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混沌系统的统一投影同步
Unified projective synchronization of chaotic system
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摘要: 提出一种实现混沌系统投影同步的统一方法.通过构建一个广义比例矩阵和一个合适的响应系统,建立了混沌投影同步的通用模型,依据比例矩阵的不同种类,可实现广义投影同步、错位投影同步和广义混合错位投影同步等各种类型的混沌投影同步.利用Lyapunov稳定性理论给出了相应的证明,最后以多卷波混沌系统和超混沌Qi系统为例,进行了错位投影同步和广义混合错位投影同步的数值仿真,仿真结果进一步表明了该方法的有效性.Abstract: A unified method for the projective synchronization of chaotic system is proposed in this paper.The universal model of chaotic projective synchronization is established by constructing a generalized proportion matrix and an appropriate response system.All kinds of synchronized schemes can be achieved by varying the generalized proportion matrix,including generalized projective synchronization,dislocated projective synchronization and generalized hybrid dislocated projective synchronization and so on.The stability analysis in the paper is proved using Lyapunov stability theory.Numerical simulations of generalized hybrid dislocated projective synchronization for multiscroll chaotic attractors system and hyperchaotic Qi system verify the effectiveness of the proposed method.
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