基于滑模函数分数阶Rikitake混沌系统3个同步方案设计

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Design of Three Synchronization Schemes of Fractional-Order Rikitake Chaotic Systems Based on Sliding Mode Functions

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Abstract: By using sliding mode synchronization theory and sliding mode dynamic methods, we studied sliding mode synchronization
of fractional-order Rikitake uncertain chaotic systems and drew the attractor phase diagrams of Rikitake chaotic systems. According to fractional-order calculus, we constructed three sliding mode functions, gave three synchronization schemes, and compared and analyzed three synchronization schemes. The results show that fractional-order Rikitake uncertain chaotic system can achieve sliding mode synchronization under certain conditions.

Key words: fractional-order, sliding mode, synchronization, chaotic system

CLC Number:

O415.5

MENG Jintao, MAO Beixing, WANG Dongxiao, JIAO Jianfeng, CHEN Can. Design of Three Synchronization Schemes of Fractional-Order Rikitake Chaotic Systems Based on Sliding Mode Functions[J].Journal of Jilin University Science Edition, 2025, 63(2): 595-0600.

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