

Journal
Publications: 


P01a

"Discrete geometric singular perturbation theory" 



S. Jelbart and C. Kuehn 



Discrete and Continuous Dynamical Systems A, accepted / to appear







P07 
"Vlasov equations on digraph measures" 



C. Kuehn and C. Xu 



Journal of Differential Equations, accepted / to appear







P03b 
"Graphop meanfield limits and synchronization for the stochastic Kuramoto model" 



M. Gkogkas, B. Jüttner, C. Kuehn and E.A. Martens 



Chaos: An Interdisciplinary Journal of Nonlinear Science, accepted / to appear







P03c 
"Community integration algorithms (CIAs) for dynamical systems on networks" 



T. Böhle, M. Thalhammer and C. Kuehn 



Journal of Computational Physics, accepted / to appear







P12a 
"Multipopulation phase oscillator networks with higherorder interactions" 



C. Bick, T. Böhle and C. Kuehn 



Nonlinear Differential Equations and Applications NoDEA, accepted / to appear







P11c

"Stochastic rotating waves" 



C. Kuehn, J. MacLaurin and G. Zucal 



Stochastics and Dynamics, accepted / to appear







P12b 
"The influence of a transport process on the epidemic threshold" 



C. Kuehn and J. Mölter 



Journal of Mathematical Biology, accepted / to appear







P10a

"Uniting parametric uncertainty and tipping diagrams" 



K. Lux, P. Ashwin, R. Wood and C. Kuehn 



Environmental Research Letters, accepted / to appear







P09 
"Continuum limits for adaptive network dynamics" 



M. Gkogkas, C. Kuehn and C. Xu 



Communications in Mathematical Sciences, accepted / to appear







P05a

"Singlespike solutions to the 1D shadow GiererMeinhardt problem" 



A. Iuorio and C. Kuehn




Applied Mathematics Letters, accepted / to appear 






P07a 
"Discretized fastslow systems with canard points in two dimensions" 



M. Engel, C. Kuehn, M. Petrera and Y. Suris 



Journal of Nonlinear Science, accepted / to appear 






P02c 
"Multiscale analysis for travelingpulse solutions to the stochastic FitzHughNagumo equations" 



K. Eichinger, M. Gnann and C. Kuehn 



Annals of Applied Probability, accepted / to appear







P11d 
"Controlling canard cycles" 



H. Jardon Kojakhmetov and C. Kuehn 



Journal of Dynamical and Control Systems, accepted / to appear







J101

"Balancing quarantine and selfdistancing measures in adaptive epidemic networks"




L. Horstmeyer, C. Kuehn and S. Thurner 



Bulletin of Mathematical Biology, Vol. 84, No. 8, 79, 2022







J100

"Estimating rateinduced tipping via asymptotic series and a Melnikovlike method" 



C. Kuehn and I. Longo 



Nonlinearity, Vol. 35, No. 5, pp. 25592587, 2022







J99

"Stability analysis of multiplayer games on adaptive simplicial complexes" 



Daniela Schlager, Konstantin Clauß and C. Kuehn 



Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 32, 053128, 2022







J98

"Random walks and Laplacians on hypergraphs: When do they match?" 



R. Mulas, C. Kuehn, T. Böhle and J. Jost 



Discrete Applied Mathematics, Vol. 317, pp. 2641, 2022







J97

"Slow manifolds for infinitedimensional evolution equations" 



F. Hummel and C. Kuehn 



Commentarii Mathematici Helvetici, Vol. 97, No. 1, pp. 61132, 2022 






J96

"Traveling wave dynamics for AllenCahn equations with strong irreversibility" 



G. Akagi, C.Kuehn and K.I. Nakamura 



Transactions of the American Mathematical Society, Vol. 375, No. 5, pp. 31733238, 2022







J95

"Warning signs for nonMarkovian bifurcations: color blindness and scaling laws" 



C. Kuehn, K. Lux and A. Neamtu 



Proceedings of the Royal Society A, Vol. 487, No. 2259, 20210740, 2022







J94

"On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs" 



