Rating the performance of shooting methods for the computation of periodic orbits

被引：0

作者：

Heider, P ^{[1
]}

机构：

[1] Univ Cologne, Inst Math, D-50931 Cologne, Germany

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 01期

关键词：

periodic orbits; phase condition; conditioning number;

D O I：

10.1142/S0218127406014721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of a conditioning number for linear boundary value problems (BVP) and a stability measure for shooting methods a strategy is outlined to rate the performance of shooting methods for the calculation of periodic orbits in dynamical systems. With help of this strategy two example models are rated, with an astonishing result: the single shooting has got a, better perforance. In both cases it will be shown that the choice of phase condition has no influence on the performance.

引用

页码：199 / 206

页数：8

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[3]

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[4]

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