Publications

List of Publications from the FTP Project

Books and Bookchapters:

[1] Marschler, C., Sieber, J., Hjorth, P. & Starke, J. (2014). Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow. 16 pages in Boltes, M., Chraibi, M., Schadschneider, A., Seyfried, A. (Eds.): Traffic and Granular Flow. Springer-Verlag, Heidelberg, New York. In Press.

[2] Harry Dankowicz and Frank Schilder. Recipes for continuation, volume 11 of Compu- tational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2013.

[3] Starke, J. (2010). Nonlinear dynamics in engineering and science. Textbook for graduate course. 220 Pages. Technical University of Denmark, Department of Mathematics. ISBN 87-88764-82-6.

Journal Publications:

[4] Marschler, C., Sieber, J., Berkemer, R., Kawamoto, A. & Starke, J. (2014). Implicit methods for equation-free analysis: Convergence results and analysis of emergent waves in microscopic traffic models. SIAM Journal on Applied Dynamical Systems. Accepted for publication. See http://arxiv.org/abs/1301.6044v3.

[5] Bureau, E., Schilder, F., Elmegård, M., Santos, I., Thomsen, J., Starke, J. (2014). Experimental Bifurcation Analysis of an Impact Oscillator – Determining Stability. Journal of Sound and Vibration. Accepted for publication.

[6] Claudia Wulff and Frank Schilder. Relative Lyapounov centre bifurcations. SIAM J. Appl. Dyn. Syst., accepted manuscript, 2014.

[7] Elmegård, M., Krauskopf, B., Osinga, H., Starke, J. and Thomsen, J.J. (2014). Bifurcation analysis of the smoothing of an impact oscillator and comparison with experiment. Nonlinear Dynamics. Published online first under DOI 10.1007/s11071-014-1353-x.

[8] Marschler, C., Starke, J., Liu, P. and Kevrekidis, I. (2014). Coarse analysis of a pedestrian model using diffusion maps. Physical Review E 89(1), 013304 - 013314.

[9] Bureau, E., Schilder, F., Santos, I., Thomsen, J., Starke, J. (2013). Experimental Bifurcation Analysis of an Impact Oscillator – Tuning A Non-Invasive Control Scheme. Journal of Sound and Vibration 332(22), 5883 – 5897.

[10] Corradi, O., Hjorth, P., & Starke, J. (2012) Equation-free detection and continuation of a Hopf bifurcation point in a particle model of pedestrian flow. SIAM Journal on Applied Dynamical Systems, 11(3), 1007 – 1032.

[11] George Chaouki Chamoun, Frank Schilder, and Morten Brøns. Stabilization of vortices in the wake of a circular cylinder using harmonic forcing. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 83(6):066308, 2011.

[12] Inagaki, M., Kawamoto, A., Abekura, T., Suzuki, A., Rübel, J., Starke, J. (2011). Coupling Analysis of Dynamics and Oil Film Lubrication on Rotor – Floating Bush Bearing System. Journal of System Design and Dynamics 5(3), 461 – 473.

[13] Michele Bartuccelli, Jonathan H.B. Deane, Guido Gentile, and Frank Schilder. Arnol’d tongues for a resonant injection-locked frequency divider: analytical and numerical results. Nonlinear Analysis: Real World Applications, 11(5):3344–3362, 2010.

[14] Harry Dankowicz and Frank Schilder. An extended continuation problem for bifurcation analysis in the presence of constraints. Journal of Computational and Nonlinear Dynamics, 6(3), 2010.

Journal Publications in Preparation:

[15] Frank Schilder, Emil Bureau, Ilmar Santos, Jon Juel Thomsen, and Jens Starke. Continuation in experiments: an atlas algorithm for noise-contaminated zero problems. In preparation, 2014.

[16] Elmegård, M., Avrutin, V., Schilder, F., Bureau, E., Thomsen, J., Santos, I., Starke, J. (2014). Subharmonic resonances in an impact oscillator - Bifurcation analysis and comparison with experiment. In Preparation.

Popular Science:

[17] Starke, J. (2011). Mathematik komplexer Systeme in Naturwissenschaft und Technik. Pages 224–227 of: Speerspitzen. Heidelberger Akademie der Wissenschaften. Univer- sit ̈atsverlag Winter GmbH Heidelberg. Invited contribution.

Software:

[18] Schilder, F., Bureau, E., Starke, J., Dankowicz, H., Sieber, J. (2011). A Matlab Contin- uation Toolbox for Response Tracking in Experiments. Available as part of Continuation Core and Toolboxes (CoCo), http://sourceforge.net/projects/cocotools/. See [24], [9] and [20] for details.

Refereed Conference Proceedings:

[19] Bureau, E., Schilder, F., Santos, I., Thomsen, J., Starke, J. (2014). Experiments in nonlinear dynamics using control-based continuation: Tracking stable and unstable response curves. 2 Pages. Proceedings of 8th European Nonlinear Dynamics Conference (ENOC 2014) in Vienna, Austria.

[20] Schilder, F., Bureau, E., Santos, I., Thomsen, J., Starke, J. (2014). CONTINEX: A Toolbox for Continuation in Experiments. 2 Pages. Proceedings of 8th European Nonlinear Dynamics Conference (ENOC 2014) in Vienna, Austria.

[21] Starke, J., Sørensen, A., Marschler, C., Schilder, F., Thomsen, K. B., Hjorth, P. (2014). Analysis of Unstable States in Particle Models for Pedestrian Flow. 2 Pages. Proceedings of 8th European Nonlinear Dynamics Conference (ENOC 2014) in Vienna, Austria.

[22] Bureau, E., Santos, I., Thomsen, J., Schilder, F., Starke, J. (2012). Experimental bifurcation analysis by control-based continuation – Determining stability. DETC2012-70616. 8 Pages. Proceedings of the ASME 2012 International Design Engineering Conference & Computers and Information in Engineering Conference (IDETC/CIE 2012) in Chicago, IL, USA.

[23] Bureau, E., Schilder, F., Santos, I., Thomsen, J., Starke, J. (2011). Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation. 6 Pages. Proceedings of 7th European Nonlinear Dynamics Conference (ENOC 2011) in Rome, Italy.

[24] Schilder, F., Bureau, E., Starke, J., Dankowicz, H., Sieber, J. (2011). A Matlab Continuation Toolbox for Response Tracking in Experiments. 2 Pages. Proceedings of 7th European Nonlinear Dynamics Conference (ENOC 2011) in Rome, Italy.

[25] Inagaki, M., Kawamoto, A., Abekura, T., Suzuki, A., Ruebel, J., Starke, J. (2010). Coupling Analysis of Dynamics and Oil Film Lubrication on a Rotor - Floating Bush Bearing System. 8 Pages. 5th Asian Conference on Multibody Dynamics (ACMD 2010). Kyoto, Japan.

[26] Elmegaard, M., Rübel, J., Inagaki, M., Kawamoto, A., Starke, J. (2009). Equation-free continuation of maximal vibration amplitudes in a nonlinear rotor-bearing model of a tur- bocharger. 10 Pages. DETC2009-87339. In: Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, IDETC/CIE 2009, San Diego, USA. Invited paper.

http://www.continex.mek.dtu.dk/publications
18 NOVEMBER 2017