T. Böhle, C. Kuehn, and M. Thalhammer 



International Journal of Computer Mathematics,
Vol. 99, No. 1,
pp. 3157, 2022







J93

"Graphop meanfield limits for Kuramototype models" 



M. Gkogkas and C. Kuehn 



SIAM Journal on Applied Dynamical Systems, Vol. 21, No. 1, pp. 248283, 2022







J92

"A general view on double limits in differential equations" 



C. Kuehn, N.
Berglund, C. Bick, M. Engel, T. Hurth, A. Iuorio and C. Soresina 



Physica D, Vol. 431, 133105, 2022







J91

"Uncertainty quantification of bifurcations in random ordinary differential equations" 



C. Kuehn and K. Lux 



SIAM Journal on Applied Dynamical Systems, Vol. 20, No. 4, pp. 22952334, 2021







J90

"Coupled hypergraph maps and chaotic cluster synchronization" 



T. Böhle, C. Kuehn, R. Mulas and J. Jost 



EPL (Europhysics Letters), Vol. 136, 40005, 2021







J89

"A survey on the blowup method for fastslow systems" 



H. Jardon Kojakhmetov and C. Kuehn 



Contemporary Mathematics, AMS, Vol. 775, pp. 115160, 2021 






J88

"A geometric analysis of the SIRS epidemiological model on a homogeneous network" 



H. Jardon Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi




Journal of Mathematical Biology, Vol. 83, No. 37, 2021 






J87

"Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions" 



M. Engel, F. Hummel and C. Kuehn 



Proceedings of the American Mathematical Society, Vol. 8, pp. 252266, 2021







J86

"Rough center manifolds" 



C. Kuehn and A. Neamtu 



SIAM Journal on Mathematical Analysis, Vol. 53, No. 4, pp. 39123957, 2021







J85

"Reduced models of cardiomyocytes excitability: comparing Karma and FitzHughNagumo"




M.E. Gonzalez Herrero, C. Kuehn and K. TsanevaAtanasova 



Bulletin of Mathematical Biology, Vol. 83, 88, 2021







J84

"A qualitative mathematical model of the immune response under the effect of stress" 



M.E. Gonzalez Herrero and C. Kuehn 



Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 31, No. 6, 061104, 2021







J83

"Metastable speeds in the fractional AllenCahn equation" 



F. Achleitner, C.Kuehn, M. Melenk and A. Rieder 



Applied Mathematics and Computation, Vol. 408, 126329, 2021







J82

"Homogenization of fullycoupled chaotic fastslow systems via intermediate stochastic regularization" 



M. Engel, M. Gkogkas and C. Kuehn 



Journal of Statistical Physics, Vol. 183, No. 25, 2021







J81 
"A random dynamical systems perspective on isochronicity for stochastic oscillations" 



M. Engel and C. Kuehn 



Communications in Mathematical Physics, Vol. 386, No. 3, pp. 16031641, 2021







J80

"On the influence of crossdiffusion in pattern formation" 



M. Breden, C. Kuehn and C. Soresina 



Journal of Computational Dynamics, Vol. 8, No. 2, pp. 213240, 2021







J79

"Random attractors via pathwise mild solutions for stochastic parabolic evolution equations" 



C. Kuehn, A. Neamtu and S. Sonner 



Journal of Evolution Equations, Vol. 21, No. 2, pp. 26312663, 2021







J78 
"A universal route to explosive phenomena" 



C. Kuehn and C. Bick 



Science Advances, Vol. 7, No. 16, eabe3824, 2021







J77 
"Numerical continuation for fractional PDEs: sharp teeth and bloated snakes" 



N. Ehstand, C. Kuehn and C. Soresina 



Communications in Nonlinear Science and Numerical Simulation, Vol. 98, 105762, 2021







J76

"A geometric analysis of the SIR, SIRS and SIRWS epidemiological models" 



H. Jardon Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi 



Nonlinear Analysis: Real World Applications, Vol. 58, 103220, 2021







J75

"Global martingale solutions for quasilinear SPDEs via the boundednessbyentropy method" 



