%0 Journal Article
%T A stochastic digital oscillating system induced by the truncation error<br>一个截断误差诱导下的随机数字振荡系统
%A Sheng Li-Yuan
%A Jia Wei-Yao
%A <br>盛利元
%A 贾伟尧
%J 物理学报
%D 2005
%I 
%X It is generally believed that chaotic systems will collapse due to computer truncation error. In this paper we introduce a contrary example, in which a simple system is induced to complication or chaos completely by computer truncation. The system is defined as a cross-focus system in elliptical reflecting cavity map system. The theoretical solution is a limiting sequence and the computer solution is a stochastic digital oscillating system induced from the theoretical solution by truncation error. There is only a turn-round mechanism in the system theoretically. On the other hand, round-off induces the nonhyperbolic fixed points in the system to produce a new escape mechanism of intermittent chaos.
%K truncation error
%K tangent-delay elliptical reflecting cavity map system
%K stochastic oscillation
%K intermittent chaos<br>截断误差，
%K 切延迟椭圆反射腔映射系统，
%K 随机振荡，
%K 阵发混沌
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=58B2B84CEBE27A18&yid=2DD7160C83D0ACED&vid=318E4CC20AED4940&iid=59906B3B2830C2C5&sid=CB69CC26C5E9DA05&eid=4C2B3236915811C6&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=12