Wissenschaftliche Artikel

JÜNGEL, A., KUEHN, C., & TRUSSARDI, L. (2017). A meeting point of entropy and bifurcation in cross-diffusion herding. European Journal of Applied Mathematics, 28(2), 317–356. https://doi.org/10.1017/s0956792516000346 ( reposiTUm)
Achleitner, F., & Kuehn, C. (2015). Analysis and numerics of travelling waves for asymmetric fractional reaction-diffusion equations. Communications in Applied and Industrial Mathematics, 6(2), 1–25. http://hdl.handle.net/20.500.12708/151573 ( reposiTUm)
Kuehn, C. (2015). Numerical continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn equation. SIAM/ASA Journal on Uncertainty Quantification, 3(1), 762–789. https://doi.org/10.1137/140993685 ( reposiTUm)
Achleitner, F., & Kuehn, C. (2015). On bounded positive stationary solutions for a nonlocal Fisher-KPP equation. Nonlinear Analysis: Theory, Methods and Applications, 112, 15–29. https://doi.org/10.1016/j.na.2014.09.004 ( reposiTUm)
Zhang, X., Kuehn, C., & Hallerberg, S. (2015). Predictability of critical transitions. Physical Review E, 92(052905). https://doi.org/10.1103/physreve.92.052905 ( reposiTUm)
Kuehn, C., & Szmolyan, P. (2015). Multiscale geometry of the Olsen model and non-classical relaxation oscillations. Journal of Nonlinear Science, 25(3), 583–629. https://doi.org/10.1007/s00332-015-9235-z ( reposiTUm)
Kuehn, C. (2015). Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. Applied Mathematics and Computation, 266, 656–674. http://hdl.handle.net/20.500.12708/151576 ( reposiTUm)
Achleitner, F., & Kuehn, C. (2015). Traveling waves for bistable evolution equations with nonlocal-diffusion. ADVANCES IN DIFFERENTIAL EQUATIONS, 20(9), 887–936. http://hdl.handle.net/20.500.12708/151577 ( reposiTUm)
Meisel, C., Klaus, A., Kuehn, C., & Plenz, D. (2015). Critical slowing down governs the transition to neuron spiking. PLoS Computational Biology, 11(2), e1004097. https://doi.org/10.1371/journal.pcbi.1004097 ( reposiTUm)
Gowda, K., & Kuehn, C. (2015). Early-warning signs for pattern formation in stochastic partial differential equations. Communications in Nonlinear Science and Numerical Simulation, 22(1–3), 55–69. https://doi.org/10.1016/j.cnsns.2014.09.019 ( reposiTUm)
Berglund, N., Gentz, B., & Kuehn, C. (2015). From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Journal of Dynamics and Differential Equations, 27(1), 83–136. https://doi.org/10.1007/s10884-014-9419-5 ( reposiTUm)
Kuehn, C., Zschaler, G., & Gross, T. (2015). Early-warning signs for saddle-escape transitions in complex networks. Scientific Reports, 5(13190). https://doi.org/10.1038/srep13190 ( reposiTUm)
Kuehn, C., Martens, E. A., & Romero, D. M. (2014). Critical transitions in social network activity. Journal of Complex Networks, 2(2), 141–152. https://doi.org/10.1093/comnet/cnt022 ( reposiTUm)
Kuehn, C. (2014). Normal hyperbolicity and unbounded critical manifolds. Nonlinearity, 27(6), 1351–1366. https://doi.org/10.1088/0951-7715/27/6/1351 ( reposiTUm)
Kuehn, C., & Riedler, M. G. (2014). Large deviations for nonlocal stochastic neural fields. Journal of Mathematical Neuroscience, 4(1), 1. https://doi.org/10.1186/2190-8567-4-1 ( reposiTUm)
Kuehn, C., & Gross, T. (2013). Nonlocal generalized models of predator-prey systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 18(3), 693–720. http://hdl.handle.net/20.500.12708/155595 ( reposiTUm)
Kuehn, C. (2013). A mathematical framework for critical transitions: normal forms, variance and applications. Journal of Nonlinear Science, 23(3), 457–510. https://doi.org/10.1007/s00332-012-9158-x ( reposiTUm)
Kuehn, C., Siegmund, S., & Gross, T. (2013). Dynamical analysis of evolution equations in generalized models. IMA Journal of Applied Mathematics, 78(5), 1051–1077. https://doi.org/10.1093/imamat/hxs008 ( reposiTUm)
Kuehn, C. (2013). Warning signs for wave speed transitions of noisy Fisher-KPP invasion fronts. Theoretical Ecology, 6(3), 295–308. https://doi.org/10.1007/s12080-013-0189-1 ( reposiTUm)
Desroches, M., Guckenheimer, J., Krauskopf, B., Kuehn, C., Osinga, H. M., & Wechselberger, M. (2012). Mixed-mode oscillations with multiple time scales. SIAM Review, 54(2), 211–288. https://doi.org/10.1137/100791233 ( reposiTUm)
Kuehn, C. (2012). Deterministic continuation of stochastic metastable equilibria via Lyapunov equations and ellipsoids. SIAM Journal on Scientific Computing, 34(3), A1635–A1658. https://doi.org/10.1137/110839874 ( reposiTUm)
Berglund, N., Gentz, B., & Kuehn, C. (2012). Hunting French ducks in a noisy environment. Journal of Differential Equations, 252(9), 4786–4841. https://doi.org/10.1016/j.jde.2012.01.015 ( reposiTUm)
Kuehn, C. (2012). Time-scale and noise optimality in self-organized critical adaptive networks. Physical Review E, 85(026103). https://doi.org/10.1103/physreve.85.026103 ( reposiTUm)
Meisel, C., & Kuehn, C. (2012). Scaling effects and spatio-temporal multilevel dynamics in epileptic seizures. PLoS ONE, 7(2), e30371. https://doi.org/10.1371/journal.pone.0030371 ( reposiTUm)

