%0 Journal Article
%T Projective synchronization of a five-term hyperbolic-type chaotic system with fully uncertain parameters<br>具有完全不确定参数的五项双曲型混沌系统的投影同步
%A Yu Fei
%A Wang Chun-Hu
%A Hu Yan
%A Yin Jin-Wen
%A <br>余飞
%A 王春华
%A 胡燕
%A 尹晋文
%J 物理学报
%D 2012
%I 
%X A new simple hyperbolic-type three-dimensional autonomous chaotic system is proposed. It is of interest that the chaotic system has only five terms which mainly rely on a nonlinear quadratic hyperbolic sine term and a quadratic cross-product term. Compared with other three-dimensional chaotic systems, the new system has not only less terms, but also a wider range of chaos when the parameter varies. Basic dynamical properties of the system are studied by numerical and theoretical analysis. Moreover the projective synchronization of the five-term hyperbolic-type chaotic system with fully uncertain parameters is also investigated in this paper. Based on Lyapunov stability theory and Barbalat's lemma, a new adaptive controller with parameter update law is designed to projectivly synchronize two chaotic systems asymptotically and globally, including two identical exponential-type chaotic systems and two non-identical chaotic systems. Numerical simulations show the effectiveness and the feasibility of the developed methods.
%K three-dimensional autonomous chaotic system
%K five-term hyperbolic-type chaotic system
%K projective synchronization
%K adaptive controller<br>三维自治混沌系统
%K 五项双曲型混沌系统
%K 投影同步
%K 自适应控制器
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=790A9358A1C1D655DB3C16C57EBAE62A&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=B31275AF3241DB2D&sid=4D348158DAD465DE&eid=4D348158DAD465DE&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=35