ID 111895
Author
Miino, Yuu Tokushima University
Ito, Daisuke The University of Shiga
Keywords
bifurcation phenomena
numerical analysis
nonlinear non-autonomous system
discontinuity
Content Type
Journal Article
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.
Journal Title
Chaos, Solitons & Fractals
ISSN
09600779
NCID
AA10824244
AA11523345
Publisher
Elsevier
Volume
77
Start Page
277
End Page
285
Published Date
2015-07-05
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/
EDB ID
295348
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Author
departments
Center for Administration of Information Technology