耦合混沌系统的自适应同步及其在保密通信中的应用

摘要

混沌系统同步是混沌保密通信的关键环节,要想准确恢复所传输的信息,收发双方的混沌系统必须保持同步,在实际应用中,系统参数会随着环境的变化而变化,因此研究参数未知混沌系统的同步更具有实际应用价值.针对参数完全未知的单向耦合混沌系统,实现了自适应同步,给出了严格的数学证明,并将同步的混沌系统应用到改进的混沌保密通信方案中.计算机仿真表明,混沌系统能够快速达到同步,有用信号可以有效地在接收端恢复出来.%Chaotic systems synchronization is the key step of chaos secure communications. The chaos synchronization must be realized if one wants to get the exact transformed information. In practice, the parameters is changable along with environment. In this paper, the synchronization of two unidirectionally coupled systems is proposed based on the adaptive technique when the parameters of the master system are completely unknown and different from those of the slave system. According to the Lyapunov stability theory, the rigorous proof is given for the stability of error system. Then the approach is applied to chaos-based secure communication. Numerical simulations are included to verify the effectiveness and feasibility of the proposed theorems.