%0 Journal Article
%T Dynamical properties of discontinuous and noninvertible two-dimensional map<br>不连续不可逆二维映象的动力学特性
%A Dai Jun
%A Chu Xiang-Sheng
%A He Da-Ren
%A <br>戴 俊
%A 褚翔升
%A 何大韧
%J 物理学报
%D 2006
%I 
%X This paper reports five different features in piecewise continuous and noninvertible system described by two conservative maps or one conservative map and another dissipative map. The features are as follows: the stochastic web bounded by images of discontinuous borderline is the only chaotic trajectory; phase collapse is caused by the irreversibility which makes some points to have two pre-images; fat fractal forbidden web induced by irreversibility; riddled-like attraction basin in stochastic web and forbidden web, when there are different attractors coexisting; and the impossibility to tell to which attractor an initial condition will approach. In an integrate-and-fire circuit, we find that the features still exist in the circuit system described by two dissipative maps, so they are common features in discontinuous and noninvertible maps.
%K stochastic web
%K forbidden web
%K riddled-like attraction basin<br>随机网
%K 禁区网
%K 点滴状吸引域
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=A8FEE8D2EA823749&yid=37904DC365DD7266&vid=E514EE58E0E50ECF&iid=5D311CA918CA9A03&sid=241BAF8374E07FDD&eid=DDFCDE91AC9BF596&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=32