关键词:类Lorenz系统; 超混沌系统; 庞加莱映射; 线性反馈控制; 同步
New hyperchaotic system and its linear feedback synchronization
LI Chun-biao1,2, LIU Bao-bin1,2, ZHENG Xiao-chen3
(1. Dept. of Mechanical & Electrical Engineering, Jiangsu Institute of Economic & Trade Technology,Nanjing 210007, China; 2. Dept. of Electronic Technology, Jiangsu Research & Development Center of Food Safety Engineering Technology,Nanjing 210007,China; 3.University of Technology Sydney, Sydney 2007,Australia)
Abstract:Absolute term can substitute for square term for nonlinear action, when the square term in Lorenz-like system proposed by Liu is replaced by absolute term, a new hyperchaotic system containing absolute term can be constructed by using proper feedback control method. At first, gave Lyapunov exponent, phase portrait, Poincaré mapping and spectrum analysis to verify that the system was hyperchaotic. Secondly, based on linear feedback synchronization control principle, realized synchronization control of the new hyperchaotic system, this synchronization method was simple and effective. Numerical simulation shows that as long as the proper linear feedback control parameter vector is chosen, it is easy to achieve the rapid synchronization between the driving system and response system.......