Beiträge in Tagungsbänden

Achleitner, F., Kühn, C., Melenk, J. M., & Rieder, A. (2025). Numerical treatment of Riesz-Feller operators using hp-FEM. In Large-Scale Scientific Computations LSSC’25 : Scientific Program : Abstracts : List of Participants (pp. 29–29). ( reposiTUm)
Jelbart, S. I., Martinez Sanchez, A., Kühn, C., & Szmolyan, P. (2024). Geometric Blow-up for Dynamic Bifurcations in Reaction-Diffusion Equations. In Book of Abstracts: Equadiff 2024 (pp. 206–207). http://hdl.handle.net/20.500.12708/199090 ( reposiTUm)

Beiträge in Büchern

Achleitner, F., Akagi, G., Kühn, C., Melenk, J. M., Rademacher, J., Soresina, C., & Yang, J. (2024). Fractional Dissipative PDEs. In P. Kevrekidis & J. Cuevas-Maraver (Eds.), Fractional Dispersive Models and Applications: Recent Developments and Future Perspectives (Vol. 37, pp. 53–122). Springer. https://doi.org/10.1007/978-3-031-54978-6_3 ( reposiTUm)

Bücher

Kuehn, C. (2015). Multiple Time Scale Dynamics. In Applied Mathematical Sciences. Springer. https://doi.org/10.1007/978-3-319-12316-5 ( reposiTUm)

