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Full Publication List:

    (for a list of research topics and publications grouped by topic, please click here)

   

Preprints:

 


"Phase transitions for polyadic epidemic and voter models with multiscale groups"



P. Steinmeyer, J. Mölter and C. Kuehn






"On the transition between autonomous and non-autonomous systems: the case of FitzHugh-Nagumo's model"



I. LongoE. Queirolo and C. Kuehn  






"Networks of Pendula with Diffusive Interactions"



R. Bonnetto, H. Jardon Kojakhmetov and C. Kuehn






"Resilience of the Atlantic Meridional Overturning Circulation"



Valerian Jaques-Dumas, H.A. Dijkstra and C. Kuehn






"Analysis of the geometric structure of neural networks and neural ODEs via Morse functions"



C. Kuehn and S.-V. Kuntz






"Adjoint-based projections for quantifying statistical covariance near stochastically perturbed limit cycles and tori"



Z. Ahsan, C. Kuehn and H. Dankowicz







"Mean-field limits for stochastic interacting particles on digraph measures"



C. Kuehn and C. Pulido






"The amplitude equation for the space-fractional Swift-Hohenberg equation"



C. Kuehn and S. Throm






"Early-warning signs of critical transitions - The alpha-stable case"



L.S. Layritz, I. Pavlyukevich, A. Rammig and C. Kuehn






"On network dynamical systems with a nilpotent singularity"



H. Jardon Kojakhmetov and C. Kuehn






"Embedding capabilities of neural ODEs"



C. Kuehn and S.-V. Kuntz






"Fast reactions and slow manifolds"



C. Kuehn and J.-E. Sulzbach







"Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation"



F. Hummel, S. Jelbart and C. Kuehn






"Vlasov equations on directed hypergraph measures"



C. Kuehn and C. Xu






"Mean field limits of co-evolutionary heterogeneous networks"



M. Gkogkas, C. Kuehn and C. Xu






"Blowing-up nonautonomous vector fields: infinite delay equations and invariant manifolds"


L. Arcidiacono and C. Kuehn






"Predicting sparse circle maps from their dynamics"


F. Krahmer, C. Kuehn and N. Sissouno






    Journal Publications:  


"Public Transport across Models and Scales: A Case Study of the Munich Network"



J. Mölter, J. Ji, B. Lienkamp, Q. Zhang, A.T. Moreno, M. Schiffer, R.Moeckel and C. Kuehn



PNAS Nexus, accepted / to appear







"Ergodicity in planar slow-fast systems through slow relation functions"


R. Huzak, H. Jardon Kojakhmetov and C. Kuehn


SIAM Journal on Applied Dynamical Systems, accepted / to appear






"Global stability for McKean-Vlasov equations on large networks" 


C. Kuehn and T. Wöhrer


European Journal of Applied Mathematics, accepted / to appear


 


"Warning signs  for boundary noise and their application to an ocean Boussinesq model"


P. Bernuzzi, H.A. Dijkstra and C. Kuehn


Physica D, Vol. 470, 134391, 2024


 


"Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation"


M. Engel, F. Hummel, C. Kuehn, N. Popović, M. Ptashnyk and T. Zacharis


Nonlinearity, accepted / to appear


 


"Uncertainty quantification analysis of bifurcations of the Allen-Cahn equation with random coefficients"


C. Kuehn, C. Piazzola and E. Ullmann


Physica D, accepted / to appear


 


"Computer validation of neural network dynamics: a first case study"


C. Kuehn and E. Queirolo


Discrete and Continuous Dynamical Systems B, accepted / to appear







"Extending discrete geometric singular perturbation theory to non-hyperbolic points"



S. Jelbart and C. Kuehn


Nonlinearity, Vol. 37, No. 10, 105006, 2024







"Geometric analysis of a truncated Galerkin discretization of fast-slow PDEs with transcritical singularities"


M. Engel and C. Kuehn


SIAM Journal on Applied Dynamical Systems, accepted / to appear







"The hyperbolic umbilic singularity in fast-slow systems"


