Edit Profile (opens in new tab) Kühn, Christian Co-Author Distance Author ID: kuhn.christian Published as: Kuehn, Christian; Kuehn, C.; Kühn, Christian more...less Homepage: http://www.multiscale.systems/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 149 Publications since 2008, including 2 Books and 44 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 108 Co-Authors with 126 Joint Publications 2,542 Co-Co-Authors all top 5 Co-Authors 24 single-authored 10 Engel, Maximilian 9 Jardón-Kojakhmetov, Hildeberto 9 Neamţu, Alexandra 8 Böhle, Tobias 6 Berglund, Nils 6 Soresina, Cinzia 5 Bick, Christian 5 Gkogkas, Marios Antonios 5 Hummel, Felix 5 Jelbart, Samuel 4 Achleitner, Franz 4 Gross, Thilo 4 Guckenheimer, John M. 4 Throm, Sebastian 4 Xu, Chuang 3 Breden, Maxime 3 Gnann, Manuel V. 3 Iuorio, Annalisa 3 Jost, Jürgen 3 Longo, Iacopo P. 3 Lux, Kerstin 3 Mulas, Raffaella 3 Romanò, Francesco 3 Sensi, Mattia 2 Akagi, Goro 2 Arcidiacono, Luca 2 Ashwin, Peter 2 Bernuzzi, Paolo 2 Eichinger, Katharina 2 Gentz, Barbara 2 Gonzalez Herrero, Maria Elena 2 Horstmeyer, Leonhard 2 Hurth, Tobias 2 Jüngel, Ansgar 2 Kuntz, Sara-Viola 2 Melenk, Jens Markus 2 Mölter, Jan 2 Münch, Christian 2 Pein, Anne 2 Popović, Nikola 2 Pugliese, Andrea 2 Rademacher, Jens Diederich Michael 2 Szmolyan, Peter 2 Thalhammer, Mechthild 1 Baars, Sven 1 Beck, Margaret 1 Ben Belgacem, Fethi 1 Berner, Rico 1 Chirilus-Bruckner, Martina 1 de Rijk, Björn 1 Desroches, Mathieu 1 Dhariwal, Gaurav 1 Dijkstra, Henk A. 1 Düx, Antonia 1 Ehstand, Noémie 1 Geldhauser, Carina 1 Gowda, Karna 1 Hamzi, Boumediene 1 Huber, Florian 1 Huzak, Renato 1 Jüttner, Benjamin 1 Kaklamanos, Panagiotis 1 Krahmer, Felix 1 Krakovská, Hana 1 Krauskopf, Bernd 1 Kuhlmann, Hendrik C. 1 Kürschner, Patrick 1 Kurths, Jürgen 1 Layritz, Lucia S. 1 MacLaurin, James N. 1 Malavolta, Giuseppe 1 Martens, Erik Andreas 1 Meisel, Christian 1 Mohamed, Sameh 1 Mulder, Thomas E. 1 Nakamura, Ken-Ichi 1 Osinga, Hinke Maria 1 Pavlyukevich, Ilya 1 Petrera, Matteo 1 Ptashnyk, Mariya 1 Queirolo, Elena 1 Rammig, Anja 1 Rasmussen, Martin 1 Rieder, Alexander 1 Riedler, Martin Georg 1 Sadhu, Susmita 1 Siegmund, Stefan 1 Sissouno, Nada 1 Sonner, Stefanie 1 Steinert, Maximilian 1 Sulzbach, Jan-Eric 1 Suris, Yuri Borisovich 1 Thurner, Stefan 1 Tkachov, Pasha 1 Tölle, Jonas M. 1 Trussardi, Lara 1 Tsaneva-Atanasova, Krasimira T. 1 Viebahn, J. P. 1 Wechselberger, Martin 1 Widder, Andreas ...and 8 more Co-Authors all top 5 Serials 7 SIAM Journal on Applied Dynamical Systems 5 Journal of Nonlinear Science 4 Nonlinearity 3 Journal of Mathematical Biology 3 Journal of Statistical Physics 3 Journal of Differential Equations 3 Physica D 3 European Journal of Applied Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Electronic Journal of Probability 3 Chaos 2 Journal of Computational Physics 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Review 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Stochastics and Dynamics 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 Commentarii Mathematici Helvetici 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 The Annals of Applied Probability 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Journal of Difference Equations and Applications 1 Nonlinear Dynamics 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Sciences 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 Applied Mathematical Sciences 1 Mathematical Modeling and Computation 1 Journal of Physics A: Mathematical and Theoretical 1 The Journal of Mathematical Neuroscience 1 Journal of Computational Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Journal of Physics. Conference Series 1 SN Partial Differential Equations and Applications all top 5 Fields 59 Ordinary differential equations (34-XX) 57 Dynamical systems and ergodic theory (37-XX) 50 Partial differential equations (35-XX) 33 Probability theory and stochastic processes (60-XX) 23 Biology and other natural sciences (92-XX) 17 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,129 times in 757 Documents Cited by ▼ Year ▼ Multiple time scale dynamics. Zbl 1335.34001 Kuehn, Christian 305 2015 Mixed-mode oscillations with multiple time scales. Zbl 1250.34001 Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin 175 2012 