G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn and A. Neamtu 



Annals de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Vol. 57, No. 1, pp. 577–602, 2021







J74

"Coupled dynamics on hypergraphs: master stability of steady states and synchronization" 



R. Mulas, C. Kuehn and J. Jost 



Physical Review E, Vol. 101, No. 6, 062313, 2020







J73

"Random attractors for stochastic partly dissipative systems" 



C. Kuehn, A. Neamtu and A. Pein 



Nonlinear Differential Equations and Applications (NoDEA), Vol. 27, No. 35, 2020







J72

"On fastslow consensus networks with a dynamic weight" 



H. Jardon Kojakhmetov and C. Kuehn 



Journal of Nonlinear Science, Vol. 30, pp. 27372786, 2020







J71

"Network dynamics on graphops" 



C. Kuehn 



New Journal of Physics, Vol. 22, 053030, 2020







J70

"Pathwise mild solutions for quasilinear stochastic partial differential equations" 



C. Kuehn and A. Neamtu 



Journal of Differential Equations, Vol. 269, No. 3, pp. 21852227, 2020







J69

"Computing invariant sets of random differential equations using polynomial chaos" 



M. Breden and C. Kuehn 



SIAM Journal on Applied Dynamical Systems, Vol. 19, No. 1, pp. 577618, 2020







J68

"Combined error estimates for local fluctuations of SPDEs" 



C. Kuehn and P. Kürschner 



Advances in Computational Mathematics, Vol. 46, No. 11, 2020







J67

"Numerical continuation for a fastreaction system and its crossdiffusion limit" 



C. Kuehn and C. Soresina 



SN Partial Differential Equations and Applications, Vol. 1, No. 7, 2020







J66

"Adaptive voter model on simplicial complexes" 



L. Horstmeyer and C. Kuehn 



Physical Review E, Vol. 101, No.2, 022305, 2020







J65

"Travelling waves in monostable and bistable stochastic partial differential equations" 



C. Kuehn 



Jahresbericht der Deutschen MathematikerVereinigung, Vol. 122, No. 2, pp. 73107, 2020 






J64

"Sample paths estimates for stochastic fastslow systems driven by fractional Brownian motion" 



K. Eichinger, C. Kuehn and A. Neamtu 



Journal of Statistical Physics, Vol. 179, No. 5, pp. 12221266, 2020







J63

"Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem" 



A. Iuorio, C. Kuehn and P.
Szmolyan 



Discrete and Continuous Dynamical Systems S, Vol. 13, No. 4, pp. 12691290, 2020 






J62

"Random switching near bifurcations" 



T. Hurth and C. Kuehn 



Stochastics and Dynamics, Vol. 20, No. 2, 2050008, 2020 






J61

"Mathematical analysis of nonlocal PDEs for network generation" 



T. Böhle and C. Kuehn




Mathematical Modelling of Natural Phenomena, Vol. 14, No. 5, 506, 2019







J60

"Discretized fastslow systems near pitchfork singularities" 



L. Arcidiacono, M. Engel and C. Kuehn 



Journal of Difference Equations and Applications, Vol. 25, No. 7, pp. 10241051, 2019







J59

"A gradient flow formulation for the stochastic Amari model" 



C. Kuehn and J. Tölle 



Journal of Mathematical Biology, Vol. 79, No. 4, pp. 12271252, 2019







J58

"Power network dynamics on graphons" 



C. Kuehn and S. Throm 



SIAM Journal on Applied Mathematics, Vol. 79, No. 4, pp. 12711292, 2019







J57

"Smoluchowski's coagulation equation with forcing" 



C. Kuehn and S. Throm 



Nonlinear Differential Equations and Applications (NoDEA), Vol. 26, No. 3, 17, 2019







J56

"Discretized fastslow systems near transcritical singularities" 



M. Engel and C. Kuehn 



Nonlinearity, Vol. 32, No. 7, pp. 23652391, 2019







J55

"Multiscale dynamics of an adaptive catalytic network" 



C. Kuehn 



Mathematical Modelling of Natural Phenomena, Vol. 14, No. 4, 402, 2019







J54

"Rigorous validation of stochastic transition paths" 



