Edit Profile (opens in new tab) Bär, Markus Co-Author Distance Author ID: bar.markus Published as: Bär, Markus; Bär, M. Homepage: https://www.ptb.de/cms/ptb/fachabteilungen/abt8/fb-84/ag-841/mitarbeiter-841.htm... External Links: ResearchGate Documents Indexed: 22 Publications since 1992, including 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 42 Co-Authors with 22 Joint Publications 996 Co-Co-Authors all top 5 Co-Authors 1 single-authored 7 Torcini, Alessandro 4 Brusch, Lutz 4 Kevrekidis, Ioannis George 4 Zimmermann, Martin G. 3 Alonso, Sergio 3 Heidenreich, Sebastian 2 Börner, Uwe 2 Gross, Hermann 2 Or-Guil, Michal 2 Pavese, Franco 2 van Hecke, Martin 1 Bangia, Anil K. 1 Bauer, S. 1 Becker, Maximilian 1 Deutsch, Andreas 1 Dunkel, Jörn 1 Eiswirth, Markus 1 Embid, Pedro F. 1 Engel, Harald 1 Engelborghs, Koen 1 Falcovitz, Joseph 1 Fiebach, André 1 Filtz, Jean-Rémy 1 Firle, Sascha O. 1 Forbes, Alistair B. 1 Forbres, A. B. 1 Frenzel, Thomas 1 Genkin, L. V. 1 Goldstein, Raymond E. 1 Henn, Mark-Alexander 1 Hildebrand, Michael 1 Linares, J. M. 1 Mielke, Alexander 1 Model, R. 1 Natiello, Mario A. 1 Niedermayer, Thomas 1 Panfilov, Alexander V. 1 Pendrill, Leslie 1 Perruchet, Christophe 1 Rathsfeld, Andreas 1 Reichelt, Sina 1 Röder, G. 1 Roose, Dirk 1 Schmelter, Sonja 1 Schöll, Eckehard 1 Schuler, Doug 1 Shirono, Katsuhiro 1 Zhang, Nien Fan all top 5 Serials 7 Physica D 3 Chaos 2 Series on Advances in Mathematics for Applied Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 Physics Reports 1 Bulletin of Mathematical Biology 1 Shock Waves 1 Continuum Mechanics and Thermodynamics 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 New Journal of Physics 1 Annalen der Physik. 8th Series 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Uncertainty Quantification all top 5 Fields 14 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 101 times in 87 Documents Cited by ▼ Year ▼ Mathematical analysis of a two-phase continuum mixture theory. Zbl 0760.76096 Embid, P.; Baer, M. 58 1992 Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation. Zbl 0996.35071 Brusch, Lutz; Torcini, Alessandro; van Hecke, Martin; Zimmermann, Martín G.; Bär, Markus 27 2001 Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model. Zbl 0925.35084 Zimmermann, Martín G.; Firle, Sascha O.; Natiello, Mario A.; Hildebrand, Michael; Eiswirth, Markus; Bär, Markus; Bangia, Anil K.; Kevrekidis, Ioannis G. 22 1997 Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium. Zbl 0941.65131 Krishnan, J.; Kevrekidis, Ioannis G.; Or-Guil, Michael; Zimmermann, Martin G.; Bär, Markus 11 1999 Stable bound states of pulses in an excitable medium. Zbl 0945.34032 Or-Guil, Michal; Kevrekidis, Ioannis G.; Bär, Markus 10 2000 Minimal continuum theories of structure formation in dense active fluids. Zbl 1451.76151 Dunkel, Jörn; Heidenreich, Sebastian; Bär, Markus; Goldstein, Raymond E. 8 2013 Nonlinear analysis of the Eckhaus instability: Modulated amplitude waves and phase chaos with nonzero average phase gradient. Zbl 1076.76523 Brusch, Lutz; Torcini, Alessandro; Bär, Markus 7 2003 Alternans and the influence of ionic channel modifications: Cardiac three – dimensional simulations and one-dimensional numerical bifurcation analysis. Zbl 1159.37328 Bauer, S.; Röder, G.; Bär, M. 6 2007 Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics. Zbl 1272.92019 Alonso, Sergio; Bär, Markus; Panfilov, Alexander V. 4 2013 Pattern formation in a reaction-advection model with delay: a continuum approach to myxobacterial rippling. Zbl 1079.92008 Börner, Uwe; Bär, Markus 2 2004 Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations. Zbl 1361.37065 Schüler, D.; Alonso, S.; Torcini, A.; Bär, M. 2 2014 A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032 Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G. 1 2001 Bayesian approach to the statistical inverse problem of scatterometry: comparison of three surrogate models. Zbl 1498.78023 Heidenreich, Sebastian; Gross, Hermann; Bär, Markus 1 2015 Bayesian approach to the statistical inverse problem of scatterometry: comparison of three surrogate models. Zbl 1498.78023 Heidenreich, Sebastian; Gross, Hermann; Bär, Markus 1 2015 Spatio-temporal dynamics induced by competing instabilities in two asymmetrically coupled nonlinear evolution equations. Zbl 1361.37065 Schüler, D.; Alonso, S.; Torcini, A.; Bär, M. 2 2014 Minimal continuum theories of structure formation in dense active fluids. Zbl 1451.76151 Dunkel, Jörn; Heidenreich, Sebastian; Bär, Markus; Goldstein, Raymond E. 8 2013 Negative tension of scroll wave filaments and turbulence in three-dimensional excitable media and application in cardiac dynamics. Zbl 1272.92019 