摘要
分析了Newton-Leipnik系统中获得双混沌吸引子——上、下吸引子时初始条件的取值范围.基于Lyapunov稳定性理论和主动控制方法,实现了该混沌系统的反同步.通过选取适当的非线性控制器,不仅实现了2个完全相同的Newton-Leipnik系统的自结构反同步,而且也实现了Newton-Leipnik系统和Lorenz系统、Chen系统、Sprott-O系统之间的异结构反同步.同时,还获得了实现反同步参数所满足的条件.最后,利用数学软件Mathematica进行了数值模拟,验证了以上方法的可行性与有效性.
This paper analyzed the values ranges of initial condition in Newton-Leipnik chaotic system with double strange attractors （the upper and the lower attractor）. Based on the Lyapunov stability theory and the active control method, anti-synchronization of Newton-Leipnik chaotic system is investigated. By choosing the appropriate nonlinear controller, the anti-synchronization not only between two identical Newton-Leipnik chaotic system but particularly also between the Newton-Leipnik chaotic system and Lorenz, Chen, Sprott-O chaotic system is realized. At the same time, the conditions to achieve antisynchronization are obtained. Finally, by using Mathematica programs, numerical simulations are presented to verify the effectiveness and feasibility of the proposed anti-synchronization scheme.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2009年第4期27-32,71,共7页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10875098)
教育部科学技术研究重点项目(209128)
西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-48
NWNU-KJCXGC-03-17
NWNU-KJCXGC-03-53)
西北师范大学青年教师科研基金资助项目(NWNU-QN-07-41)