A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics. Zbl 1225.35242 Kuehn, Christian 53 2011 Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060 Guckenheimer, John; Kuehn, Christian 35 2010 Computing slow manifolds of saddle type. Zbl 1176.37026 Guckenheimer, John; Kuehn, Christian 32 2009 Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit. Zbl 1362.34075 Guckenheimer, John; Kuehn, Christian 28 2009 Hunting French ducks in a noisy environment. Zbl 1293.37025 Berglund, Nils; Gentz, Barbara; Kuehn, Christian 22 2012 Multiscale geometry of the Olsen model and non-classical relaxation oscillations. Zbl 1321.34065 Kuehn, Christian; Szmolyan, Peter 21 2015 A mathematical framework for critical transitions: normal forms, variance and applications. Zbl 1282.34062 Kuehn, Christian 21 2013 Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038 Kuehn, Christian; Riedler, Martin G. 18 2014 Traveling waves for a bistable equation with nonlocal diffusion. Zbl 1327.35053 Achleitner, Franz; Kuehn, Christian 18 2015 A geometric analysis of the SIR, SIRS and SIRWS epidemiological models. Zbl 1469.34065 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia 17 2021 Normal hyperbolicity and unbounded critical manifolds. Zbl 1295.34056 Kuehn, Christian 15 2014 From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087 Berglund, Nils; Gentz, Barbara; Kuehn, Christian 15 2015 Stochastic mixed-mode oscillations in a three-species predator-prey model. Zbl 1390.92121 Sadhu, Susmita; Kuehn, Christian 15 2018 PDE dynamics. An introduction. Zbl 1451.35001 Kuehn, Christian 13 2019 Pathwise mild solutions for quasilinear stochastic partial differential equations. Zbl 1434.60159 Kuehn, Christian; Neamţu, Alexandra 12 2020 Deterministic continuation of stochastic metastable equilibria via Lyapunov equations and ellipsoids. Zbl 1246.65244 Kuehn, Christian 11 2012 Early-warning signs for pattern-formation in stochastic partial differential equations. Zbl 1331.60119 Gowda, Karna; Kuehn, Christian 11 2015 On bounded positive stationary solutions for a nonlocal Fisher-KPP equation. Zbl 1303.35006 Achleitner, Franz; Kuehn, Christian 10 2015 On decomposing mixed-mode oscillations and their return maps. Zbl 1317.34058 Kuehn, Christian 10 2011 Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. Zbl 1410.65480 Kuehn, Christian 10 2015 From first Lyapunov coefficients to maximal canards. Zbl 1193.34117 Kuehn, Christian 10 2010 Numerical continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn equation. Zbl 1339.60096 Kuehn, Christian 9 2015 Rigorous validation of stochastic transition paths. Zbl 1427.60142 Breden, Maxime; Kuehn, Christian 9 2019 Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237 Kuehn, Christian; Soresina, Cinzia 9 2020 A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162 Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara 8 2017 Rough center manifolds. Zbl 1480.37066 Neamţu, Alexandra; Kuehn, Christian 8 2021 Power network dynamics on graphons. Zbl 1428.37026 Kuehn, Christian; Throm, Sebastian 8 2019 Generalized play hysteresis operators in limits of fast-slow systems. Zbl 1381.34064 Kuehn, Christian; Münch, Christian 7 2017 On the influence of cross-diffusion in pattern formation. Zbl 1469.35202 Breden, Maxime; Kuehn, Christian; Soresina, Cinzia 7 2021 A geometric analysis of the SIRS epidemiological model on a homogeneous network. Zbl 1479.34083 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia 7 2021 Discretized fast-slow systems near transcritical singularities. Zbl 1416.37045 Engel, Maximilian; Kuehn, Christian 7 2019 Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes. Zbl 1200.37042 Kuehn, Christian 6 2009 A dynamical systems approach for the contact-line singularity in thin-film flows. Zbl 1346.76013 Belgacem, Fethi Ben; Gnann, Manuel V.; Kuehn, Christian 6 2016 Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions. Zbl 1338.60152 Berglund, Nils; Kuehn, Christian 6 2016 Travelling waves in monostable and bistable stochastic partial differential equations. Zbl 1444.76100 Kuehn, Christian 6 2020 A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space. Zbl 1344.37034 Kuehn, Christian 6 2016 On fast-slow consensus networks with a dynamic weight. Zbl 1514.34094 