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Technical Brief

Dual Combination Synchronization of Six Chaotic Systems

[+] Author and Article Information
Junwei Sun

School of Electric and Information Engineering,
Zhengzhou University of Light Industry,
Zhengzhou 450002, China
e-mails: cgzh@zzuli.edu.cn; junweisun@yeah.net

Suxia Jiang, Guangzhao Cui, Yanfeng Wang

School of Electric and Information Engineering,
Zhengzhou University of Light Industry,
Zhengzhou 450002, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 23, 2015; final manuscript received September 18, 2015; published online October 23, 2015. Assoc. Editor: Sotirios Natsiavas.

J. Comput. Nonlinear Dynam 11(3), 034501 (Oct 23, 2015) (5 pages) Paper No: CND-15-1137; doi: 10.1115/1.4031676 History: Received May 23, 2015; Revised September 18, 2015

Based on combination synchronization of three chaotic systems and combination–combination synchronization of four chaotic systems, a novel scheme of dual combination synchronization is investigated for six chaotic systems in the paper. Using combined adaptive control and Lyapunov stability theory of chaotic systems, some sufficient conditions are attained to realize dual combination synchronization of six chaotic systems. The corresponding theoretical proofs and numerical simulations are presented to demonstrate the effectiveness and correctness of the dual combination synchronization. Due to the complexity of dual combination synchronization, it will be more secure and interesting to transmit and receive signals in application of communication.

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Topics: Synchronization
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References

Figures

Grahic Jump Location
Fig. 1

Dual combination synchronization of the first variables

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Fig. 2

Dual combination synchronization of the second variables

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Fig. 3

Dual combination synchronization of the third variables

Grahic Jump Location
Fig. 4

Two-dimensional projection of chaotic systems: x11+y11 versus x12+y12

Grahic Jump Location
Fig. 5

Two-dimensional projection of chaotic systems: x11+y11 versus x13+y13

Grahic Jump Location
Fig. 6

Two-dimensional projection of chaotic systems: x22+y22 versus x23+y23

Grahic Jump Location
Fig. 7

Three-dimensional projection of chaotic systems: x21+y21 versus x22+y22 versus x23+y23

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