T混沌系统的动力学分析与同步及其电路仿真  

Dynamics analysis and synchronization of T chaotic system with its circuit simulation

作　　者：王震[1] 孙卫[1,2] 

机构地区：[1]西京学院基础部,西安710123 [2]西安交通大学电子与信息工程学院,西安710049

出　　处：《物理学报》2013年第2期146-152,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10971164);陕西省自然科学基础研究基金(批准号:2011EJ001);陕西省教育厅科研计划项目(批准号:12JK1077;12JK1073);西京学院科研基金(批准号:XJ120107;XJ120108)资助的课题~~

摘　　要：针对一类T混沌系统,对系统平衡点的稳定性进行了分析,并对系统的分岔,Lyapunov指数,Poincare截面进行了数值分析.同时,针对参数已知和未知两种情形,研究其同步控制问题,利用Lyapunov函数设计并证明了系统的反馈控制器.最后运用Multisim软件设计实现了T混沌系统同步的混沌电路,验证了所提出同步方法的有效性和可实现性.The stability of equilibrium of a T chaotic system is analyzed, and the system bifurcation, Lyapunov exponent, Poincare section with numerical analysis are studied. Also, the synchronization problem with T chaotic systems with known or unknown parameters is studied in this paper. According to the Lyapunov function, feedback controller of the system is designed and has been proved. An electronic circuit is designed to realize the controller using Multisim. The simulation results demonstrate the effectiveness and realizableness of the proposed method.

关 键 词：混沌系统 同步 电路仿真 

分 类 号：O415.5[理学—理论物理]