%0 Journal Article
%T New methods to study the phase of chaos with multiple rotating center<br>研究多中心奇异吸引子混沌相位的新方法
%A Chen Yong-Hong
%A Zhou Tong
%A He Dai-Hai
%A Xu Jian-Xue
%A Shu Wen-Tian
%A <br>陈永红
%A 周桐
%A 何岱海
%A 徐健学
%A 苏文田
%J 物理学报
%D 2002
%I 
%X In studying the phase synchronization of chaotic oscillators, the most fundamental is to define a proper phase variable for the chaotic oscillation. The definitions of the phase of a general chaotic trajectory are investigated in this paper. Considering a great deal of chaos whose trajectory projected on a plan is not a proper rotation, we present two simple procedures to get its instantaneous phase. One procedure called the direct-decomposition method is based on the idea of decomposition. The other called the tangency method is implemented by calculating angles in the tangent space. By the comparison of the numerical results for some examples, the advantages of these methods are discussed. In conclusion, the tangency method is proper for any chaotic oscillation and therefore may be widely used in the phase synchronization of chaos.
%K chaotic synchronization
%K phase synchronization
%K proper rotator<br>混沌同步
%K 相位同步
%K 正规转动
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=707C34F762FC1205&yid=C3ACC247184A22C1&vid=987EDA49D8A7A635&iid=E158A972A605785F&sid=507521DBC725630F&eid=B60458D1AE87BCD1&journal_id=1000-3290&journal_name=物理学报&referenced_num=9&reference_num=9