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian 6 2020 Model spaces of regularity structures for space-fractional SPDEs. Zbl 1373.60106 Berglund, Nils; Kuehn, Christian 5 2017 Pattern formation in the doubly-nonlocal Fisher-KPP equation. Zbl 1410.35066 Kuehn, Christian; Tkachov, Pasha 5 2019 A survey on the blow-up method for fast-slow systems. Zbl 1506.34003 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian 5 2021 Heterogeneous population dynamics and scaling laws near epidemic outbreaks. Zbl 1358.34059 Widder, Andreas; Kuehn, Christian 5 2016 Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Zbl 1471.65138 Ehstand, Noémie; Kuehn, Christian; Soresina, Cinzia 5 2021 Continuation of probability density functions using a generalized Lyapunov approach. Zbl 1375.35639 Baars, S.; Viebahn, J. P.; Mulder, T. E.; Kuehn, C.; Wubs, F. W.; Dijkstra, H. A. 4 2017 Discretized fast-slow systems near pitchfork singularities. Zbl 1436.37062 Arcidiacono, Luca; Engel, Maximilian; Kuehn, Christian 4 2019 Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion. Zbl 1447.60098 Eichinger, Katharina; Kuehn, Christian; Neamţu, Alexandra 4 2020 Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270 Gkogkas, Marios Antonios; Kuehn, Christian 4 2022 Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations. Zbl 1501.35114 Eichinger, Katharina; Gnann, Manuel V.; Kuehn, Christian 4 2022 A general view on double limits in differential equations. Zbl 1501.34001 Kuehn, Christian; Berglund, Nils; Bick, Christian; Engel, Maximilian; Hurth, Tobias; Iuorio, Annalisa; Soresina, Cinzia 4 2022 Metastable speeds in the fractional Allen-Cahn equation. Zbl 1510.65238 Achleitner, Franz; Kuehn, Christian; Melenk, Jens M.; Rieder, Alexander 3 2021 Towards sample path estimates for fast-slow stochastic partial differential equations. Zbl 1423.60099 Gnann, Manuel V.; Kuehn, Christian; Pein, Anne 3 2019 A gradient flow formulation for the stochastic Amari neural field model. Zbl 1423.60102 Kuehn, Christian; Tölle, Jonas M. 3 2019 Duck traps: two-dimensional critical manifolds in planar systems. Zbl 1440.34060 Kuehn, Christian; Münch, Christian 3 2019 Dynamics of stochastic reaction-diffusion equations. Zbl 1453.60121 Kuehn, Christian; Neamţu, Alexandra 3 2020 A note on kernel methods for multiscale systems with critical transitions. Zbl 1410.34170 Hamzi, Boumediene; Kuehn, Christian; Mohamed, Sameh 3 2019 Dynamical analysis of evolution equations in generalized models. Zbl 1417.37090 Kuehn, Christian; Siegmund, Stefan; Gross, Thilo 3 2013 Balancing quarantine and self-distancing measures in adaptive epidemic networks. Zbl 1497.92153 Horstmeyer, Leonhard; Kuehn, Christian; Thurner, Stefan 3 2022 Multi-population phase oscillator networks with higher-order interactions. Zbl 1506.35235 Bick, Christian; Böhle, Tobias; Kuehn, Christian 3 2022 Homogenization of coupled fast-slow systems via intermediate stochastic regularization. Zbl 1470.60150 Engel, Maximilian; Gkogkas, Marios Antonios; Kuehn, Christian 3 2021 Random switching near bifurcations. Zbl 1441.60057 Hurth, Tobias; Kuehn, Christian 3 2020 Analysis and predictability of tipping points with leading-order nonlinear term. Zbl 1397.34095 Romano, Francesco; Kuehn, Christian 3 2018 A random dynamical systems perspective on isochronicity for stochastic oscillations. Zbl 1483.37064 Engel, Maximilian; Kuehn, Christian 3 2021 Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions. Zbl 1481.37092 Engel, Maximilian; Hummel, Felix; Kuehn, Christian 3 2021 Tracking particles in flows near invariant manifolds via balance functions. Zbl 1398.70046 Kuehn, Christian; Romanò, Francesco; Kuhlmann, Hendrik C. 3 2018 Discrete geometric singular perturbation theory. Zbl 07688141 Jelbart, Samuel; Kuehn, Christian 2 2023 Slow manifolds for infinite-dimensional evolution equations. Zbl 1487.35035 Hummel, Felix; Kuehn, Christian 2 2022 Random walks and Laplacians on hypergraphs: when do they match? Zbl 1514.37057 Mulas, Raffaella; Kuehn, Christian; Böhle, Tobias; Jost, Jürgen 2 2022 Center manifolds for rough partial differential equations. Zbl 1528.60112 Kuehn, Christian; Neamţu, Alexandra 2 2023 Continuum limits for adaptive network dynamics. Zbl 07713238 Gkogkas, Marios A.; Kuehn, Christian; Xu, Chuang 2 2022 Phase