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

作者：Zhang Fang Fang^*; Liu Shu Tang; Yu Wei Yong

来源：Chinese Physics B, 2013, 22(12): 120505.

DOI：10.1088/1674-1056/22/12/120505

• modified projective synchronization
• complex scaling factors
• complex chaotic systems
• speed-gradient method

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.

• 出版日期2013-12
• 单位山东大学