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提出了一种新型的混沌系统同步方法,即错位投影同步,要求驱动系统和响应系统中的所有状态向量,至少有一对不是按照原有的对应关系成比例同步,而是按照向量的错位关系成比例投影同步.以新型的四维超混沌Qi系统为例,分析出23种混沌系统的同步方案.针对其中一种同步,基于Lyapunov稳定性理论,设计有效的非线性控制器,实现初始值不同的两个超混沌Qi系统错位投影同步.另外,将该方法应用于混沌保密通信中,基于改进的混沌掩盖通信原理,在发送端使用超混沌信号对信息信号进行加密并发送,最后从同步后的接收端系统不失真地恢复出有用信号.数值仿真表明,该方案有着良好的通信和保密特性.
A new synchronization method of chaotic system is proposed, in which the dislocation projection synchronization requires that all the state vectors in the drive system and the response system be at least one pair not in proportion to the original correspondence, but in accordance with the misalignment of the vectors Proportional Projection Synchronization.A new four-dimensional hyperchaotic Qi system is taken as an example to analyze the synchronization schemes of 23 chaotic systems.According to one kind of synchronization, based on Lyapunov stability theory, an effective nonlinear controller is designed to realize different initial values In addition, this method is applied to chaotic secure communication. Based on the improved chaotic masking communication principle, the hyperchaotic signal is encrypted at the sending end and sent. Finally, The receiving end system can recover the useful signal without distortion.The numerical simulation shows that the scheme has good communication and security features.