Dynamical design and analysis of continuous chaos frequency modulation signal
连续混沌调频信号的动力学设计与分析

On the basis of continuous chaos time scaling, dynamical design principle of continuous chaos frequency modulation signal (CCFMS) is proposed. Subsequently, a detailed implementation by taking Colpitts circuit as the example is given. Dynamical characteristics of CCFMS are analyzed by reconstructing the attractor and computing the Lyapunov exponent. Results show that the maximum Lyapunov exponent of CCFMS is the same as that of chaotic signal. Dynamical design of CCFMS can be simply realized and its system parameters can be easily controlled, meanwhile the signal expression is consistent with the mathematical expression of CCFMS.