M. Breden and C. Kuehn 



Journal de Mathématiques Pures et Appliquées, Vol. 131, pp. 88129, 2019







J53

"Duck traps: twodimensional critical manifolds in planar systems" 



C. Kuehn and C. Münch 



Dynamical Systems: An International Journal, Vol. 34, No. 4, pp. 584612, 2019







J52

"Pattern formation in the doublynonlocal FisherKPP equation" 



C. Kuehn and P. Tkachov 



Discrete and Continuous Dynamical Systems A, Vol. 39, No. 4, pp. 20772100, 2019







J51

"Towards sample path estimates for fastslow stochastic partial differential equations" 



M.V.
Gnann, C. Kuehn and A. Pein 



European Journal of Applied Mathematics, Vol. 30, No. 5, pp. 10041024, 2019 






J50

"Scaling laws and warning signs for bifurcations of SPDEs" 



C. Kuehn and F. Romano 



European Journal of Applied Mathematics, Vol. 30, No. 5, pp. 853868, 2019 






J49

"Network topology near criticality in adaptive epidemics" 



L. Horstmeyer, C. Kuehn and S. Thurner 



Physical Review E, Vol 98, 042313, 2018







J48

"A note on kernel methods for multiscale systems with critical transitions" 



B. Hamzi, C. Kuehn and S. Mohamed 



Mathematical Methods in the Applied Sciences, Vol. 42, No. 3, pp. 907917, 2018







J47

"Validity of amplitude equations for nonlocal nonlinearities" 



C. Kuehn and S. Throm 



Journal of Mathematical Physics, Vol. 59, 071510, 2018 






J46

"Analysis and predictability for tipping points with leadingorder nonlinear terms" 



F. Romano and C. Kuehn 



International Journal of Bifurcation and Chaos, Vol. 28, No. 8, 1850103, 2018







J45

"Earlywarning signals for bifurcations in random dynamical systems with bounded noise" 



C. Kuehn, G. Malavolta and M. Rasmussen 



Journal of Mathematical Analysis and Applications, Vol. 464, pp. 58–77, 2018







J44

"Tracking particles in flows near invariant manifolds
via balance functions" 



C. Kuehn, F. Romano and H. Kuhlmann




Nonlinear Dynamics, Vol. 92, No. 3, pp. 9831000, 2018







J43

"Stochastic mixedmode oscillations in a threespecies predatorprey model" 



S. Sadhu and C. Kuehn 



Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 28, No. 3, 033606, 2018







J42

"Quenched noise and nonlinear oscillations in bistable multiscale systems" 



C. Kuehn 



EPL (Europhysics Letters), Vol. 120, 10001, 2017







J41





C. Kuehn and C. Münch 



SIAM Journal
on Applied Dynamical Systems, Vol. 16, No. 3, pp. 16501685, 2017







J40

"Model spaces of regularity structures for spacefractional SPDEs" 



N.
Berglund and C. Kuehn 



Journal of Statistical Physics, Vol. 168, No. 2, pp. 331368, 2017







J39

"Uncertainty
transformation via Hopf bifurcation in fastslow systems" 



C. Kuehn 



Proceedings of the Royal Society A, Vol. 473, 20160346, 2017







J38

"Continuation of probability density functions using a generalized Lyapunov approach" 



S. Baars, J.P. Viebahn, T.E. Mulder, C. Kuehn, F.W. Wubs and H.A. Dijkstra 



Journal of Computational Physics, Vol. 336, No. 1, pp. 627–643, 2017







J37

"A
meeting point of entropy and bifurcations in crossdiffusion herding" 



A.
Jüngel, C. Kuehn and L.
Trussardi 



European Journal of Applied Mathematics, Vol. 28, No. 2, pp. 317356, 2017







J36

"A
dynamical systems approach for the contactline singularity in thinfilm
flows" 



F.B. Belgacem, M.V.
Gnann and C. Kuehn 



Nonlinear Analysis A: Theory, Methods & Applications, Vol. 144, pp. 204235, 2016







J35

"A numerical framework to understand transitions in highdimensional stochastic dynamical systems" 