H. Jardon Kojakhmetov, C. Kuehn and M. Steinert


Nonlinearity, Vol.37, No. 9, 095036, 2024







"Early-warning signs for SPDEs with continuous spectrum"


A. Düx, P. Bernuzzi and C. Kuehn


European Journal of Applied Mathematics, accepted / to appear







"Higher-order interactions in phase oscillator networks through phase reductions of oscillators with phase dependent amplitude"


C. Bick, T. Böhle and C. Kuehn


Journal of Nonlinear Science, Vol. 34, No. 77, pp. 1-35, 2024







"Travelling waves for discrete stochastic bistable equations"


C. Geldhauser and C. Kuehn


SN Partial Differential Equations and Applications, accepted / to appear







"Polyadic opinion formation: the adaptive voter model on a hypergraph" 


A. Golovin, J. Mölter and C. Kuehn


Annalen der Physik, Vol. 536, No. 7, 2300342, 2024







"Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling"


H. Jardon Kojakhmetov, C. Kuehn and I. Longo


SIAM Journal on Applied Dynamical Systems, Vol. 23, No. 2, pp. 1548-1570, 2024







"Infinite dimensional slow manifolds for a linear fast-reaction systems"


C. Kuehn, P. Lehner and J.-E. Sulzbach


Contemporary Mathematics, AMS, Vol. 806, pp. 87-104, 2024







"Cross-diffusion induced instability on networks"


C. Kuehn and C. Soresina


Journal of Complex Networks, Vol. 12, No. 2, cnad052, 2024






"Preserving bifurcations through moment closure"


C. Kuehn and J. Mölter


SIAM Journal on Applied Dynamical Systems, Vol. 23, No. 1, pp. 791-812, 2024







"Geometric blow-up for folded limit cycle manifolds in three time-scale systems"


S. Jelbart, C. Kuehn and S.-V. Kuntz


Journal of Nonlinear Science, Vol. 34, No. 17, pp. 1-68, 2024







"A formal geometric blow-up method for pattern forming systems"


S. Jelbart and C. Kuehn


Contemporary Mathematics, AMS, Vol. 806, pp. 49-86, 2024







"Bifurcations and early-warning signs for SPDEs with spatial heterogeneity"


P. Bernuzzi and C. Kuehn


Journal of Dynamics and Differential Equations, accepted / to appear






"Entry-exit functions in fast-slow systems with intersecting eigenvalues"


P. Kaklamanos, C. Kuehn, N. Popović, and M. Sensi


Journal of Dynamics and Differential Equations, accepted / to appear







"The demographic-wealth model for cliodynamics"


L. Wittmann and C. Kuehn


PLOS ONE,  Vol. 19, No. 4, e0298318, 2024






"Resilience of dynamical systems"


H. Krakovska, C. Kuehn and I. Longo


European Journal of Applied Mathematics, Vol. 25, No. 1, pp. 155-200, 2024







"Discrete geometric singular perturbation theory"



S. Jelbart and C. Kuehn


Discrete and Continuous Dynamical Systems A, Vol. 43, No. 1, pp. 57-120, 2023






J120
"Adaptive Dynamical Networks"


R. Berner, T. Gross, C. Kuehn, J. Kurths and S. Yanchuk


Physics Reports, Vol. 1031, pp. 1-59, 2023






J119
"Self-adapting infectious dynamics on random networks"


K. Clauß and C. Kuehn


Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 9, 093110, 2023





J118
"Center manifolds for rough partial differential equations"



C. Kuehn and A. Neamtu


Electronic Journal of Probability, Vol. 28, pp. 1-31, 2023






J117
"Phase oscillator networks with nonlocal higher-order interactions: twisted states, stability and bifurcations"


C. Bick, T. Böhle and C. Kuehn


SIAM Journal on Applied Dynamical Systems, Vol. 23, No. 3, pp. 1590-1638, 2023





J116
"Reduction methods in climate dynamics - a brief review"


F. Hummel, P. Ashwin and C. Kuehn


Physica D, Vol. 448, 133678, 2023





J115
"Combined effects of STDP and homeostatic structural plasticity on coherence resonance"



