Abstract：This paper initiates a novel approach to generate multi-wing butterfly attractor from the Liu chaotic system. The main idea is to increase the number of index-2 saddle-focus of chaotic system. By substitution of multi-segment quadratic function, the Liu′s chaotic system is designed to create many index-2 saddle-focus and generate multi-wing butterfly attractor. Theoretical analysis shows that every index-2 equilibrium point corresponds to unique wing in the butterfly attractor. The simulation demostrates the feasibility and effectiveness of the proposed method.
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