the stability theory of fractional-order linear systems, a new synchronous controller with the active control strategy is deduced from the dynamical equations of the fractional-order hyperchaotic systems, which is used to achieve the generalized projective synchronization of two different hyperchaotic systems. The generalized projective synchronization between the fractional-order hyperchaotic Chen system and the fractional- order hyperchaotic Lorenz system is considered as an example. Numerical results are performed to verify the effectiveness and feasibility of the presented synchronization scheme.
出处
《广西工学院学报》
CAS
2013年第2期19-24,45,共7页
Journal of Guangxi University of Technology
基金
广西自然科学基金项目(2013GXNSFAA019351
2010GXNSFA013024)
广西教育厅项目(201202ZD068
201204LX657)资助
关键词
分数阶
超混沌系统
投影同步
广义同步
fractional-order
hyperchaotic system
projective synchronization
generalized synchronization
