-
Multiscale Analysis
- Panagiotopoulos, I., Starke, J., Sieber, J., Just, W.:
Continuation with Noninvasive Control Schemes: Revealing Unstable
States in a Pedestrian Evacuation Scenario, SIAM J. Applied
Dynamical Systems, 22(1), 1-36, 2023
- Sieber, J., Marschler, C., Starke,
J.: Convergence of Equation-Free Methods in the Case of Finite Time Scale Separation with Application to Deterministic and Stochastic Systems. SIAM Journal on Applied Dynamical Systems
17(4), 2574-2614, 2018.
- Siettos, C., Starke, J.: Multiscale modeling of brain
dynamics: from single neurons and networks to mathematical
tools. WIREs Wiley Interdisciplinary Reviews. Invited Review
Article. Wiley Interdisciplinary Reviews: Systems Biology and
Medicine 8(5), 438-458, 2016.
- Marschler, C., Sieber, J., Hjorth, P., Starke, J.:
Equation-Free Analysis of Macroscopic Behavior in Traffic and Pedestrian Flow.
Pages 423-439 in Chraibi, M., Boltes, M.,
Schadschneider, A., Seyfried, A. (Eds.): Traffic and Granular
Flow '13.
Springer International Publishing, Heidelberg, New York. 2015.
- Marschler, C., Sieber, J., Berkemer, R., Kawamoto, A., Starke,
J.: Implicit methods for equation-free analysis: Convergence
results and analysis of emergent waves in microscopic traffic
models. SIAM Journal on Applied Dynamical Systems
13(3), 1202-1238, 2014.
- Marschler, C., Faust-Ellsässer, C., Starke, J., van Hemmen,
J.L.:
Bifurcation of learning and structure formation in neuronal
maps.
Europhysics Letters (EPL) 108, 4805, 6 Pages, 2014.
- Corradi, O., Hjorth, P., Starke, J.:
Equation-free detection and continuation of a
Hopf bifurcation point in a particle model of pedestrian flow,
SIAM Journal on Applied Dynamical Systems (SIADS), 11(3),
1007-1032, 2012.
- Elmegaard, M., Rübel, J., Inagaki, M., Kawamoto, A., Starke, J.:
Equation-free continuation of maximal vibration amplitudes in
a nonlinear rotor-bearing model of a turbocharger.
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.
-
Bifurcation Analysis
- Elmegård, M.,
Krauskopf, B., Osinga, H., Starke, J. and Thomsen, J.J.:
Bifurcation analysis of a smoothed model of a forced impacting
beam and comparison with experiment.
Nonlinear Dynamics 77(3), 951-966, 2014.
- Corradi, O., Hjorth, P., Starke, J.:
Equation-free detection and continuation of a
Hopf bifurcation point in a particle model of pedestrian flow,
SIAM Journal on Applied Dynamical Systems (SIADS), 11(3),
1007-1032, 2012.
- Schilder, F., Rübel, J., Starke, J., Osinga, H., Krauskopf, B.,
Inagaki, M.:
Efficient computation of quasiperiodic oscillations in nonlinear
systems with fast rotating parts,
Nonlinear Dynamics 51(4), 529-539, 2008
- Reidl, J., Borowski, P., Sensse, A., Starke, J., Zapotocky, M., Eiswirth, M.:
Model of calcium oscillations due to negative feedback in
olfactory cilia,
Biophysical Journal 90, 1147 - 1155, 2006
- Reichert, C., Starke, J., Eiswirth, M.:
Stochastic model of CO-oxidation on platinum surfaces and
deterministic limit, Journal of Chemical
Physics 115, No 10, 4829 - 4838, 2001
-
Pattern Formation and Waves
- Gaididei, Y., Marschler, C., Sørensen, M. P., Christiansen, P.L., Rasmussen, J.J., Starke, J.:
Pattern formation in flows of asymmetrically interacting particles: Peristaltic pedestrian dynamics as a case study..
Journal of Evolution Equations and Control Theory (EECT), special volume on Nonlinear Wave Phenomena in Continuum Physics: Some Recent Findings. Vol. 8(1), pp. 73-100. 2019.
- Marschler, C., Starke, J., Sørensen, M. P., Gaididei, Y., Christiansen, P.L.:
Pattern formation in annular systems of repulsive particles.
Physics Letters A 380, 166-170. 2016.
- Carter, P., Christiansen, P.L., Gaididei, Y., Gorria, C., Sandstede, B., Sørensen, M. P. and Starke, J.: Multi-jam solutions in traffic
models with velocity-dependent driver strategies. SIAM Journal on
Applied Mathematics 74(6), 1895-1918, 2014.
- Gaididei, Y., Gorria, C., Berkemer, R., Kawamoto, A., Shiga, T.,
Christiansen, P., Sørensen, M., Starke, J.:
Traffic jam control by time-modulating the safety distance.
Physical Review E 88(4), 042803 - 042815, 2013.
- Starke, J., Ellsässer, C., Fukuda, T.:
Self-organized control in cooperative robots using a pattern
formation principle.
Physics Letters A 375, 2094 - 2098, 2011
- Gaididei, Y., Berkemer, R., Gorria, C., Christiansen, P., Kawamoto, A., Shiga, T., Sørensen, M., Starke, J.:
Complex spatiotemporal behavior in a chain of one-way
nonlinearly coupled elements. Discrete and Continuous
Dynamical Systems. Series S. 4(5). 1167-1179. 2011
- Kokkendorff, S., Starke, J., Hummel, N.:
Interacting many-particle systems of different particle types converge to a sorted state.
SIAM Journal on Applied Mathematics (SIAP) 70 (7). 2534-2555. 2010.
