Multistability Analysis of a Fractional-Order Multi-Wing Chaotic System and its Circuit Realization

The multi-scroll or multi-wing attractor generated by the chaotic system has a complicated structure. Based on the definition of conformal fractional-order, the Adomian decomposition method is used to solve the fractional-order multi-wing chaotic system. It is worth noting that this system has been found to have at least six multi-wing chaotic attractors with different shapes. The system parameters are used as bifurcation control parameters, and multiple bifurcation behaviors and multi-wing attractors can be observed. The results show that the 0.9-order chaotic system still has multiple stable phenomena, and some typical coexistence phenomena such as period and period, period and chaos, and chaos and chaos can all be found. Finally, an analog circuit was built on the Multisim simulation software, and the chaotic system successfully carry out on the DSP board. This research gives guidance on applying the conformable fractional-order theory to nonlinear systems.