oscillator networks with nonlocal higher-order interactions: twisted states, stability, and bifurcations. Zbl 1523.35273 Bick, Christian; Böhle, Tobias; Kuehn, Christian 2 2023 Vlasov equations on digraph measures. Zbl 1498.05251 Kuehn, Christian; Xu, Chuang 2 2022 Computing invariant sets of random differential equations using polynomial chaos. Zbl 1441.37057 Breden, Maxime; Kuehn, Christian 2 2020 The influence of a transport process on the epidemic threshold. Zbl 1504.92141 Kuehn, Christian; Mölter, Jan 2 2022 Validity of amplitude equations for nonlocal nonlinearities. Zbl 1395.35025 Kuehn, Christian; Throm, Sebastian 2 2018 Nonlocal generalized models of predator-prey systems. Zbl 1271.34054 Kuehn, Christian; Gross, Thilo 2 2013 Random attractors for stochastic partly dissipative systems. Zbl 1446.60045 Kuehn, Christian; Neamţu, Alexandra; Pein, Anne 2 2020 Uncertainty transformation via Hopf bifurcation in fast-slow systems. Zbl 1404.37063 Kuehn, Christian 2 2017 Multiscale dynamics of an adaptive catalytic network. Zbl 1418.37086 Kuehn, Christian 2 2019 Early-warning signals for bifurcations in random dynamical systems with bounded noise. Zbl 1386.37051 Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin 1 2018 Uncertainty quantification of bifurcations in random ordinary differential equations. Zbl 1484.34142 Kuehn, Christian; Lux, Kerstin 1 2021 Scaling laws and warning signs for bifurcations of SPDEs. Zbl 1447.60106 Kuehn, Christian; Romano, Francesco 1 2019 Estimating rate-induced tipping via asymptotic series and a Melnikov-like method. Zbl 1501.34049 Kuehn, Christian; Longo, Iacopo P. 1 2022 Stochastic rotating waves. Zbl 1507.35066 Kuehn, Christian; MacLaurin, James; Zucal, Giulio 1 2022 Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem. Zbl 1434.70055 Iuorio, Annalisa; Kuehn, Christian; Szmolyan, Peter 1 2020 On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. Zbl 1493.37092 Böhle, T.; Kuehn, C.; Thalhammer, M. 1 2022 Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo. Zbl 1468.92029 Gonzalez Herrero, Maria Elena; Kuehn, Christian; Tsaneva-Atanasova, Krasimira 1 2021 Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Zbl 1470.60185 Kuehn, Christian; Neamţu, Alexandra; Sonner, Stefanie 1 2021 Reduction methods in climate dynamics – a brief review. Zbl 1509.86001 Hummel, Felix; Ashwin, Peter; Kuehn, Christian 1 2023 A qualitative mathematical model of the immune response under the effect of stress. Zbl 1465.92019 Gonzalez Herrero, Maria Elena; Kuehn, Christian 1 2021 Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Zbl 1478.35173 Dhariwal, Gaurav; Huber, Florian; Jüngel, Ansgar; Kuehn, Christian; Neamţu, Alexandra 1 2021 Discretized fast-slow systems with canards in two dimensions. Zbl 1484.39016 Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri 1 2022 Smoluchowski’s discrete coagulation equation with forcing. Zbl 1422.34088 Kuehn, Christian; Throm, Sebastian 1 2019 Book review of: M. R. Jeffrey, Hidden dynamics. The mathematics of switches, decisions and other discontinuous behaviour. Zbl 1425.00041 Kuehn, Christian 1 2019 Discrete geometric singular perturbation theory. Zbl 07688141 Jelbart, Samuel; Kuehn, Christian 2 2023 Center manifolds for rough partial differential equations. Zbl 1528.60112 Kuehn, Christian; Neamţu, Alexandra 2 2023 Phase oscillator networks with nonlocal higher-order interactions: twisted states, stability, and bifurcations. Zbl 1523.35273 Bick, Christian; Böhle, Tobias; Kuehn, Christian 2 2023 Reduction methods in climate dynamics – a brief review. Zbl 1509.86001 Hummel, Felix; Ashwin, Peter; Kuehn, Christian 1 2023 Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270 Gkogkas, Marios Antonios; Kuehn, Christian 4 2022 Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations. Zbl 1501.35114 Eichinger, Katharina; Gnann, Manuel V.; Kuehn, Christian 4 2022 A general view on double limits in differential equations. Zbl 1501.34001 Kuehn, Christian; Berglund, Nils; Bick, Christian; Engel, Maximilian; Hurth, Tobias; Iuorio, Annalisa; Soresina, Cinzia 4 2022 Balancing quarantine and self-distancing measures in adaptive epidemic networks. Zbl 1497.92153 Horstmeyer, Leonhard; Kuehn, Christian; Thurner, Stefan 3 2022 Multi-population phase