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Research Papers

Finite-Time Synchronization for High-Dimensional Chaotic Systems and Its Application to Secure Communication

[+] Author and Article Information
Yongjian Liu

School of Mathematics and Information Science,
Guangxi Colleges and Universities Key
Laboratory of Complex System Optimization and
Big Data Processing,
Yulin Normal University,
No. 299, Education Central Road,
Yulin, Guangxi 537000, China
e-mail: liuyongjianmaths@126.com

Lijie Li, Yu Feng

School of Mathematics and Information Science,
Guangxi Colleges and Universities Key
Laboratory of Complex System Optimization and
Big Data Processing,
Yulin Normal University,
Yulin, Guangxi 537000, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 21, 2015; final manuscript received May 18, 2016; published online June 9, 2016. Assoc. Editor: D. Dane Quinn.

J. Comput. Nonlinear Dynam 11(5), 051028 (Jun 09, 2016) (5 pages) Paper No: CND-15-1177; doi: 10.1115/1.4033686 History: Received June 21, 2015; Revised May 18, 2016

The finite-time synchronization for the high-dimensional chaotic system is studied. A method is derived from the finite-time stability theory and adaptive control technique. To show the wider applicability of our method, an illustration is given using four-dimensional (4D) hyperchaotic systems. Numerical simulations are also used to verify the effectiveness of the technique. Then, the synchronization is applied to secure communication through chaos masking. Simulation results show that the two high-dimensional chaotic systems can realize monotonous synchronization, and the information signal, which is masked, can be recovered undistortedly.

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Figures

Grahic Jump Location
Fig. 1

Convergence of the error dynamics for two hyperchaotic systems to the origin within a finite time, showing that the master system (6) synchronizes the slave system (7) within a finite time

Grahic Jump Location
Fig. 2

Convergence of the error dynamics for two hyperchaotic systems to the origin within a finite time, showing that the master system (9) synchronizes the slave system (10) within a finite time

Grahic Jump Location
Fig. 3

Chaotic communication system

Grahic Jump Location
Fig. 4

The simulation result of secure communication

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