In this paper, the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated. The added-order scheme and the reduced-order scheme are proposed, respectively. Based on the Laplace transformation and feedback control theory, controllers are designed such that two chaotic systems with different dimensions could be synchronized asymptotically under the presented schemes. Corresponding numerical simulations are given to show the effectiveness of the proposed schemes.

中文翻译：

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不同维数分数阶混沌系统的修正射影同步

本文研究了两个不同维数的分数阶混沌系统之间的修正射影同步问题。分别提出了加阶方案和降阶方案。基于拉普拉斯变换和反馈控制理论，设计控制器使得两个不同维度的混沌系统可以在所提出的方案下渐近同步。给出了相应的数值模拟以表明所提出方案的有效性。