<tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="4" style="border: 0px !important;">関連名称</th> <td class="multiple-line">10.1142/S0218127415501850</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">出版タイプ</th> <td class="multiple-line">AM</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">出版タイプResource</th> <td><a href="http://purl.org/coar/version/c_ab4af688f83e57aa" target='_blank'>http://purl.org/coar/version/c_ab4af688f83e57aa</a></td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">タイトル</th> <td class="multiple-line">Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">内容記述</th> <td class="multiple-line">We propose a resilient control scheme to avoid catastrophic transitions associated with saddle-node bifurcations of periodic solutions. The conventional feedback control schemes related to controlling chaos can stabilize unstable periodic orbits embedded in strange attractors or suppress bifurcations such as period-doubling and Neimark-Sacker bifurcations whose periodic orbits are kept existing through bifurcation processes. However, it is impossible to apply these methods directly to a saddle-node bifurcation since the corresponding periodic orbit disappears after such a bifurcation. In this paper, we define a pseudo periodic orbit which can be obtained using transient behavior right after the saddle-node bifurcation, and utilize it as reference data to compose a control input. We consider a pseudo periodic orbit at a saddle-node bifurcation in the Duffing equations as an example, and show its temporary attraction. Then we demonstrate suppression control of this bifurcation, and show robustness of the control. As a laboratory experiment, a saddle-node bifurcation of limit cycles in the BVP oscillator is explored. A control input generated by a pseudo periodic obit can restore a stable limit cycle which disappeared after the saddle-node bifurcation.</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">主題</th> <td class="multiple-line">Catastrophic transition</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">主題</th> <td class="multiple-line">saddle-node bifurcation</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">主題</th> <td class="multiple-line">unstable periodic orbit</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">主題</th> <td class="multiple-line">pseudo periodic orbit</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">主題</th> <td class="multiple-line">suppression of bifurcation</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子タイプ</th> <td class="multiple-line">ISSN</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子</th> <td class="multiple-line">02181274</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子タイプ</th> <td class="multiple-line">ISSN</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子</th> <td class="multiple-line">17936551</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子タイプ</th> <td class="multiple-line">NCID</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">収録物識別子</th> <td class="multiple-line">AA10810319</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">出版者</th> <td class="multiple-line">World Scientific</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">権利情報</th> <td class="multiple-line">Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 25, No. 13, 2015, 1550185, DOI: 10.1142/S0218127415501850 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">識別子</th> <td class="multiple-line">296427</td> </tr> <tr style="border: 0px !important;"> <th scope="row" style="border: 0px !important;"></th> <th scope="row" colspan="5" style="border: 0px !important;">言語</th> <td class="multiple-line">eng</td> </tr>

Item type						文献 / Documents(1)
公開日						2018-08-17
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	アクセス権					open access
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	資源タイプ識別子					http://purl.org/coar/resource_type/c_6501
	資源タイプ					journal article
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		関連識別子				https://doi.org/10.1142/S0218127415501850
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著者						上田, 哲史 × 上田, 哲史 WEKO 98 徳島大学 教育研究者総覧 10746/profile-ja.html e-Rad 00243733 ja 上田, 哲史 ISNI ja-Kana ウエタ, テツシ en Ueta, Tetsushi Search repository 伊藤, 大輔 × 伊藤, 大輔 ja 伊藤, 大輔 ja-Kana イトウ, ダイスケ en Ito, Daisuke Search repository 合原, 一幸 × 合原, 一幸 ja 合原, 一幸 ja-Kana アイハラ, カズユキ en Aihara, Kazuyuki Search repository
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書誌情報						en : International Journal of Bifurcation and Chaos 巻 25, 号 13, p. 1550185, 発行日 2015-12-15
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