著者

平岡 裕章 小川 知之 Konstantin Mischaikow

出版者

一般社団法人 日本応用数理学会

雑誌

日本応用数理学会論文誌 (ISSN:24240982)

巻号頁・発行日

vol.13, no.2, pp.191-211, 2003-06-25 (Released:2017-04-08)

参考文献数

15

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This paper presents a numerical verification method for global bifurcation branches of the stationary solutions to dissipative partial differential equations. The key idea is combining verification method based on the Conley Index Theory with a branch chasing algorithm. In this paper, the verification algorithm is described in detail by taking the Swift-Hohenberg equation as an example. Some of the rigorous numerical results are also shown.