%0 Journal Article
%T Topological horseshoe analysis for a three-dimensional four-wing autonomous chaotic system<br>一个三维四翼自治混沌系统的拓扑马蹄分析
%A Jia Hong-Yan
%A Chen Zeng-Qiang
%A Ye Fei
%A <br>贾红艳
%A 陈增强
%A 叶菲
%J 物理学报
%D 2011
%I 
%X Based on topological horseshoe map theory, the paper analyses the existence of topological horseshoe in a 3-D four-wing chaotic system. As the chaotic system is continuous, the paper first choses a Poincaré section, then under which defines a first return Poincaré map. A conclusion that the Poincaré map is semi-conjugate to 2-shift map can be obtained by utilizing computer-assisted verification, showing that the topological entropy of the 3-D four-wing system is larger than or equal to ln2, which further verifies the chaotic characteristic of the system.
%K 四翼混沌系统
%K 拓扑马蹄
%K Poincaré映射
%K 拓扑熵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=6708EA0ABC4B4B1040A5502883E01FEE&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=CA4FD0336C81A37A&sid=3CA71005DE578F13&eid=3CA71005DE578F13&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=35