一种新混沌系统的动力学分析及同步和反同步  

Dynamics analysis,synchronization and anti-synchronization of novel chaotic system

作　　者：李文芳[1] 李全国[1] 

机构地区：[1]暨南大学信息科学技术学院,广州510632

出　　处：《计算机应用研究》2015年第9期2659-2663,2683,共6页Application Research of Computers

基　　金：广东省自然科学基金资助项目(07005949)

摘　　要：研究了一种新的三维自治混沌系统。通过理论分析和数值仿真表明,该动力系统具有丰富的混沌特性。基于主动控制理论与滑模控制理论,给出了一种主动滑模控制器的设计方案,并利用其实现了新混沌系统的反同步。采用扩维(使驱动系统和响应系统的维数相同)的方法,基于Lyapunov稳定性理论和自适应控制方法,给出了自适应控制器和参数自适应律,实现了不同维数混沌系统的广义同步。最后通过数值仿真验证了上述所提方法的有效性和可行性。This paper investigated a novel three-dimensional autonomous chaotic system. Theoretical analysis and computer simulations show that the system has an abundant chaotic behavior. Furthermore, based on the active control theory and sliding mode control theory,it proposed an active sliding mode controller. The new chaotic systems realized anti-synchronization in the above controller. Next, based on Lyapunov stability theory and adaptive control method,it gave the expression of adaptive con- troller and the updating rule of parameters. Different dimensions of chaotic systems with unknown parameters achieve genera- lized synchronization in the add-dimension method. Eventually, it validated the above theoretic results in numerical simulations.

关 键 词：混沌系统 奇怪吸引子 主动滑模控制 反同步 不同维数 广义同步 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]