Präsentationen

Kuehn, C. (2015). Tipping and Warning Signs for Patterns and Propagation Failure in SPDEs. SIAM Conference on Applications of Dynamical Systems, Snowbird, Austria. http://hdl.handle.net/20.500.12708/121261 ( reposiTUm)
Kuehn, C. (2015). Moment Closure - A Brief Review. Jahrestagung der DMV, Klagenfurt, Austria. http://hdl.handle.net/20.500.12708/121265 ( reposiTUm)
Kuehn, C., Jüngel, A., & Trussardi, L. (2015). Entropy and Bifurcations in Cross-Diffusion Herding. Festveranstaltung an der TU Wien, Fakultät für Mathematik und Geoinformation, Wien, Austria. http://hdl.handle.net/20.500.12708/121366 ( reposiTUm)
Kuehn, C. (2015). Warning signs for saddle-escape transitions in complex networks. Dynamics of Multi-Level Systems, Dresden, Germany. http://hdl.handle.net/20.500.12708/121262 ( reposiTUm)
Kuehn, C. (2015). Blowing-Up the Olsen Model & An Introduction to Moment Closure. Universität Konstanz - Real Algebraic Geometry Seminar, Konstanz, Germany. http://hdl.handle.net/20.500.12708/121267 ( reposiTUm)
Kuehn, C. (2015). Numerical Continuation Methods for Stochastic Systems. SciCADE 2015, Potsdam, Germany. http://hdl.handle.net/20.500.12708/121264 ( reposiTUm)
Kuehn, C. (2015). Geometry and Dynamics of Chemical Oscillations in Multiscale Systems. GAMM-Workshop: Dynamik und Regelungstheorie, Hamburg, Germany. http://hdl.handle.net/20.500.12708/121259 ( reposiTUm)
Kuehn, C. (2015). Dynamics of Nonlocal Reaction-Diffusion Equations. University of Augsburg, Augsburg, Germany. http://hdl.handle.net/20.500.12708/121260 ( reposiTUm)
Kuehn, C. (2015). Oscillations in the Olsen Model. Imperial College London - Dynamics Seminar, London, United Kingdom of Great Britain and Northern Ireland (the). http://hdl.handle.net/20.500.12708/121263 ( reposiTUm)
Kuehn, C. (2015). A Survey of the Mathematical Theory of Early-Warning Signs. MBI Workshop: Uncertainty, Sensitivity and Predictability, Columbus, Ohio, United States of America (the). http://hdl.handle.net/20.500.12708/121266 ( reposiTUm)
Kuehn, C., & Szmolyan, P. (2014). Oscillations in multiple time scale dynamics: Autocatalysis, Koper, Olsen, and beyond. Rhythms in Complex Networks: From Theory to Experiment, Copenhagen, EU. http://hdl.handle.net/20.500.12708/120858 ( reposiTUm)
Kuehn, C., & Achleitner, F. (2014). Persistence Results for Nonlocal Perturbations on Unbounded Domains. SIAM Nonlinear Waves and Coherent Structures 2014, Cambridge, UK, EU. http://hdl.handle.net/20.500.12708/120856 ( reposiTUm)
Kuehn, C. (2014). Self-Organized Criticality and Optimality in Stochastic Multiscale Networks. International Conference on Control of Self-Organizing Nonlinear Systems, Warnemünde, EU. http://hdl.handle.net/20.500.12708/120857 ( reposiTUm)
Kuehn, C., & Szmolyan, P. (2014). Non-Classical Relaxation Oscillations in the Olsen Model. Oberseminar Differentialgleichungen 08.05.2014, Augsburg, EU. http://hdl.handle.net/20.500.12708/120864 ( reposiTUm)
Kuehn, C. (2014). A tour through modern methods in multiple time scale dynamics. IST Austria, Seminar 24.04.2014, Klosterneuburg, Austria. http://hdl.handle.net/20.500.12708/120862 ( reposiTUm)
Kuehn, C., & Achleitner, F. (2014). Operator Perturbations of Dynamical Systems. First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao, EU. http://hdl.handle.net/20.500.12708/120851 ( reposiTUm)
Kuehn, C. (2014). Numerical Continuation Methods for Stochastic Systems. 8th European Nonlinear Dynamics Conference (ENOC), Vienna, Austria. http://hdl.handle.net/20.500.12708/120852 ( reposiTUm)
Berglund, N., Gentz, B., & Kuehn, C. (2014). Stochastic multiscale analysis of mixed-mode oscillations. 11th German Probability and Statistics Days, Ulm, EU. http://hdl.handle.net/20.500.12708/120842 ( reposiTUm)
Kuehn, C. (2014). Stochastic operator perturbations of travelling waves. Infinite dimensional stochastic systems: theory and applications, Wittenberg, EU. http://hdl.handle.net/20.500.12708/120841 ( reposiTUm)
Kuehn, C. (2014). A tour through modern methods in multiple time scale dynamics. SFB Seminar Mathematik TUM 14.05.2014, München, EU. http://hdl.handle.net/20.500.12708/120865 ( reposiTUm)
Kuehn, C. (2014). Scaling Laws in Stochastic Differential Equations. Vortrag an der Fakultät für Mathematik und Geoinformation TU Wien, Vienna, EU. http://hdl.handle.net/20.500.12708/120867 ( reposiTUm)