M. Yamakou and C. Kuehn


Physical Review E, Vol. 107, 044302, 2023






J114
"Continuum limits for adaptive network dynamics"



M. Gkogkas, C. Kuehn and C. Xu


Communications in Mathematical Sciences, Vol. 21, No. 1, pp. 83-106, 2023





J113
"Stochastic rotating waves"


C. Kuehn, J. MacLaurin and G. Zucal


Stochastics and Dynamics, Vol. 22, No. 7, 2240029, 2022






J112
"Vlasov equations on digraph measures"



C. Kuehn and C. Xu


Journal of Differential Equations, Vol. 339, pp. 261-349, 2022






J111
"Community integration algorithms (CIAs) for dynamical systems on networks"



T. Böhle, M. Thalhammer and C. Kuehn



Journal of Computational Physics, Vol. 469, 111524, 2022






J110
"Multi-population phase oscillator networks with higher-order interactions"



C. Bick, T. Böhle and C. Kuehn


Nonlinear Differential Equations and Applications NoDEA, Vol. 29, No. 64, pp. 1-41, 2022






J109
"The influence of a transport process on the epidemic threshold"


C. Kuehn and J. Mölter


Journal of Mathematical Biology, Vol. 85, No. 62, pp. 1-39, 2022






J108
"Assessing the impact of parametric uncertainty on tipping points of the Atlantic meridional overturning circulation"


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


Environmental Research Letters, Vol. 17, 075002, 2022






J107
"Discretized fast-slow systems with canard points in two dimensions"


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


Journal of Nonlinear Science, Vol. 32, No. 19, pp. 1-41, 2022





J106
"Graphop mean-field 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, Vol. 32, No. 1, 113120, 2022






J105
"Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations"


K. Eichinger, M. Gnann and C. Kuehn


Annals of Applied Probability, Vol. 32, No. 5, p. 3229-3282, 2022






J104
"Single-spike solutions to the 1D shadow Gierer-Meinhardt problem"



A. Iuorio and C. Kuehn


Applied Mathematics Letters, Vol. 132, 108147, 2022






J103
"Controlling canard cycles"


H. Jardon Kojakhmetov and C. Kuehn


Journal of Dynamical and Control Systems, Vol. 28, pp. 517-544, 2022






J102
"A traveling wave bifurcation analysis of turbulent pipe flow"


M. Engel, C. Kuehn and B. de Rijk


Nonlinearity, Vol. 35, No. 11, pp. 5903-5937, 2022






J101
"Balancing quarantine and self-distancing measures in adaptive epidemic networks"



L. Horstmeyer, C. Kuehn and S. Thurner


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






J100
"Estimating rate-induced tipping via asymptotic series and a Melnikov-like method"


C. Kuehn and I. Longo


Nonlinearity, Vol. 35, No. 5, pp. 2559-2587, 2022






J99
"Stability analysis of multiplayer games on adaptive simplicial complexes"


D. Schlager, K. 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. 26-41, 2022






J97
"Slow manifolds for infinite-dimensional evolution equations"


F. Hummel and C. Kuehn


Commentarii Mathematici Helvetici, Vol. 97, No. 1, pp. 61-‌132, 2022





J96
"Traveling wave dynamics for Allen-Cahn equations with strong irreversibility"


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


Transactions of the American Mathematical Society, Vol. 375, No. 5, pp. 3173-3238, 2022






J95
"Warning signs for non-Markovian 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. 31-57, 2022






J93
"Graphop mean-field limits for Kuramoto-type models"


M. Gkogkas and C. Kuehn


SIAM Journal on Applied Dynamical Systems, Vol. 21, No. 1, pp. 248-‌283, 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. 2295-2334, 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 blow-up method for fast-slow systems"


H. Jardon Kojakhmetov and C. Kuehn


Contemporary Mathematics, AMS, Vol. 775, pp. 115-160, 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. 252-266, 2021






J86
"Rough center manifolds"


