Periodic solutions of autonomous systems under discretization

被引：0
|
作者：
Bobylev, NA
Kloeden, PE
机构：
[1] INST CONTROL SCI,MOSCOW 117806,RUSSIA
[2] WEIERSTRASS INST ANGEW ANAL & STOCHAST,D-10117 BERLIN,GERMANY
[3] DEAKIN UNIV,CTR APPL DYNAM SYST & ENVIRONM MODELLING,GEELONG,VIC 3217,AUSTRALIA
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1997年 / 18卷 / 7-8期
关键词：
D O I：
10.1080/01630569708816785
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of a sequence of periodic trajectories of a general one-step numerical scheme corresponding to a null sequence of constant time-steps is established under the assumption that the autonomous ordinary differential equation has an isolated periodic solution with non-zero topological index. The convergence of the linearly interpolated numerical curve to the original invariant curve with respect to the Hausdorff metric is also shown.
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页码：659 / 665
页数：7
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