ID | 111895 |
著者 |
Miino, Yuu
Tokushima University
伊藤, 大輔
The University of Shiga
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キーワード | bifurcation phenomena
numerical analysis
nonlinear non-autonomous system
discontinuity
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資料タイプ |
学術雑誌論文
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抄録 | We propose a computation method to obtain bifurcation sets of periodic solutions in non-autonomous systems with discontinuous properties. If the system has discontinuity for the states and/or the vector field, conventional methods cannot be applied. We have developed a method for autonomous systems with discontinuity by taking the Poincare mapping on the switching point in the preceded study, however, this idea does not work well for some non-autonomous systems with discontinuity. We overcome this difficulty by extending the system to an autonomous system. As a result, bifurcation sets of periodic solutions are solved accurately with a shooting method. We show two numerical examples and demonstrate the corresponding laboratory experiment.
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掲載誌名 |
Chaos, Solitons & Fractals
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ISSN | 09600779
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cat書誌ID | AA10824244
AA11523345
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出版者 | Elsevier
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巻 | 77
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開始ページ | 277
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終了ページ | 285
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発行日 | 2015-07-05
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権利情報 | © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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言語 |
eng
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著者版フラグ |
著者版
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部局 |
情報センター
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