- Gaididei, Y., Berkemer, R., Caputo, J., P. Christiansen, Kawamoto, A., Shiga, T., Sørensen, M., Starke, J.:
Analytical solutions of jam pattern formation on a ring for a
class of optimal velocity traffic models.
New Journal of Physics 11, 073012, 2009
- Starke, J., Reichert, C., Eiswirth, M., Rotermund, H. H., Ertl, G.:
Fluctuation-induced pattern formation in a surface reaction,
Europhysics Letters 73 (6), 820 - 825, 2006
- Molnár, P., Starke, J.:
Control of distributed autonomous robotic systems using
principles of pattern formation in nature and pedestrian
behaviour,
IEEE Transactions on Systems, Men and Cybernetics: Part B,
31, No. 3, 433 - 436, 2001
-
Deterministic and Stochastic Modelling
- Spiliotis, K., Starke, J., Franz, D., Richter, A., Köhling, R.: Deep brain stimulation for movement disorder
treatment: exploring frequency-dependent efficacy in a
computational network model. Biological Cybernetics
116, 93-116, 2022 (published online 2021).
- Inagaki, M., Kawamoto, A., Abekura, T., Suzuki, A., Rübel, J.,
Starke, J.: Coupling Analysis of Dynamics and Oil Film
Lubrication on Rotor - Floating Bush Bearing System. Journal of
System Design and Dynamics 5(3), 461 - 473, 2011
- Starke, J., Rübel, J., Lux, C.:
Modelling the dynamics of craniofacial growth,
Annals of Operations Research 119,
Special Issue on Optimization in Medicine, 75 - 100, 2003
- Reichert, C., Starke, J., Eiswirth, M.:
Stochastic model of CO-oxidation on platinum surfaces and
deterministic limit, Journal of Chemical
Physics 115, No 10, 4829 - 4838, 2001
-
Discrete and Continuous Optimization
- Starke, J.:
Dynamical system approaches to combinatorial optimization.
Invited Chapter.
Pages 1065-1124 in Pardalos, P., Du, D.-Z. and Graham, R. (Eds.):
Handbook of Combinatorial Optimization, 2nd Edition,
Springer Verlag, Heidelberg, New York. 2013.
- Starke, J., Ellsässer, C., Fukuda, T.:
Self-organized control in cooperative robots using a pattern formation principle.
Physics Letters A 375, 2094 - 2098, 2011
- Strauß, F., Inagaki, M., Starke, J.:
Reduction of
vibration level in rotordynamics by design optimization,
Structural and Multidisciplinary Optimization 34, 139 - 149,
2007
- Starke, J., Rübel, J., Lux, C.:
Modelling the dynamics of craniofacial growth,
Annals of Operations Research 119,
Special Issue on Optimization in Medicine, 75 - 100, 2003
- Starke, J., Schanz, M., Haken, H.:
Treatment of combinatorial optimization problems using
selection equations with cost terms - Part II:
NP-hard three-dimensional assignment problems,
Physica D, 134, 242 - 252, 1999
- Haken, H., Schanz, M., Starke, J.:
Treatment of combinatorial optimization problems using
selection equations with cost terms - Part I:
Two-dimensional assignment problems,
Physica D, 134, 227 - 241, 1999
- Starke, J., Schanz, M.:
Dynamical system approaches to combinatorial optimization,
in Du, D.-Z. and Pardalos, P. (Eds.):
Handbook of Combinatorial Optimization, Vol. 2, 471 - 524,
Kluwer Academic Publisher, Dordrecht, Boston, London 1998
-
Data Analysis and Analysis of Experiments
- Dittus, A., Kruse, N., Barke, I., Speller, S., Starke, J.:
Detecting Stability and Bifurcation Points in Control-Based
Continuation for a Physical Experiment of the Zeeman Catastrophe
Machine. SIAM J. Applied Dynamical Systems, 22(2),
1275-1299, 2023
- Panagiotopoulos, I., Starke, J., Just, W.:
Control of collective human behavior: Social dynamics beyond
modeling. Physical Review Research 4, 043190, 2022
- Schilder, F., Bureau, E., Santos, I., Thomsen, J., Starke, J.:
Experimental Bifurcation Analysis - Continuation for
Noise-Contaminated Zero Problems. Journal of Sound and
Vibration 358, 251-266, 2015
- Marschler, C., Starke, J., Liu, P. and Kevrekidis, I.: Coarse
analysis of a pedestrian model using diffusion maps. Physical Review E 89(1), 013304 - 013314, 2014.
- Bureau, E., Schilder, Elmegård, M., F., Santos, I., Thomsen, J., Starke, J.:
Experimental bifurcation analysis of an impact oscillator—determining stability.
Journal of Sound and Vibration 333(21), 5464-5474, 2014
- Bureau, E., Schilder, F., Santos, I., Thomsen, J., Starke, J.:
Experimental Bifurcation Analysis of an Impact Oscillator
- Tuning A Non-Invasive Control Scheme.
Journal of Sound and Vibration 332(22), 5883 - 5897, 2013
- Bureau, E., Schilder, F., Santos, I., Thomsen, J., Starke, J.:
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.
- Reidl, J., Starke, J., Omer, D., Grinvald, A., Spors, H.:
Independent component analysis of high-resolution
imaging data identifies distinct functional domains,
NeuroImage 34, 94 - 108, 2007
- Rübel, J., Starke, J.:
Analysis and visualization of growth-related and
treatment-induced craniofacial changes.
Journal of Mathematical Biology 51 (2), 157 - 170, 2005
- Starke, J., Kaga, T., Schanz, M., Fukuda, T.:
Experimental study on self-organized and error resistant control of distributed autonomous robotic systems.
The International Journal of Robotics Research 24, 465 - 486, 2005
