A simplest Lorenz-like chaotic circuit and its applications in secure communication and weak signal detection

This paper is devoted to introduce a simplest Lorenz-like chaotic circuit and the calculation of Hamiltonian energy function for the corresponding dimensionless Lorenz-like chaotic system, as well as its applications in weak signal detection and chaotic secure communication. First, a simplest Lorenz-like chaotic circuit composed of three operational amplifiers and two analog multipliers is constructed through simplified circuit design based on a Lorenz chaotic circuit composed of six operational amplifiers and two analog multipliers. Then, the weak signal detection problem of the corresponding Lorenz-like chaotic system is studied by utilizing the extreme sensitivity of chaotic system to initial value in consideration of the inaccuracy of traditional detection methods. Furthermore, the Hamiltonian energy function of the Lorenz-like chaotic system is calculated based on the Helmholtz theorem. In addition, the simplest Lorenz-like chaotic circuit is applied to construct a chaotic secure communication system using the active control synchronization method. Accordingly, the hardware circuits are implemented to prove the effectiveness and feasibility of the simplest Lorenz-like chaotic circuit and the chaotic secure communication circuit.