Selected Publications:

• Publications Sorted after Mathematical Methods

• Publications Sorted after Application Areas

• Textbook: Nonlinear Dynamics in Engineering and Science

Publications Sorted after Mathematical Methods

• 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

Publications Sorted after Application Areas

• Biomathematics, Mathematical Neuroscience and Mathematics in Medicine

  • Spiliotis, K., Butenko, K., Starke, J.,van Rienen, U., Köhling, R.: Towards an optimised deep brain stimulation using a large-scale computational network and realistic volume conductor model, Journal of Neural Engineering 20 (6), 066045, 2024
  • Spiliotis, K., Butenko, K., van Rienen, U., Starke, J., Köhling, R.: Complex network measures reveal optimal targets for deep brain stimulation and identify clusters of collective brain dynamics, Frontiers in Physics \textbf{10}, 951724, 2022
  • Spiliotis, K., Koutsoumaris, C., Reppas, A., Papaxenopoulou, L. Starke, J., Hatzikirou, H.: Optimal vaccine roll-out strategies including social distancing for pandemics, Iscience 25(7), 2022
  • 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).
  • Heilmann, I., Starke, J., Andersen, K. H., Thygesen, U. Høgsbro, Sørensen, M. P.: Dynamics of a physiologically structured population in a time-varying environment. Ecological Complexity 28, 54-61. 2016.
  • 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., 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.
  • 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.
  • 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
  • J. Reidl, P. Borowski, A. Sensse, J. Starke, M. Zapotocky, M. Eiswirth: Model of calcium oscillations due to negative feedback in olfactory cilia, Biophysical Journal 90, 1147 - 1155, 2006
  • 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., Rübel, J., Lux, C.: Modelling the dynamics of craniofacial growth, Annals of Operations Research 119, Special Issue on Optimization in Medicine, 75 - 100, 2003

• Physics, Surface Physics and Physical Chemistry

  • 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
  • Starke, J., Reichert, C., Eiswirth, M., Oelschläger, K. Stochastic modelling and deterministic limit of catalytic surface processes. Pages 341-370 of: Jäger, W., Rannacher, R. and Warnatz, J. (Eds.). Reactive flows, Diffusion and Transport, Springer-Verlag, 2007
  • 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
  • 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

• Mechanical Engineering

  • 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
  • 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
  • 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.
  • 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
  • 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
  • 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.
  • 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.
  • 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
  • Strauß, F., Inagaki, M., Starke, J.: Reduction of vibration level in rotordynamics by design optimization, Structural and Multidisciplinary Optimization 34, 139 - 149, 2007

• Robotics

  • Starke, J., Ellsässer, C., Fukuda, T.: Self-organized control in cooperative robots using a pattern formation principle. Physics Letters A 375, 2094 - 2098, 2011
  • 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
  • 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

• Traffic and Pedestrian Flow

  • 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
  • Panagiotopoulos, I., Starke, J., Just, W.: Control of collective human behavior: Social dynamics beyond modeling. Physical Review Research 4, 043190, 2022
  • 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.
  • Starke, J., Thomsen, K. B., Sørensen, A., Marschler, C., Schilder, F., Dederichs, A., Hjorth, P.: Nonlinear Effects in Examples of Crowd Evacuation Scenarios. Pages 560-565. Proceedings of 17th International IEEE Conference on Intelligent Transportation Systems (ITSC 2014), Qingdao, China. 2014. Invited paper.
  • 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., Starke, J., Liu, P. and Kevrekidis, I.: Coarse analysis of a pedestrian model using diffusion maps. Physical Review 89(1), 013304 - 013314, 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.
  • 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.
  • 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
  • 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

• Combinatorial 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., 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

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Nonlinear Dynamics in Engineering and Science Textbook / Lecture Notes: Jens Starke: Nonlinear Dynamics in Engineering and Science - Theory and Applications - Department of Mathematics, Technical University of Denmark 2010, ISBN 87-88764-82-6 available at Technical University of Denmark, Department of Mathematics & Computer Science, Matematiktorvet, Bdg. 303 B, DK-2800 Kgs. Lyngby, Denmark with many different types of applications, exercises and test questions 220 pages

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Jens Starke - last modified March 15, 2024