| ID | 111895 |
| Author |
Miino, Yuu
Tokushima University
Ito, Daisuke
The University of Shiga
Ueta, Tetsushi
Tokushima University
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| Keywords | bifurcation phenomena
numerical analysis
nonlinear non-autonomous system
discontinuity
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| Content Type |
Journal Article
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| Description | 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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| Journal Title |
Chaos, Solitons & Fractals
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| ISSN | 09600779
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| NCID | AA10824244
AA11523345
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| Publisher | Elsevier
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| Volume | 77
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| Start Page | 277
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| End Page | 285
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| Published Date | 2015-07-05
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| Rights | © 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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| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Author
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| departments |
Center for Administration of Information Technology
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