C. Kuehn and A. Neamtu


SIAM Journal on Mathematical Analysis, Vol. 53, No. 4, pp. 3912-3957, 2021






J85
"Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo"



M.E. Gonzalez Herrero, C. Kuehn and K. Tsaneva-Atanasova


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 Allen-Cahn equation"


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


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





J82
"Homogenization of fully-coupled chaotic fast-slow 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. 1603--1641, 2021






J80
"On the influence of cross-diffusion in pattern formation"


M. Breden, C. Kuehn and C. Soresina


Journal of Computational Dynamics, Vol. 8, No. 2, pp. 213-240, 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. 2631-2663, 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 boundedness-by-entropy 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 fast-slow consensus networks with a dynamic weight"


H. Jardon Kojakhmetov and C. Kuehn


Journal of Nonlinear Science, Vol. 30, pp. 2737-2786, 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. 2185-2227, 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. 577-618, 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 fast-reaction system and its cross-diffusion 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 Mathematiker-Vereinigung, Vol. 122, No. 2, pp. 73-107, 2020





J64
"Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion"


K. Eichinger, C. Kuehn and A. Neamtu


Journal of Statistical Physics, Vol. 179, No. 5, pp. 1222-1266, 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. 1269-1290, 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 fast-slow systems near pitchfork singularities"


L. Arcidiacono, M. Engel and C. Kuehn


Journal of Difference Equations and Applications, Vol. 25, No. 7, pp. 1024-1051, 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. 1227-1252, 2019






J58
"Power network dynamics on graphons"


C. Kuehn and S. Throm


SIAM Journal on Applied Mathematics, Vol. 79, No. 4, pp. 1271-1292, 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 fast-slow systems near transcritical singularities"


M. Engel and C. Kuehn


Nonlinearity, Vol. 32, No. 7, pp. 2365-2391, 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. 88-129, 2019






J53
"Duck traps: two-dimensional critical manifolds in planar systems"


C. Kuehn and C. Münch


Dynamical Systems: An International Journal, Vol. 34, No. 4, pp. 584-612, 2019






J52
"Pattern formation in the doubly-nonlocal Fisher-KPP equation"


C. Kuehn and P. Tkachov


Discrete and Continuous Dynamical Systems A, Vol. 39, No. 4, pp. 2077-2100, 2019





J51
"Towards sample path estimates for fast-slow stochastic partial differential equations"


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


European Journal of Applied Mathematics, Vol. 30, No. 5, pp. 1004-1024, 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. 853-868, 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. 907-917, 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 leading-order nonlinear terms"


F. Romano and C. Kuehn


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






J45
"Early-warning 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. 983-1000, 2018





J43
"Stochastic mixed-mode oscillations in a three-species predator-prey 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. 1650-1685, 2017






J40
"Model spaces of regularity structures for space-fractional SPDEs"


N. Berglund and C. Kuehn


Journal of Statistical Physics, Vol. 168, No. 2, pp. 331-368, 2017






J39
"Uncertainty transformation via Hopf bifurcation in fast-slow 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 cross-diffusion herding"


A. Jüngel, C. Kuehn and L. Trussardi


European Journal of Applied Mathematics, Vol. 28, No. 2, pp. 317-356, 2017






J36
"A dynamical systems approach for the contact-line singularity in thin-film flows"


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


Nonlinear Analysis A: Theory, Methods & Applications, Vol. 144, pp. 204-235, 2016






J35
"A numerical framework to understand transitions in high-dimensional 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. 1093-1118, 2016
 
       
  J33 "Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions"  
    N. Berglund and C. Kuehn  
    Electronic Journal of Probability, Vol. 21, No. 18, pp. 1-48, 2016 [erratum]
 
       
  J32 "A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space"  
    C. Kuehn  
    Journal of Physics: Conference Series, Vol. 727, 012008, 2016
 
       
  J31 "Numerical continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn equation"  
    C. Kuehn  
    SIAM/ASA Journal on Uncertainty Quantification, Vol. 3, No. 1, pp. 762-789, 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 nonlocal-diffusion"  
    F. Achleitner and C. Kuehn  
    Advances in Differential Equations, Vol. 20, No. 9-10, pp. 887-936, 2015  
       
