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论文类型： 期刊论文

发表时间： 2008-07-01

发表刊物： SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY

收录刊物： SCIE、EI

卷号： 51

期号： 7

页面范围： 905-915

ISSN号： 1672-1799

关键字： dynamical system; residual; global optimization

摘要： In this paper, to overcome the drawbacks of POT which minimize the reminder, not only the optimal functional with minimal residual is put forward, but also the method of global optimization is used. Under the condition of large reminder, the optimal bases can also be obtained through the method of POT(res) without the approaching of initial conditions. In addition, compared with local optimization, the advantage of global optimization is remarkable. On the one hand, we can expect that the dynamical system based on the global optimal bases will include more information than the ones based on the local optimal bases, since the global optimal bases are much more precise than the local optimal bases. On the other hand, from the point of view of error, the global optimal bases are independent of the choice of the object functional and the initial bases.