【摘要】 提出用广义依农映像和广义立方映像两个离散超混沌系统,在单向驱动控制信号的作用下,构建了非等同超混沌同步的驱动-响应系统,根据离散系统局域稳定性理论,确定这一系统在不同维数下出现完全同步和完全反同步、广义同步和广义反同步的解析条件,设计和构建非等同超混沌系统的实验电路,依据理论分析得到的参数范围,通过数值计算和测量实验电路,所得到的结果均与理论分析的结果相符合.研究结果表明,恰当选择单路驱动控制信号,也可实现非等同超混沌离散系统多种类型的同步.更多还原

【Abstract】 Multiple synchronization phenomena between the generalized Hénon maps and the generalized cubic map non-identical discrete-time hyperchaotic systems were observed.These two systems were unidirectionally coupled with the drive-response synchronization scheme by a single driving signal.By using the local stability theory of discrete systems,the analytical conditions of the complete synchronization,anti-synchronization and generalized synchronization for the systems in different dimensions were derived respectively.The experimental circuits for both the generalized Hénon maps and the generalized cubic map and several observed numerical simulations are also designed.Results indicate consistency with the theoretical analysis for the synchronization.更多还原