Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
CONNECTION TO AN ISOLATED PATH USING COMPLEX BIFURCATION SOLUTION
Masashi KANAZAWATakashi MANABENobuyoshi TOSAKA
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2003 Volume 13 Issue 1 Pages 81-95

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Abstract
Recently, a new bifurcation path to connect with an isolated solution path has been proposed. The basic idea is simply. Real solution paths of real analytic problem frequency have complex bifurcating from them and this solution path is so-called complex solution path. In this paper we propose a numerical method to obtain the complex solutions at a bifurcation point by using the arc-length method in conjunction with a bifurcation procedure. In numerical results, we show results that the complex path connects to a disjointed real path by using our method and we also demonstrate a sufficient accuracy of our results through comparisons with other existing results.
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© 2003 The Japan Society for Industrial and Applied Mathematics
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