Modified projective synchronization with complex scaling factors of uncertain real chaos and complex chaos

To increase the variety and security of communication, we present the definitions of modified projective synchronization with complex scaling factors （CMPS） of real chaotic systems and complex chaotic systems, where complex scaling factors establish a link between real chaos and complex chaos. Consi...

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Bibliographic Details
Published in:Chinese physics B 2013-12, Vol.22 (12), p.141-151
Main Author: 张芳芳 刘树堂 余卫勇
Format: Article
Language:English
Subjects:
Chaos theory
Convergence
Dynamical systems
Dynamics
Mathematical models
Robustness
Scaling factors
Synchronism
Synchronization
供电方案
动态控制
因子和
投影同步
收敛速度
混沌系统
缩放
高稳定性
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Summary:To increase the variety and security of communication, we present the definitions of modified projective synchronization with complex scaling factors （CMPS） of real chaotic systems and complex chaotic systems, where complex scaling factors establish a link between real chaos and complex chaos. Considering all situations of unknown parameters and pseudo-gradient condition, we design adaptive CMPS schemes based on the speed-gradient method for the real drive chaotic system and complex response chaotic system and for the complex drive chaotic system and the real response chaotic system, respectively. The convergence factors and dynamical control strength are added to regulate the convergence speed and increase robustness. Numerical simulations verify the feasibility and effectiveness of the presented schemes.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/12/120505