A computation method for non-autonomous systems with discontinuous characteristics

Yuu Miino, Daisuke Ito and Tetsushi Ueta

Chaos, Solitons & Fractals, 2015, vol. 77, issue C, 277-285

Abstract: 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 Poincaré 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.

Keywords: Bifurcation phenomena; Numerical analysis; Nonlinear non-autonomous system; Discontinuity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:277-285

DOI: 10.1016/j.chaos.2015.06.014

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