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This paper investigates the chaotic dynamics and control of fractional-order chaotic systems. A high-precision numerical method based on the Grünwald–Letnikov definition is developed to explore the system's dynamics. We also design linear feedback and adaptive control strategies to achieve chaotic synchronization and system stabilization. Numerical simulations validate the effectiveness of our methods, showing successful synchronization and control of the chaotic system.
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Zhang et al. (2025) studied this question.
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