oscillator networks with higher-order interactions. Zbl 1506.35235 Bick, Christian; Böhle, Tobias; Kuehn, Christian 3 2022 Slow manifolds for infinite-dimensional evolution equations. Zbl 1487.35035 Hummel, Felix; Kuehn, Christian 2 2022 Random walks and Laplacians on hypergraphs: when do they match? Zbl 1514.37057 Mulas, Raffaella; Kuehn, Christian; Böhle, Tobias; Jost, Jürgen 2 2022 Continuum limits for adaptive network dynamics. Zbl 07713238 Gkogkas, Marios A.; Kuehn, Christian; Xu, Chuang 2 2022 Vlasov equations on digraph measures. Zbl 1498.05251 Kuehn, Christian; Xu, Chuang 2 2022 The influence of a transport process on the epidemic threshold. Zbl 1504.92141 Kuehn, Christian; Mölter, Jan 2 2022 Estimating rate-induced tipping via asymptotic series and a Melnikov-like method. Zbl 1501.34049 Kuehn, Christian; Longo, Iacopo P. 1 2022 Stochastic rotating waves. Zbl 1507.35066 Kuehn, Christian; MacLaurin, James; Zucal, Giulio 1 2022 On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. Zbl 1493.37092 Böhle, T.; Kuehn, C.; Thalhammer, M. 1 2022 Discretized fast-slow systems with canards in two dimensions. Zbl 1484.39016 Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri 1 2022 A geometric analysis of the SIR, SIRS and SIRWS epidemiological models. Zbl 1469.34065 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia 17 2021 Rough center manifolds. Zbl 1480.37066 Neamţu, Alexandra; Kuehn, Christian 8 2021 On the influence of cross-diffusion in pattern formation. Zbl 1469.35202 Breden, Maxime; Kuehn, Christian; Soresina, Cinzia 7 2021 A geometric analysis of the SIRS epidemiological model on a homogeneous network. Zbl 1479.34083 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia 7 2021 A survey on the blow-up method for fast-slow systems. Zbl 1506.34003 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian 5 2021 Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Zbl 1471.65138 Ehstand, Noémie; Kuehn, Christian; Soresina, Cinzia 5 2021 Metastable speeds in the fractional Allen-Cahn equation. Zbl 1510.65238 Achleitner, Franz; Kuehn, Christian; Melenk, Jens M.; Rieder, Alexander 3 2021 Homogenization of coupled fast-slow systems via intermediate stochastic regularization. Zbl 1470.60150 Engel, Maximilian; Gkogkas, Marios Antonios; Kuehn, Christian 3 2021 A random dynamical systems perspective on isochronicity for stochastic oscillations. Zbl 1483.37064 Engel, Maximilian; Kuehn, Christian 3 2021 Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions. Zbl 1481.37092 Engel, Maximilian; Hummel, Felix; Kuehn, Christian 3 2021 Uncertainty quantification of bifurcations in random ordinary differential equations. Zbl 1484.34142 Kuehn, Christian; Lux, Kerstin 1 2021 Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo. Zbl 1468.92029 Gonzalez Herrero, Maria Elena; Kuehn, Christian; Tsaneva-Atanasova, Krasimira 1 2021 Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. Zbl 1470.60185 Kuehn, Christian; Neamţu, Alexandra; Sonner, Stefanie 1 2021 A qualitative mathematical model of the immune response under the effect of stress. Zbl 1465.92019 Gonzalez Herrero, Maria Elena; Kuehn, Christian 1 2021 Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method. Zbl 1478.35173 Dhariwal, Gaurav; Huber, Florian; Jüngel, Ansgar; Kuehn, Christian; Neamţu, Alexandra 1 2021 Pathwise mild solutions for quasilinear stochastic partial differential equations. Zbl 1434.60159 Kuehn, Christian; Neamţu, Alexandra 12 2020 Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237 Kuehn, Christian; Soresina, Cinzia 9 2020 Travelling waves in monostable and bistable stochastic partial differential equations. Zbl 1444.76100 Kuehn, Christian 6 2020 On fast-slow consensus networks with a dynamic weight. Zbl 1514.34094 Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian 6 2020 Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion. Zbl 1447.60098 Eichinger, Katharina; Kuehn, Christian; Neamţu, Alexandra 4 2020 Dynamics of stochastic reaction-diffusion equations. Zbl 1453.60121 Kuehn, Christian; Neamţu, Alexandra 3 2020 Random switching near bifurcations. Zbl 1441.60057 Hurth, Tobias; Kuehn, Christian 3 2020 Computing invariant sets of random differential equations using polynomial chaos. Zbl 1441.37057 Breden, Maxime; Kuehn, Christian 