H.A. Dijkstra, A. Tantet, J. Viebahn, E. Mulder, M. Hebbink, D. Castellane, H. van der Pol, J. Frank, S. Baars, F. Wubs, M. Chekroun and C. Kuehn 



Dynamics and Statistics of the Climate System, Vol. 1, No. 1, dzw003 (review paper), 2016 






J34 
"Heterogeneous
population dynamics and scaling laws near epidemic outbreaks"




A. Widder
and C. Kuehn 



Mathematical Biosciences and Engineering, Vol. 13, No. 5, pp. 10931118, 2016







J33 
"Regularity
structures and renormalisation of FitzHughNagumo SPDEs in three space
dimensions" 



N.
Berglund and C. Kuehn 



Electronic Journal of Probability, Vol. 21, No. 18,
pp. 148, 2016 [erratum]







J32 
"A
remark on geometric desingularization of a nonhyperbolic point using
hyperbolic space" 



C. Kuehn 



Journal of Physics: Conference Series, Vol. 727, 012008, 2016







J31 
"Numerical
continuation and SPDE stability for the 2D cubicquintic AllenCahn
equation" 



C. Kuehn 



SIAM/ASA Journal on Uncertainty Quantification, Vol.
3, No. 1, pp. 762789, 2015 






J30 
"Predictability
of critical transitions" 



X.
Zhang, C. Kuehn and S.
Hallerberg 



Physical Review E, Vol. 92, 052905, 2015 






J29 
"Traveling
waves for bistable evolution equations with nonlocaldiffusion"




F.
Achleitner and C. Kuehn 



Advances in Differential Equations, Vol. 20, No. 910,
pp. 887936, 2015 






J28 
"Efficient
gluing of numerical continuation and a multiple solution method for
elliptic PDEs" 



C. Kuehn 



Applied Mathematics and Computation, Vol. 266, pp.
656674, 2015 






J27 
"Multiscale
geometry of the Olsen model and nonclassical relaxation oscillations"




C. Kuehn and P.
Szmolyan 



Journal of Nonlinear Science, Vol. 25, No. 3, pp. 583629,
2015 






J26 
"Earlywarning
signs for saddleescape transitions in complex networks"




C. Kuehn, G.
Zschaler and T.
Gross 



Scientific Reports, Vol. 5, 13190, 2015 [download paper
+ correctlyformatted SI here] 






J25 
"From
random Poincaré maps to stochastic mixedmodeoscillation patterns"




N.
Berglund, B.
Gentz and C. Kuehn 



Journal of Dynamics and Differential Equations, Vol.
27, No. 1, pp. 83136, 2015 






J24 
"Critical
slowing down governs the transition to neuron spiking" 



C.
Meisel, A.
Klaus, C. Kuehn and D.
Plenz 



PLoS Computational Biology, Vol. 11, No.
2, e1004097, 2015 






J23 
"Analysis
and numerics of travelling waves for asymmetric fractional reactiondiffusion
equations" 



F.
Achleitner and C. Kuehn 



Communications in Applied and Industrial Mathematics,
Vol. 6, No. 2, 2015 






J22 
"On
bounded positive stationary solutions for a nonlocal FisherKPP equation"




F.
Achleitner and C. Kuehn 



Nonlinear Analysis A: Theory, Methods & Applications,
Vol. 112, pp. 1529, 2015 






J21 
"Earlywarning
signs for pattern formation in stochastic partial differential equations"




K. Gowda and C.
Kuehn 



Communications in Nonlinear Science and Numerical Simulation,
Vol. 22, No. 1, pp. 5569, 2015 






J20 
"Normal
hyperbolicity and unbounded critical manifolds" 



C. Kuehn 



Nonlinearity, Vol. 27, No. 6, pp. 13511366, 2014 






J19 
"Critical
transitions in social network activity" 



C. Kuehn, E.
Martens and D. Romero 



Journal of Complex Networks, Vol. 2, No. 2, pp. 141152,
2014 [see also: OUP
Blog] 