  J28 "Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs"  
    C. Kuehn  
    Applied Mathematics and Computation, Vol. 266, pp. 656-674, 2015  
       
  J27 "Multiscale geometry of the Olsen model and non-classical relaxation oscillations"  
    C. Kuehn and P. Szmolyan  
    Journal of Nonlinear Science, Vol. 25, No. 3, pp. 583-629, 2015  
       
  J26 "Early-warning signs for saddle-escape transitions in complex networks"  
    C. Kuehn, G. Zschaler and T. Gross  
    Scientific Reports, Vol. 5, 13190, 2015 [download paper + correctly-formatted SI here]  
       
  J25 "From random Poincaré maps to stochastic mixed-mode-oscillation patterns"  
    N. Berglund, B. Gentz and C. Kuehn  
    Journal of Dynamics and Differential Equations, Vol. 27, No. 1, pp. 83-136, 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 reaction-diffusion 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 Fisher-KPP equation"  
    F. Achleitner and C. Kuehn  
    Nonlinear Analysis A: Theory, Methods & Applications, Vol. 112, pp. 15-29, 2015  
       
  J21 "Early-warning 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. 55-69, 2015  
       
  J20 "Normal hyperbolicity and unbounded critical manifolds"  
    C. Kuehn  
    Nonlinearity, Vol. 27, No. 6, pp. 1351-1366, 2014  
       
  J19 "Critical transitions in social network activity"  
    C. Kuehn, E. Martens and D. Romero  
    Journal of Complex Networks, Vol. 2, No. 2, pp. 141-152, 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. 1-33, 2014  
       
  J17 "A mathematical framework for critical transitions: normal forms, variance and applications"  
    C. Kuehn  
    Journal of Nonlinear Science, Vol. 23, No. 3, pp. 457-510, 2013  
       
  J16 "Nonlocal generalized models of predator-prey systems"  
    C. Kuehn and T. Gross  
    Discrete and Continuous Dynamical Systems B, Vol. 18, No. 3, pp. 693-720, 2013  
       
  J15 "Warning signs for wave speed transitions of noisy Fisher-KPP invasion fronts"  
    C. Kuehn  
    Theoretical Ecology, Vol. 6, No. 3, pp. 295-308, 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. 1051-1077, 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. A1635-A1658, 2012  
       
  J12 "Mixed-mode 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. 211-288, 2012  
       
  J11 "Time-scale and noise optimality in self-organized 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. 4786-4841, 2012
 
       
  J9 "Scaling effects and spatio-temporal multilevel dynamics in epileptic seizures"  
    C. Meisel and C. Kuehn  
    PLoS ONE, Vol. 7, No. 2, e30371, 2012  
       
  J8 "On decomposing mixed-mode 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, fast-slow systems and stochastic dynamics"  
    C. Kuehn  
    Physica D: Nonlinear Phenomena, Vol. 240, No. 12, pp. 1020-1035, 2011  
       
  J6 "Connecting fast-slow systems and Conley index theory via transversality"  
    C. Kuehn  
    Electronic Journal of Differential Equations, Vol. 2010, No. 106, pp. 1-20, 2010  
       
  J5 "Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system''  
    J. Guckenheimer and C. Kuehn  
    SIAM Journal on Applied Dynamical Systems, Vol. 9, No. 1, pp. 138-153, 2010  
       
  J4 "From first Lyapunov coefficients to maximal canards"  
    C. Kuehn  
    International Journal of Bifurcation and Chaos, Vol. 20, No. 5, pp. 1467-1475, 2010  
       
  J3 "Computing slow manifolds of saddle-type"  
    J. Guckenheimer and C. Kuehn  
    SIAM Journal on Applied Dynamical Systems, Vol. 4, No. 3, pp. 854-879, 2009  
       
