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Computing connecting orbits via an improved algorithm for continuing invariant subspaces

delete2000-01-01
delete38
PRE
AI
D
Demmel, JW
L
Luca Dieci
M
Mark J. Friedman
DOI:10.1137/S1064827598344868delete
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摘要

摘要

En 中文
A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs was considered in [Numer. Algorithms, 14 (1997), pp. 103-124]. In this paper we present an improved algorithm for locating and continuing connecting orbits, which includes a new algorithm for the continuation of invariant subspaces. The latter algorithm is of independent interest and can be used in contexts different than the present one.
Keyword:
connecting orbits
invariant subspaces
bifurcations
numerical continuation

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

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