A novel approach for Chua’s circuit design and its hardware implementation

Abstract

A novel circuit design approach for Chua's non-dimension state equation is proposed in this paper. First, variable-scale reduction, differential to integral conversion and time yardstick transformation are made on the Chua's non-dimension state equation. Then each module circuit based on the state equation is designed and linked with the other circuits by corresponding relationships between state variables. The circuit consists of inverted adder, integrator and inverter, and has symmetric structure. Compared with the other existing chaotic circuits, the circuit has three main characters: (1) It proposes a circuit modularization design, giving a more general design principle for a family of chaos circuits which and can be applied to circuit design of other non-dimensional state equations. (2) The circuit parameters are independent and adjustable by using inverted adder, and convenient for circuit implementation. (3) The chaotic signal spectrum can be regulated by adjusting integral resistors or capacitances, convenient for practical applications. According to this method, a novel Chua's circuit which can generate three scrolls using polynomial is designed, and corresponding hardware experiments are performed. The computer simulations are in good agreement with hardware experiment results. This confirms the feasibility of our method.