%0 Journal Article
%T Global analysis of stochastic bifurcation in a Duffing-van der Pol system<br>Duffing-van der Pol振子随机分岔的全局分析
%A Xu Wei
%A He Qun
%A Rong Hai-Wu
%A Fang Tong
%A <br>徐伟
%A 贺群
%A 戎海武
%A 方同
%J 物理学报
%D 2003
%I 
%X Stochastic bifurcation of the Duffing-van der Pol oscillators under both additive and multiplicative random excitations is studied in detail by the generalized cell mapping method using digraph.As an alternative definition,stochastic bifurcation may be defined as a sudden change in character of a stochastic attractor when the bifurcation parameter of the system passes through a critical value.It is found that under certain conditions stochastic bifurcation mostly occurs when a stochastic attractor collides with a stochastic saddle.Our study reveals that the generalized cell mapping method with digraph is also a powerful tool for global analysis of stochastic bifurcation.By this global analysis ,the mechanism of development,occurrence,and evolution of a stochastic bifurcation can be explored clearly and vividly.
%K stochastic bifurcation
%K global analysis
%K generalized cell mapping
%K stochastic attractor
%K stochastic saddle<br>随机分岔，
%K 全局分析，
%K 广义胞映射方法，
%K 随机吸引子，
%K 随机鞍
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=7C0AB65B7E64FDE7&yid=D43C4A19B2EE3C0A&vid=286FB2D22CF8D013&iid=B31275AF3241DB2D&sid=995E04834DE9F169&eid=40DE18199B7CA9BB&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=26