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提出了一个新的混沌系统,该系统含有五个参数,每个状态方程均含有非线性乘积项.通过理论推导,数值仿真,Lyapunov指数、Lyapunov维数、分岔图研究其基本的动力学特性,并分析了改变参数时系统的动力学行为的变化.本文研究了该系统的错位投影同步,设计了非线性控制器,实现了两个初值不同的新系统的错位投影同步.另外,将该系统及错位投影同步方法应用到保密通信中,基于改进的混沌掩盖通讯原理,在发送端使用新系统信号对信息信号进行加密及传送,最后在同步后的接收端不失真地恢复出有用信号.数值仿真表明所设计的新的混沌系统具有复杂的动力学特性,适用于保密通讯.
A new chaotic system is proposed, which contains five parameters and each state equation contains nonlinear product term.The basic dynamic characteristics of the system are studied by theoretical derivation, numerical simulation, Lyapunov exponent, Lyapunov dimension and bifurcation diagram , And analyzes the change of the dynamic behavior of the system when the parameters are changed.In this paper, the dislocation projection synchronization of this system is studied, and the nonlinear controller is designed to realize the dislocation projection synchronization of two new systems with different initial values. In addition, The system and the misalignment projection synchronization method are applied to secure communication. Based on the improved chaos masking principle of communication, a new system signal is used at the transmitting end to encrypt and transmit the information signal, and finally the useful signal is recovered without distortion after the receiving end of the synchronization The numerical simulation shows that the new chaotic system designed has complex dynamics and is suitable for secure communication.