A new butterfly attractor based on Chua's circuit and its application in security communication

In this paper, the security communication system that works on a high-performance statues is constructed with Chua's circuits. Chua's circuit is paradigm circuit of chaotic system, which exhibits a variety of chaotic behaviors. A synthesized signal in the improved circuit servers as masking signal in security communication system is got through prodding the signals of Chua's circuit, which is a simple and efficient way to improve Chua's circuit. A new four wings butterfly attractor is witnessed in the improved circuit, which is more chaotic and complex comparing to the “Double Scroll” attractor. The simulation result of synchronizing the improved Chua's circuits turns out the improved circuits can be easy controlled by using bidirectional coupling synchronization. Inspired by the improvement and synchronization of Chua's circuit, the security communication system is constructed with two groups of synchronized Chua's circuits that can reproduce the improved signal which serve as the masking signal of it. The evaluation of this system with a sawtooth signal shows this system is work at a high performance of security status. As this system is flexible, expandable and easy to be achieved with electronic elements, DSP and other integrated digital circuits, it is quite worthy of a further study.