A new chaotic system based on state space energy feedback

Multi-wing chaotic attractors are highly complex nonlinear dynamical systems. A new four-scroll chaotic attractor was found by energy feedback controlling method in this paper. Spectral analysis shows that the system in the four-wing chaotic mode has very broad frequency bandwidth, verifying its random nature, and indicating the prospect for engineering applications such as secure communications, biology, etc. Creating a chaotic system with a more complicated topological structure such as a multi-scroll or multi-wing attractor, therefore, becomes a desirable task and sometimes a key issue for many engineering applications.