J18 
"Large
deviations for nonlocal stochastic neural fields" 



C. Kuehn and M.
Riedler 



Journal of Mathematical Neuroscience, Vol. 4, No. 1,
pp. 133, 2014 






J17 
"A
mathematical framework for critical transitions: normal forms, variance
and applications" 



C. Kuehn 



Journal of Nonlinear Science, Vol. 23, No. 3, pp. 457510,
2013 






J16 
"Nonlocal
generalized models of predatorprey systems" 



C. Kuehn and T.
Gross 



Discrete and Continuous Dynamical Systems B, Vol. 18,
No. 3, pp. 693720, 2013 






J15 
"Warning
signs for wave speed transitions of noisy FisherKPP invasion fronts"




C. Kuehn 



Theoretical Ecology, Vol. 6, No. 3, pp. 295308, 2013 






J14 
"Dynamical
analysis of evolution equations in generalized models" 



C. Kuehn, S.
Siegmund and T.
Gross 



IMA Journal of Applied Mathematics, Vol. 78, No. 5,
pp. 10511077, 2013 






J13 
"Deterministic
continuation of stochastic metastable equilibria via Lyapunov equations
and ellipsoids" 



C. Kuehn 



SIAM Journal on Scientific Computing, Vol. 34, No.
3, pp. A1635A1658, 2012 






J12 
"Mixedmode
oscillations with multiple time scales" 



M. Desroches,
J. Guckenheimer,
B. Krauskopf,
C. Kuehn, H.
Osinga and M. Wechselberger 



SIAM Review, Vol. 54, No. 2, pp. 211288, 2012 






J11 
"Timescale
and noise optimality in selforganized critical adaptive networks"




C. Kuehn 



Physical Review E, Vol. 85, No. 2, 026103, 2012 






J10 
"Hunting
French ducks in a noisy environment" 



N.
Berglund, B.
Gentz and C. Kuehn 



Journal of Differential Equations, Vol.
252, No. 9, pp. 47864841, 2012







J9 
"Scaling
effects and spatiotemporal multilevel dynamics in epileptic seizures"




C.
Meisel and C. Kuehn 



PLoS ONE, Vol. 7, No. 2, e30371, 2012 






J8 
"On
decomposing mixedmode oscillations and their return maps"




C. Kuehn 



Chaos: An Interdisciplinary Journal of Nonlinear Science,
Vol. 21, No. 3, 033107, 2011 






J7 
"A
mathematical framework for critical transitions: bifurcations, fastslow
systems and stochastic dynamics" 



C. Kuehn 



Physica D: Nonlinear Phenomena, Vol. 240, No. 12, pp.
10201035, 2011 






J6 
"Connecting
fastslow systems and Conley index theory via transversality"




C. Kuehn 



Electronic Journal of Differential Equations, Vol.
2010, No. 106, pp. 120, 2010 






J5 
"Homoclinic
orbits of the FitzHughNagumo equation: bifurcations in the full system''




J.
Guckenheimer and C. Kuehn 



SIAM Journal on Applied Dynamical Systems, Vol. 9,
No. 1, pp. 138153, 2010 






J4 
"From
first Lyapunov coefficients to maximal canards" 



C. Kuehn




International Journal of Bifurcation and Chaos, Vol.
20, No. 5, pp. 14671475, 2010 






J3 
"Computing
slow manifolds of saddletype" 



J.
Guckenheimer and C. Kuehn 



SIAM Journal
on Applied Dynamical Systems, Vol. 4, No. 3, pp. 854879, 2009 






J2 
"Homoclinic
orbits of the FitzHughNagumo equation: the singular limit'' 



J.
Guckenheimer and C. Kuehn 



Discrete and Continuous Dynamical Systems S, Vol. 2,
No. 4, pp. 851872, 2009 






J1 
"Scaling
of saddlenode bifurcations: degeneracies and rapid quantitative changes"




C. Kuehn 



Journal of Physics A: Mathematical and Theoretical,
Vol. 42, No. 4, 045101, 2009 




