Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions

نویسندگان

  • Xiaoyan Yang
  • Heng Liu
  • Shenggang Li
چکیده

*Correspondence: [email protected] 2Department of Applied Mathematics, Huainan Normal University, Huainan, 232038, China Full list of author information is available at the end of the article Abstract By constructing two scaling matrices, i.e., a function matrix (t) and a constant matrix W which is not equal to the identity matrix, a kind ofW – (t) synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions is investigated in this paper. Based on the fractional-order Lyapunov direct method, a controller is designed to drive the synchronization error convergence to zero asymptotically. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed method.

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تاریخ انتشار 2017