混沌保密通信中关键非线性动力学问题研究

A uniform theory and scheme of the identical self-synchronization are proposed based on the stability theory of the danamical system. The sensitivity to initial conditions only reflect in Lyapunov exponents, so Lyapunov exponents do not take as the criterion of system producing chaos. The negativity of Lyapunov exponents and the zero or negative of derivative of Lyapunov function is only used as a criterion of the identical self-synchronization, but is not the that of the general coupling systems. The chaotic masking of the generalized synchronization is proposed based the theory of of the generalized synchronization to overcome shortcoming of masking of the identical self-synchronization. We analyze the sensitive errors of chaotic synchronization, the errors of delay synchronization and the frequency characteristic of the chaotic system, so we prove that chaotic signal can not be used as the carrier wave of the wireless communication. Finally, we propose two research projects: one is the receiving of stochastic resonance in chaotic communication, other is the rebuilding mathematic model from spread spectrum sequence.

以非线性动力学已取得的科研成果为基础，按照现代保密通信的基.本框架和技术要求，对壳盎煦绫Ｃ芡ㄐ诺难芯肯肿唇腥险孀芙?。提出目前混沌保密通信研究中存在的问题，发展非线性动力学理.论对提出的问题进行认真研究，使之解决具有实时语音信号传输的.混沌保密通信中的关键技术。同时，也从工程技术的角度研究非线.性动力学中的这些重要的理畚侍狻