2 2020 Random attractors for stochastic partly dissipative systems. Zbl 1446.60045 Kuehn, Christian; Neamţu, Alexandra; Pein, Anne 2 2020 Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem. Zbl 1434.70055 Iuorio, Annalisa; Kuehn, Christian; Szmolyan, Peter 1 2020 PDE dynamics. An introduction. Zbl 1451.35001 Kuehn, Christian 13 2019 Rigorous validation of stochastic transition paths. Zbl 1427.60142 Breden, Maxime; Kuehn, Christian 9 2019 Power network dynamics on graphons. Zbl 1428.37026 Kuehn, Christian; Throm, Sebastian 8 2019 Discretized fast-slow systems near transcritical singularities. Zbl 1416.37045 Engel, Maximilian; Kuehn, Christian 7 2019 Pattern formation in the doubly-nonlocal Fisher-KPP equation. Zbl 1410.35066 Kuehn, Christian; Tkachov, Pasha 5 2019 Discretized fast-slow systems near pitchfork singularities. Zbl 1436.37062 Arcidiacono, Luca; Engel, Maximilian; Kuehn, Christian 4 2019 Towards sample path estimates for fast-slow stochastic partial differential equations. Zbl 1423.60099 Gnann, Manuel V.; Kuehn, Christian; Pein, Anne 3 2019 A gradient flow formulation for the stochastic Amari neural field model. Zbl 1423.60102 Kuehn, Christian; Tölle, Jonas M. 3 2019 Duck traps: two-dimensional critical manifolds in planar systems. Zbl 1440.34060 Kuehn, Christian; Münch, Christian 3 2019 A note on kernel methods for multiscale systems with critical transitions. Zbl 1410.34170 Hamzi, Boumediene; Kuehn, Christian; Mohamed, Sameh 3 2019 Multiscale dynamics of an adaptive catalytic network. Zbl 1418.37086 Kuehn, Christian 2 2019 Scaling laws and warning signs for bifurcations of SPDEs. Zbl 1447.60106 Kuehn, Christian; Romano, Francesco 1 2019 Smoluchowski’s discrete coagulation equation with forcing. Zbl 1422.34088 Kuehn, Christian; Throm, Sebastian 1 2019 Book review of: M. R. Jeffrey, Hidden dynamics. The mathematics of switches, decisions and other discontinuous behaviour. Zbl 1425.00041 Kuehn, Christian 1 2019 Stochastic mixed-mode oscillations in a three-species predator-prey model. Zbl 1390.92121 Sadhu, Susmita; Kuehn, Christian 15 2018 Analysis and predictability of tipping points with leading-order nonlinear term. Zbl 1397.34095 Romano, Francesco; Kuehn, Christian 3 2018 Tracking particles in flows near invariant manifolds via balance functions. Zbl 1398.70046 Kuehn, Christian; Romanò, Francesco; Kuhlmann, Hendrik C. 3 2018 Validity of amplitude equations for nonlocal nonlinearities. Zbl 1395.35025 Kuehn, Christian; Throm, Sebastian 2 2018 Early-warning signals for bifurcations in random dynamical systems with bounded noise. Zbl 1386.37051 Kuehn, Christian; Malavolta, Giuseppe; Rasmussen, Martin 1 2018 A meeting point of entropy and bifurcations in cross-diffusion herding. Zbl 1386.35162 Jüngel, Ansgar; Kuehn, Christian; Trussardi, Lara 8 2017 Generalized play hysteresis operators in limits of fast-slow systems. Zbl 1381.34064 Kuehn, Christian; Münch, Christian 7 2017 Model spaces of regularity structures for space-fractional SPDEs. Zbl 1373.60106 Berglund, Nils; Kuehn, Christian 5 2017 Continuation of probability density functions using a generalized Lyapunov approach. Zbl 1375.35639 Baars, S.; Viebahn, J. P.; Mulder, T. E.; Kuehn, C.; Wubs, F. W.; Dijkstra, H. A. 4 2017 Uncertainty transformation via Hopf bifurcation in fast-slow systems. Zbl 1404.37063 Kuehn, Christian 2 2017 A dynamical systems approach for the contact-line singularity in thin-film flows. Zbl 1346.76013 Belgacem, Fethi Ben; Gnann, Manuel V.; Kuehn, Christian 6 2016 Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions. Zbl 1338.60152 Berglund, Nils; Kuehn, Christian 6 2016 A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space. Zbl 1344.37034 Kuehn, Christian 6 2016 Heterogeneous population dynamics and scaling laws near epidemic outbreaks. Zbl 1358.34059 Widder, Andreas; Kuehn, Christian 5 2016 Multiple time scale dynamics. Zbl 1335.34001 Kuehn, Christian 305 2015 Multiscale geometry of the Olsen model and non-classical relaxation oscillations. Zbl 1321.34065 Kuehn, Christian; Szmolyan, Peter 21 2015 Traveling waves for a bistable equation with nonlocal diffusion. Zbl 1327.35053 Achleitner, Franz; Kuehn, Christian 18 2015 From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087 