Alonso, Sergio; Bär, Markus; Panfilov, Alexander V. 4 2013 Alternans and the influence of ionic channel modifications: Cardiac three – dimensional simulations and one-dimensional numerical bifurcation analysis. Zbl 1159.37328 Bauer, S.; Röder, G.; Bär, M. 6 2007 Pattern formation in a reaction-advection model with delay: a continuum approach to myxobacterial rippling. Zbl 1079.92008 Börner, Uwe; Bär, Markus 2 2004 Nonlinear analysis of the Eckhaus instability: Modulated amplitude waves and phase chaos with nonzero average phase gradient. Zbl 1076.76523 Brusch, Lutz; Torcini, Alessandro; Bär, Markus 7 2003 Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation. Zbl 0996.35071 Brusch, Lutz; Torcini, Alessandro; van Hecke, Martin; Zimmermann, Martín G.; Bär, Markus 27 2001 A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032 Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G. 1 2001 Stable bound states of pulses in an excitable medium. Zbl 0945.34032 Or-Guil, Michal; Kevrekidis, Ioannis G.; Bär, Markus 10 2000 Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium. Zbl 0941.65131 Krishnan, J.; Kevrekidis, Ioannis G.; Or-Guil, Michael; Zimmermann, Martin G.; Bär, Markus 11 1999 Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model. Zbl 0925.35084 Zimmermann, Martín G.; Firle, Sascha O.; Natiello, Mario A.; Hildebrand, Michael; Eiswirth, Markus; Bär, Markus; Bangia, Anil K.; Kevrekidis, Ioannis G. 22 1997 Mathematical analysis of a two-phase continuum mixture theory. Zbl 0760.76096 Embid, P.; Baer, M. 58 1992 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 8 Choudhury, Sudipto Roy 7 Mancas, Stefan C. 5 Rademacher, Jens Diederich Michael 4 Bär, Markus 4 Liu, Qihuai 4 Scheel, Arnd 3 Baaske, Franka 3 Gani, M. Osman 3 Garnier, Nicolas B. 3 Kevrekidis, Ioannis George 3 Nishiura, Yasumasa 3 Ogawa, Toshiyuki 3 Schmeisser, Hans-Jürgen 3 Teramoto, Takashi 3 Ueda, Kei-ichi 2 Alonso, Antonio A. 2 Banga, Julio R. 2 Chiffaudel, Arnaud 2 Cvitanović, Predrag 2 Daviaud, François 2 Fonseca, André Ricardo 2 Francisco, Gerson 2 García, Míriam R. 2 Jia, Leilei 2 Karamysheva, T. V. 2 Porter, Mason Alexander 2 Qian, Dingbian 2 Sandstede, Björn 2 Vilas, Carlos 1 Algaba, Antonio 1 Anderson, Alexander R. A. 1 Aranson, Igor S. 1 Argentina, Médéric 1 Bauer, S. 1 Bauernschmitt, Robert 1 Becker, Maximilian 1 Bellay, Jeremy 1 Beyn, Wolf-Jürgen 1 Bilbault, Jean-Marie 1 Binczak, Stéphane 1 Bodenschatz, Eberhard 1 Bordyugov, Grigory 1 Bub, Gil 1 Bui, Christiane 1 Carter, Paul M. 1 Chua, Vivien P. 1 Cisternas, Jaime E. 1 Coombes, Stephen 1 Cytrynbaum, Eric N. 1 De Barros, Bruno Gouvêa 1 Ditto, William L. 1 Dmitrichev, A. S. 1 Dobbs, Matt 1 Dolata, Benjamin E. 1 Engel, Harald 1 Engelborghs, Koen 1 Fernández-Sánchez, Fernando 1 Fewu, J. C. Mimshe 1 Frenzel, Thomas 1 Gambino, Gaetana 1 Garg, Piyush 1 Gesse, Christian 1 Glass, Leon 1 Goldstein, Raymond E. 1 Gottwald, Georg A. 1 Gubernov, Vladimir Vladimirovich 1 Hagemann, Paul Lyonel 1 Hertrich, Johannes 1 Homburg, Ale Jan 1 Hone, Andrew N. W. 1 Hu, Tianli 1 Ioka, Eri 1 Ipsen, Mads 1 Jia, Ya 1 Jiang, Yan 1 Jones, Christopher K. R. T. 1 Kabir, Md. Humayun 1 Kazantsev, Victor B. 1 Kitajima, Hiroyuki 1 Knobloch, Jürgen 1 Kofané, Timoléon Crépin 1 Konno, Hidetoshi 1 Kramer, Lorenz 1 Kurths, Jürgen 1 Laing, Carlo R. 1 Lamb, Jeroen S. W. 1 Lan, B. Yueheng 1 Lan, Yueheng 1 Lebeau, Andrew 1 Li, Fan 1 Li, Min 1 Liao, Shijun 1 Liu, Shutang 1 Liu, Weishi 1 Liu, Wenjun J. 1 Liu, Zhibin 1 Lobosco, Marcelo 1 López, Vanessa 1 Lord, Gabriel James 1 Lou, Jianping ...and 66 more Authors all top 5 Cited in 38 Serials 15 Physica D 12 Chaos 6 Communications in Nonlinear Science and Numerical Simulation 5 Chaos, Solitons and Fractals 4 Journal of Differential Equations 3 Journal of Fluid Mechanics 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Theoretical and Mathematical Physics 2 Nonlinear Dynamics 2 Differential Equations 2 Journal of Theoretical Biology 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Physica A 1 Physics Letters. A 1 Reviews of Modern Physics 1 Bulletin of Mathematical Biology 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Georgian Mathematical Journal 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Abstract and Applied Analysis 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Computational & Mathematical Methods in Medicine 1 SIAM/ASA Journal on Uncertainty Quantification 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 19 Fields 56 Partial differential equations (35-XX) 30 Dynamical systems and ergodic theory (37-XX) 19 Biology and other natural sciences (92-XX) 16 Ordinary differential equations (34-XX) 11 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year