Compared with chaotic systems over the real number field, complex chaotic dynamics have some unique properties. In this paper, a kind of novel hybrid synchronizations of complex chaotic systems is discussed analytically and numerically. Between two nonidentical complex chaotic systems, modified projective synchronization (MPS) in the modulus space and complete synchronization in the phase space are simultaneously achieved by means of active control. Based on the Lyapunov stability theory, a controller is developed, in which time delay as an important consideration is involved. Furthermore, a switch-modulated digital secure communication system based on the proposed synchronization scheme is carried out. Different from the previous works, only one set of drive-response chaotic systems can implement switch-modulated secure communication, which could simplify the complexity of design. Furthermore, the latency of a signal transmitted between transmitter and receiver is simulated by channel delay. The corresponding numerical simulations demonstrate the effectiveness and feasibility of the proposed scheme.
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July 2016
Research-Article
Hybrid Delayed Synchronizations of Complex Chaotic Systems in Modulus-Phase Spaces and Its Application
Luo Chao
Luo Chao
School of Information Science and Engineering,
Shandong Normal University,
Jinan 250014, China;
Shandong Normal University,
Jinan 250014, China;
Shandong Provincial Key Laboratory
for Novel Distributed Computer Software Technology,
Jinan 250014, China
e-mail: cluo79@gmail.com
for Novel Distributed Computer Software Technology,
Jinan 250014, China
e-mail: cluo79@gmail.com
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Luo Chao
School of Information Science and Engineering,
Shandong Normal University,
Jinan 250014, China;
Shandong Normal University,
Jinan 250014, China;
Shandong Provincial Key Laboratory
for Novel Distributed Computer Software Technology,
Jinan 250014, China
e-mail: cluo79@gmail.com
for Novel Distributed Computer Software Technology,
Jinan 250014, China
e-mail: cluo79@gmail.com
1Corresponding author.
Manuscript received April 21, 2015; final manuscript received November 3, 2015; published online December 10, 2015. Assoc. Editor: D. Dane Quinn.
J. Comput. Nonlinear Dynam. Jul 2016, 11(4): 041010 (8 pages)
Published Online: December 10, 2015
Article history
Received:
April 21, 2015
Revised:
November 3, 2015
Citation
Chao, L. (December 10, 2015). "Hybrid Delayed Synchronizations of Complex Chaotic Systems in Modulus-Phase Spaces and Its Application." ASME. J. Comput. Nonlinear Dynam. July 2016; 11(4): 041010. https://doi.org/10.1115/1.4031956
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