Berglund, Nils; Gentz, Barbara; Kuehn, Christian 15 2015 Early-warning signs for pattern-formation in stochastic partial differential equations. Zbl 1331.60119 Gowda, Karna; Kuehn, Christian 11 2015 On bounded positive stationary solutions for a nonlocal Fisher-KPP equation. Zbl 1303.35006 Achleitner, Franz; Kuehn, Christian 10 2015 Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. Zbl 1410.65480 Kuehn, Christian 10 2015 Numerical continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn equation. Zbl 1339.60096 Kuehn, Christian 9 2015 Large deviations for nonlocal stochastic neural fields. Zbl 1291.92038 Kuehn, Christian; Riedler, Martin G. 18 2014 Normal hyperbolicity and unbounded critical manifolds. Zbl 1295.34056 Kuehn, Christian 15 2014 A mathematical framework for critical transitions: normal forms, variance and applications. Zbl 1282.34062 Kuehn, Christian 21 2013 Dynamical analysis of evolution equations in generalized models. Zbl 1417.37090 Kuehn, Christian; Siegmund, Stefan; Gross, Thilo 3 2013 Nonlocal generalized models of predator-prey systems. Zbl 1271.34054 Kuehn, Christian; Gross, Thilo 2 2013 Mixed-mode oscillations with multiple time scales. Zbl 1250.34001 Desroches, Mathieu; Guckenheimer, John; Krauskopf, Bernd; Kuehn, Christian; Osinga, Hinke M.; Wechselberger, Martin 175 2012 Hunting French ducks in a noisy environment. Zbl 1293.37025 Berglund, Nils; Gentz, Barbara; Kuehn, Christian 22 2012 Deterministic continuation of stochastic metastable equilibria via Lyapunov equations and ellipsoids. Zbl 1246.65244 Kuehn, Christian 11 2012 A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics. Zbl 1225.35242 Kuehn, Christian 53 2011 On decomposing mixed-mode oscillations and their return maps. Zbl 1317.34058 Kuehn, Christian 10 2011 Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060 Guckenheimer, John; Kuehn, Christian 35 2010 From first Lyapunov coefficients to maximal canards. Zbl 1193.34117 Kuehn, Christian 10 2010 Computing slow manifolds of saddle type. Zbl 1176.37026 Guckenheimer, John; Kuehn, Christian 32 2009 Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit. Zbl 1362.34075 Guckenheimer, John; Kuehn, Christian 28 2009 Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes. Zbl 1200.37042 Kuehn, Christian 6 2009 all cited Publications top 5 cited Publications all top 5 Cited by 1,162 Authors 77 Kühn, Christian 24 Uldall Kristiansen, K. 19 Wechselberger, Martin 17 Desroches, Mathieu 14 Bi, Qinsheng 13 Osinga, Hinke Maria 10 Krauskopf, Bernd 9 Bashkirtseva, Irina Adol’fovna 9 Carter, Paul M. 9 Engel, Maximilian 9 Neamţu, Alexandra 9 Szmolyan, Peter 9 Vo, Theodore 8 Gnann, Manuel V. 8 Ichida, Yu 8 Inaba, Naohiko 8 Jardón-Kojakhmetov, Hildeberto 8 Krupa, Martin 8 Ryashko, Lev Borisovich 7 Berglund, Nils 7 Han, Xiujing 7 Hogan, S. John 7 Jelbart, Samuel 7 Kirk, Vivien 7 Popović, Nikola 7 Sandstede, Björn 7 Xie, Longjie 6 Ashwin, Peter 6 Breden, Maxime 6 Eilertsen, Justin S. 6 Iuorio, Annalisa 6 Jones, Christopher K. R. T. 6 Kaper, Tasso J. 6 Lucarini, Valerio 6 Rubin, Jonathan E. 6 Sadhu, Susmita 6 Sakamoto, Takashi Okuda 6 Schnell, Santiago 5 Brøns, Morten 5 De Maesschalck, Peter 5 Dijkstra, Henk A. 5 Glizer, Valery Y. 5 Goussis, Dimitris A. 5 Okazaki, Hideaki 5 Rodrigues, Serafim 5 Romanò, Francesco 5 Soresina, Cinzia 5 Tsubone, Tadashi 4 Algaba, Antonio 4 Antali, Mate 4 Avitabile, Daniele 4 Banerjee, Malay 4 Bick, Christian 4 Chen, Guanggan 4 Chen, Shuang 4 Chung, Kwok-Wai 4 Doelman, Arjen 4 Erhardt, André 4 Ersöz, Elif Köksal 4 Finkelshteĭn, Dmitriĭ Leonidovich 4 Holzer, Matt 4 Hsu, Ting-Hao 4 Kondrat’yev, Yuriĭ Grygorovych 4 Kousaka, Takuji 4 Krupa, Maciej 4 Kurths, Jürgen 4 Li, Ji 4 Lima, Pedro Miguel 4 Lizarraga, Ian 4 Páez Chávez, Joseph Nikolai 4 Ponce, Enrique 4 Qin, Bo-Wei 4 Rademacher, Jens Diederich Michael 4 Rendall, Alan D. 4 Rodríguez-Luis, Alejandro J. 4 Sensi, Mattia 4 Sneyd, James 4 Tkachov, Pasha 4 Touboul, Jonathan David 4 Tsaneva-Atanasova, Krasimira T. 4 van den Berg, Jan Bouwe 4 Veraar, Mark C. 4 Wieczorek, Sebastian M. 4 Wijaya, Karunia Putra 4 Yanchuk, Sergiĭ Volodymyrovych 3 Agresti, Antonio 3 Bertram, Richard 3 Böhle, Tobias 3 Bossolini, Elena 3 Bramburger, Jason J. 3 Chekroun, Mickaël D. 3 Chen, Zhenyang 3 Chowdhury, Pranali Roy 3 Cornwell, Paul 3 Cuesta