Kuehn, C. (2014). A tour through multiple time scale dynamics. Jacobs University Mathematics Colloquium 08.09.2014, Bremen, EU. http://hdl.handle.net/20.500.12708/120866 ( reposiTUm)
Kuehn, C., & Achleitner, F. (2014). On bounded positive stationary solutions for a nonlocal Fisher-KPP equation. GAMM Annual Meeting 2014, Erlangen, EU. http://hdl.handle.net/20.500.12708/120846 ( reposiTUm)
Kuehn, C., & Szmolyan, P. (2014). Multiscale dynamics and mixed-mode oscillations. MURPHYS-HSFS-2014, Berlin (WIAS), EU. http://hdl.handle.net/20.500.12708/120848 ( reposiTUm)
Kuehn, C. (2014). Numerical Continuation for Stochastic Systems. 10th Austrian Numerical Analysis Day, Wien, Austria. http://hdl.handle.net/20.500.12708/120850 ( reposiTUm)
Kuehn, C., & Gowda, K. (2014). Tipping and Warning Signs for Patterns and Propagation Failure in SPDEs. SIAM Nonlinear Waves and Coherent Structures 2014, Cambridge, UK, EU. http://hdl.handle.net/20.500.12708/120855 ( reposiTUm)
Kuehn, C., & Riedler, M. (2014). Neural Fields, Finite-Dimensional Approximation and Large Deviations. 3rd Austrian Stochastics Days, Leoben, Austria. http://hdl.handle.net/20.500.12708/120859 ( reposiTUm)
Kuehn, C. (2013). Critical Transitions with a view towards Neuroscience: Analysis, Models and Numerical Continuation. Mathematics Colloquium - University of Exeter, Exeter, UK, EU. http://hdl.handle.net/20.500.12708/120491 ( reposiTUm)
Kuehn, C., & Szmolyan, P. (2013). Two Examples of Geometric Desingularization of Nonstandard Systems. Workshop on Slow-Fast Dynamics: Theory, Numerics, Application to Life and Earth Sciences, Barcelona, EU. http://hdl.handle.net/20.500.12708/120483 ( reposiTUm)
Kuehn, C. (2013). A Mathematical Framework for Critical Transitions. Max Planck Institut DS Advances Seminar, Göttingen, EU. http://hdl.handle.net/20.500.12708/120482 ( reposiTUm)
Kuehn, C. (2013). Stochastic multi-scale dynamics and (un-)desirable critical transitions. University of Warwick Complexity Forum, Coventry, UK, EU. http://hdl.handle.net/20.500.12708/120486 ( reposiTUm)
Kuehn, C., & Achleitner, F. (2013). Non-Local Parabolic PDEs and Travelling Waves. Dissipation and Dispersion in Nonlinear PDEs - Status Seminar, Wien, Austria. http://hdl.handle.net/20.500.12708/120484 ( reposiTUm)
Kuehn, C. (2013). Deterministic Numerical Continuation for Stochastic Dynamical Systems. SIAM Conference on Applications of Dynamical Systems, Snowbird, Austria. http://hdl.handle.net/20.500.12708/120485 ( reposiTUm)
Kuehn, C. (2013). Critical Transitions in Complex Systems: SPDEs and Networks. ICMS Workshop on Tipping Points, Edinburgh, UK, EU. http://hdl.handle.net/20.500.12708/120487 ( reposiTUm)
Kuehn, C. (2013). A Mathematical Framework for Critical Transitions. ICBM Colloquium - University of Oldenburg, Oldenburg, EU. http://hdl.handle.net/20.500.12708/120488 ( reposiTUm)
Kuehn, C. (2013). Multiscale dynamics near instability in adaptive networks. Viennese Vintage Workshop, Wien, Austria. http://hdl.handle.net/20.500.12708/120480 ( reposiTUm)
Kuehn, C. (2013). A Tour Through Stochastic Multiscale Dynamics via a Model Problem. FAM -Seminar, TU Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/120479 ( reposiTUm)
Kuehn, C. (2012). A Tour through Multiple Time Scale Dynamics. MAPMO Seminar University of Orleans, Orleans, France, EU. http://hdl.handle.net/20.500.12708/120493 ( reposiTUm)
Kuehn, C. (2012). Critical Transitions in Neuroscience: Analysis, Models and Numerics. Workshop on Random Models in Neuroscience, Paris, France, EU. http://hdl.handle.net/20.500.12708/120492 ( reposiTUm)
Kuehn, C. (2012). A tour through multiple time scale dynamics. Patterns, Nonlinear Dynamics and Applications Workshop Series, Bath, EU. http://hdl.handle.net/20.500.12708/120489 ( reposiTUm)
Kuehn, C. (2012). Towards a Mathematical Framework for Critical Transitions: From Bifurcations to Complex Systems. Workshop on Critical Transitions in Complex Systems, London, UK, EU. http://hdl.handle.net/20.500.12708/120494 ( reposiTUm)
Kuehn, C. (2012). Mixed-Mode Oscillations in Biological Models. MATHMOD 2012 - 7th Vienna Conference on Mathematical Modelling, Wien, Austria. http://hdl.handle.net/20.500.12708/120495 ( reposiTUm)