%0 Journal Article
%T Insight into Phenomena of Symmetry Breaking Bifurcation<br>
%A FANG Tong
%A ZHANG Ying
%A <br>
%J 中国物理快报
%D 2008
%I 
%X We show that symmetry-breaking (SB) bifurcation is just a transition of different forms of symmetry, while still preserving system's symmetry. SB bifurcation always associates with a periodic saddle-node bifurcation, identifiable by a zero maximum of the top Lyapunov exponent of the system. In addition, we show a significant phase portrait of a newly born periodic saddle and its stable and unstable invariant manifolds, together with their neighbouring flow pattern of Poincaré mapping points just after the periodic saddle-node bifurcation, thus gaining an insight into the mechanism of SB bifurcation.
%K 05
%K 45
%K -a<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=58932B52983AE89317D121FAA7B35C2F&yid=67289AFF6305E306&vid=C5154311167311FE&iid=5D311CA918CA9A03&sid=B28E8FF0A5EC71B0&eid=72987ABB302603E3&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0