Romero, Carlota Maria 3 Du, Zengji 3 Duan, Jinqiao 3 Fernández-García, Soledad 3 Franović, Igor 3 Gentz, Barbara ...and 1,062 more Authors all top 5 Cited in 161 Serials 64 SIAM Journal on Applied Dynamical Systems 49 Physica D 38 Chaos 28 Journal of Differential Equations 27 Communications in Nonlinear Science and Numerical Simulation 26 Nonlinearity 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Journal of Mathematical Biology 20 Journal of Nonlinear Science 17 Chaos, Solitons and Fractals 16 Nonlinear Dynamics 15 Journal of Dynamics and Differential Equations 13 Journal of Mathematical Analysis and Applications 12 Bulletin of Mathematical Biology 12 Applied Mathematics and Computation 12 SIAM Journal on Applied Mathematics 12 SIAM Journal on Mathematical Analysis 11 Discrete and Continuous Dynamical Systems. Series B 11 The Journal of Mathematical Neuroscience 10 Mathematical Biosciences 9 Journal of Theoretical Biology 8 Journal of Statistical Physics 8 European Journal of Applied Mathematics 8 SIAM Review 7 Physica A 7 Journal of Computational Neuroscience 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Journal of Mathematical Physics 6 Discrete and Continuous Dynamical Systems 6 Discrete and Continuous Dynamical Systems. Series S 5 Applicable Analysis 5 Biological Cybernetics 5 Applied Mathematical Modelling 5 Nonlinear Analysis. Real World Applications 5 Stochastics and Dynamics 5 Journal of Physics A: Mathematical and Theoretical 5 Mathematical Modelling of Natural Phenomena 4 Mathematical Methods in the Applied Sciences 4 Physics Reports 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Applied Mathematics Letters 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 4 Electronic Journal of Probability 4 Journal of Mathematical Chemistry 4 Journal of Computational Dynamics 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Archive for Rational Mechanics and Analysis 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 3 Journal of Computational and Applied Mathematics 3 Theoretical Population Biology 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Computational Mathematics 3 Journal of Evolution Equations 3 Mathematical Biosciences and Engineering 3 Journal of Elliptic and Parabolic Equations 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Automatica 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Stochastic Analysis and Applications 2 Neural Computation 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical and Computer Modelling of Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Journal of Dynamical and Control Systems 2 Dynamical Systems 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Multiscale Modeling & Simulation 2 Journal of Biological Dynamics 2 Communications in Computational Physics 2 International Journal of Biomathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Electronic Research Archive 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Physics Letters. A 1 Wave Motion 1 Advances in Mathematics 1 The Annals of Probability 1 BIT 1 Commentarii Mathematici Helvetici 1 Czechoslovak Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Meccanica 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A ...and 61 more Serials all top 5 Cited in 42 Fields 334 Ordinary differential equations (34-XX) 281 Biology and other natural sciences (92-XX) 226 Dynamical systems and ergodic theory (37-XX) 214 Partial differential equations (35-XX) 121 Probability theory and stochastic processes (60-XX) 73 Numerical analysis (65-XX) 55 Mechanics of particles and systems (70-XX) 29 Fluid mechanics (76-XX) 28 Systems theory; control (93-XX) 27 Statistical mechanics, structure of matter (82-XX) 20 Geophysics (86-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Operator theory (47-XX) 16 Mechanics of deformable solids (74-XX) 13 Combinatorics (05-XX) 12 Integral equations (45-XX) 11 Quantum theory (81-XX) 10 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Approximations and expansions (41-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 6 Real functions (26-XX) 6 Optics, electromagnetic theory (78-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operations research, mathematical programming (90-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.