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

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

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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 language	English
Title of host publication	Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)
Number of pages	2
Publisher	Technische Universität Wien
Publication date	2014
Publication status	Published - 2014
Event	8th European Nonlinear Dynamics Conference - Vienna, Austria Duration: 6 Jul 2014 → 11 Jul 2014 Conference number: 8 http://enoc2014.conf.tuwien.ac.at/index.php/welcome

Conference

Conference	8th European Nonlinear Dynamics Conference
Number	8
Country/Territory	Austria
City	Vienna
Period	06/07/2014 → 11/07/2014
Internet address	http://enoc2014.conf.tuwien.ac.at/index.php/welcome

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Experiments in nonlinear dynamics

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@inproceedings{b2eaecaf0dca4d078b4ca1161655d2c4,

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

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.",

author = "Emil Bureau and Frank Schilder and Ilmar Santos and Thomsen, {Jon Juel} and Jens Starke",

year = "2014",

language = "English",

booktitle = "Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)",

publisher = "Technische Universit{\"a}t Wien",

note = "8th European Nonlinear Dynamics Conference, ENOC ; Conference date: 06-07-2014 Through 11-07-2014",

url = "http://enoc2014.conf.tuwien.ac.at/index.php/welcome",

}

Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves. / Bureau, Emil; Schilder, Frank ; Santos, Ilmar et al.
Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014). Technische Universität Wien, 2014.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves

AU - Bureau, Emil

AU - Schilder, Frank

AU - Santos, Ilmar

AU - Thomsen, Jon Juel

AU - Starke, Jens

N1 - Conference code: 8

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

M3 - Article in proceedings

BT - Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)

PB - Technische Universität Wien

T2 - 8th European Nonlinear Dynamics Conference

Y2 - 6 July 2014 through 11 July 2014

ER -

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

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