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混沌信号驱动Lorenz参量实现同步
Synchronizing Lorenz Systems with Parameters Driven by Chaotic Signal
【摘要】 介绍用外部混沌信号驱动两混沌系统的参量并实现同步的原理.以Rossler系统驱动两Lorenz系统的某一参量为例,数值模拟了该同步方法.结果表明,受混沌信号驱动的参量在一定的变化范围内,两Lorenz系统将历经非常复杂的同步过程,而不仅仅局限于简单的混沌态的同步.受驱动的两个Lorenz系统的初始态影响同步:如果两条轨道被吸引到相同的吸引域中才能达到完全同步;否则,同步不能实现.从应用角度来讲,这种演化复杂性正好增加了加密信号的无序性,提高了信号的抗破译能力.由于同步的两系统没有耦合,给实际制作模型提供了方便.
【Abstract】 The principle of synchronization between two chaotic systems whose parameters are driven by an external chaotic signal was presented. The dynamical behavior of two Lorenz systems driven by the Rssler system was studied. The numerical simulations indicate that it is undertaken complicated dynamicl processes piror to the ordinary chaos synchronization between the two Lorenz systems as their driven parameters vary to some extent. This kind of synchronization between the two parameterdriven chaotic Lorenz systems is dependent of their initial states. The two systems become synchronized only if their trajectories emanating from different initial states are attracted into the same basin of attraction; otherwise, the synchronization is not achievable. From the viewpoint of application, the complicated evolution of the chaotic signal can generate an encrypted signal with high complexity or disorder, and thus upgrades the ability of decrypt. It is practical to model two chaotic systems without coupling each other.
【Key words】 chaos synchronization; driving parameter; Lorenz system; Rssler system; basin of attraction;
- 【文献出处】 上海交通大学学报 ,Journal of Shanghai Jiaotong University , 编辑部邮箱 ,2003年10期
- 【分类号】TN911
- 【被引频次】1
- 【下载频次】71