%0 Journal Article
%T Bifurcation control and chaos in a linear impulsive system<br>
%A Jiang Gui-Rong
%A Xu Bu-Gong
%A Yang Qi-Gui
%A <br>
%J 中国物理 B
%D 2009
%I 
%X Bifurcation control and the existence of chaos in a class of linear impulsive systems are discussed by means of both theoretical and numerical ways. Chaotic behaviour in the sense of Marotto's definition is rigorously proven. A linear impulsive controller, which does not result in any change in one period-1 solution of the original system, is proposed to control and anti-control chaos. The numerical results for chaotic attractor, route leading to chaos, chaos control, and chaos anti-control, which are illustrated with two examples, are in good agreement with the theoretical analysis.
%K periodic solution
%K bifurcation control
%K chaos
%K controller<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=53C8E2C6FA2CAD6AEB392C31E1440EC8&yid=DE12191FBD62783C&vid=13553B2D12F347E8&iid=59906B3B2830C2C5&sid=91FFC7A2A9312392&eid=12ED737EC56C3D1C&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=0