Simulation and circuit implementation of 12-scroll chaotic system

Based on the typical Chua's circuit and the latest research results of multi-scroll system, a model of the new system is constructed to produce multi-scroll chaotic attractors, replacing the typical Chua's diode with the combination of sign function. The major method is to make equilibrium point located in the center of two adjacent breakpoints, and keep scrolls and bond orbits alternated with each other. The chaos generation mechanism is studied by analyzing the symmetry and invariance, the existence of the dissipation and attractor, the system equilibrium and stability. The fractal dimension, the K-S entropy, the time domain waveform and the initial value sensitivity are applied to verifying the chaotic behaviors. The numerical simulations show that the system generates n-double (n = 1, 2, 3, 4, 5, 6) scroll chaotic attractors. Finally, the design of the hardware circuit produces at a maximum of 12-scroll hardware experimental results. Theoretical analysis, numerical simulation and hardware experimental results are full matched, which further proves the existence of the system and the physical realization.