Combination complex synchronization among three incommensurate fractional-order chaotic systems

Volume 16, Issue 3, pp 308--323 http://dx.doi.org/10.22436/jmcs.016.03.02

Publication Date: September 15, 2016 Submission Date: March 01, 2016

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Authors

Cuimei Jiang - College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China. Changan Liu - Department of Mathematics, University of Houston, Houston 77024, U. S. A. Shutang Liu - College of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China. Fangfang Zhang - School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, P. R. China.

Abstract

The problem of combination complex synchronization among three incommensurate fractionalorder chaotic systems is considered. Based on the stability theory of incommensurate fractional-order systems and the feedback control technique, some robust criteria on combination complex synchronization are presented. Notably, the proposed combination complex synchronization can establish a link between the incommensurate fractional-order complex chaos and real chaos. Moreover, three numerical simulations are provided, which agree well with the theoretical analysis.

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Keywords

• Combination complex synchronization
• chaotic complex system
• fractional-order system
• feedback control technique.

MSC

•  34D06
•  34C28

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