Analysis and Synchronization of a Novel Multi-wing Chaotic System

This paper proposes a novel three-dimensional autonomous chaotic system, in which some properties can be achieved for the system by analyzing the Lyapunov exponent spectrum and bifurcation diagrams. The double invariable Lyapunov exponent spectra are locked when the parameters of the nonlinear terms vary, and the amplitude and phase of the locked chaotic systems can be modulated. Based on the equilibrium point of the system and the topology of the chaotic attractor, we can extend the saddle-focus balance point of index two in a certain direction by constructing a multi-sectioned square function with even symmetry. This new system can then achieve multi-wing extension.We designed a multi-wing chaotic circuit in order to verify the consistency of the circuit implementation and simulation results. Finally, by selecting the appropriate drive signals, the simulation results verified that the response system and the drive system with extended wings achieve synchronization.