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

doi:10.1088/1674-1056/22/12/120505

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (12): 120505-120505.doi: 10.1088/1674-1056/22/12/120505

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

张芳芳, 刘树堂, 余卫勇

College of Control Science and Engineering, Shandong University, Jinan 250061, China

收稿日期:2013-02-19 修回日期:2013-04-23 出版日期:2013-10-25 发布日期:2013-10-25
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61273088, 10971120, and 61001099) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2010FM010).

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

Zhang Fang-Fang (张芳芳), Liu Shu-Tang (刘树堂), Yu Wei-Yong (余卫勇)

College of Control Science and Engineering, Shandong University, Jinan 250061, China

Received:2013-02-19 Revised:2013-04-23 Online:2013-10-25 Published:2013-10-25
Contact: Zhang Fang-Fang E-mail:zhff4u@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61273088, 10971120, and 61001099) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2010FM010).

摘要/Abstract

摘要： 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.

关键词: modified projective synchronization, complex scaling factors, complex chaotic systems, speed-gradient method

Abstract: 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.

Key words: modified projective synchronization, complex scaling factors, complex chaotic systems, speed-gradient method

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)

张芳芳, 刘树堂, 余卫勇. Modified projective synchronization with complex scaling factors of uncertain real chaos and complex chaos[J]. Chin. Phys. B, 2013, 22(12): 120505-120505.

Zhang Fang-Fang (张芳芳), Liu Shu-Tang (刘树堂), Yu Wei-Yong (余卫勇). Modified projective synchronization with complex scaling factors of uncertain real chaos and complex chaos[J]. Chin. Phys. B, 2013, 22(12): 120505-120505.

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

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

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