自治混沌系统普适广义投影同步理论及应用  

THEOREM OF GENERALIZED PROJECTIVE SYNCHRONIZATION FOR ANY AUTONOMOUS CHAOTIC SYSTEMS AND APPLICATIONS

作　　者：张丽丽[1] 雷友发[2] 

机构地区：[1]广东工业大学应用数学学院,广州510090 [2]仲恺农业工程学院计算科学学院,广州510225

出　　处：《动力学与控制学报》2013年第2期118-121,共4页Journal of Dynamics and Control

基　　金：广东工业大学青年教师基金资助项目(062053)~~

摘　　要：针对自治混沌系统,基于系统稳定性理论,通过设计合适的非线性反馈控制器,给出了普适的广义投影同步定理.定理中函数的选择可以为系统的线性或非线性函数,更具灵活性和普适性;文中理论还可以通过调整参数提高广义投影同步的速度.数值仿真进一步验证了本文理论的有效性和实用性.Based on the stability theory of the dynamical system, the theorem of generalized projective synchronization （GPS） for any autonomous chaotic systems was proposed, where suitable nonlinear feedback controllers were designed. The choice of the function is more feasible and flexible, because it can either be the linear function or nonlinear one. One can also improve the speed of GPS by adjusting the parameter. Numerical simulations illustrate the effectiveness of the theorem.

关 键 词：广义投影同步 自治混沌系统 非线性反馈 数值仿真 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]