Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves

Emil Bureau, Frank Schilder, Ilmar Santos, Jon Juel Thomsen, Jens Starke

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Abstract

We show how to implement control-based continuation in a nonlinear experiment using existing and freely available software. We demonstrate that it is possible to track the complete frequency response, including the unstable branches, for a harmonically forced impact oscillator.
Original languageEnglish
Title of host publicationProceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)
Number of pages2
PublisherTechnische Universität Wien
Publication date2014
Publication statusPublished - 2014
Event8th European Nonlinear Dynamics Conference - Vienna, Austria
Duration: 6 Jul 201411 Jul 2014
Conference number: 8
http://enoc2014.conf.tuwien.ac.at/index.php/welcome

Conference

Conference8th European Nonlinear Dynamics Conference
Number8
CountryAustria
CityVienna
Period06/07/201411/07/2014
Internet address

Cite this

Bureau, E., Schilder, F., Santos, I., Thomsen, J. J., & Starke, J. (2014). Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves. In Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014) Technische Universität Wien.