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Conference paper

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) — 2014
From

Department of Mechanical Engineering, Technical University of Denmark1

Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark2

Department of Applied Mathematics and Computer Science, Technical University of Denmark3

Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark4

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.

Language: English
Publisher: Technische Universität Wien
Year: 2014
Proceedings: 8th European Nonlinear Dynamics Conference
Types: Conference paper
ORCIDs: Schilder, Frank , Santos, Ilmar , Thomsen, Jon Juel and Starke, Jens

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