  J2 "Homoclinic orbits of the FitzHugh-Nagumo equation: the singular limit''  
    J. Guckenheimer and C. Kuehn  
    Discrete and Continuous Dynamical Systems S, Vol. 2, No. 4, pp. 851-872, 2009  
       
  J1 "Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes"  
    C. Kuehn  
    Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 4, 045101, 2009  
       

    Books:  
  B2 "PDE Dynamics: An Introduction", C. Kuehn, SIAM, 2019
 
   

PDE Dynamics
Christian Kuehn
SIAM, 2019


See also:
  • addenda
  • corrigenda
SIAM Book Cover
Review: SIAM Review / IMA / Zentralblatt
 




  B1 "Multiple Time Scale Dynamics", C. Kuehn, Springer, 2015  
   
Multiple Time Scale Dynamics
Christian Kuehn
Springer Verlag, 2015

See also:

Reviews: DSWeb / MathSciNet / SIAM Review / Zentralblatt
 





    Book Chapters:  

C3
"Fractional Dissipative PDEs" arXiv


F. Achleitner, G. Akagi, C.Kuehn, M. Melenk, Jens Rademacher, C. Soresinaand J. Yang



in: Fractional Dispersive Models and Applications (editors: Panayotis G. Kevrekidis & Jesus Cuevas-Maraver), Springer, pp. 53-122, 2024






C2
"Dynamics of stochastic reaction-diffusion equations" arXiv


C. Kuehn and A. Neamtu


in: Finite and Infinite Dimensional Stochastic Equations with Applications to Physics (editors: H. Lisei & W. Grecksch), Wiley, pp. 1-55, 2020





  C1 "Moment closure - A brief review"  
    C. Kuehn  
    in: Control of Self-Organizing Complex Systems (editors: E. Schöll, S. Klapp & P. Hövel), Springer, pp. 253-271, 2016  
       

   

Further Writings:

 

P1 "A boundary-value problem for covariance analysis of stochastically perturbed limit cycles"


Z. Ahsan, C. Kuehn and H. Dankowicz


ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol. 86304, V009T09A030





R1
"Stability and Fluctuations in Complex Ecological Systems"



E. Forgoston et al.



Report / white paper: Lorentz Center Workshop, Leiden, 8.-12.08.2022






L4
"Introduction to Stochastic Dynamics" (available upon request)



C. Kuehn


Lecture Notes for: Topics in Dynamical Systems 2022/2023





E2
"Nonlinear Uncertainty Quantification for Random ODEs"



SIAM DSWeb Expository Article, August 2022



M. Breden, C. Kuehn and K. Lux






L3
"Introduction to Adaptive Network Dynamics" (available upon request)



C. Kuehn


Lecture Notes for: Case Studies in Mathematical Modelling 2018/2019






V2
Book Review of ''Hidden Dynamics'' (by M.R. Jeffrey) preprint


C. Kuehn


SIAM Review, Vol. 61, No. 3, within pp. 625–640, 2019.





L2
"Dynamical Systems I: ODEs and Introduction to Nonlinear Dynamics"


C. Kuehn


AMS Open Math Notes, 66pp., 2018





L1
"Dynamical Systems II: A Concise Graduate Course"



C. Kuehn


AMS Open Math Notes, 125pp., 2018






V1
Book Review of "Network Science" (by A.-L. Barabasi)preprint


C. Kuehn


SIAM Activity Group, DSWeb Magazine, April 2017






AC
"Addenda and Corrigenda to Journal Publications"



C. Kuehn




  T4 "Multiscale dynamical systems: analysis and numerics"  
    C. Kuehn  
    Habilitation: Vienna University of Technology, 2016  
       
  E1 "The curse of instability"  
    C. Kuehn  
    Complexity, (section: 'Simply Complex'), Vol. 20, No. 6, pp. 9-14, 2015  
       
  T3 "Multiple time scale dynamics with two fast variables and one slow variable"  
    C. Kuehn  
    Ph.D. thesis: Cornell University, 2010  
       
  T2 "Introduction to potential theory via applications"  
    C. Kuehn  
    Part III essay: University of Cambridge, 2006  
       
  T1 "Stability analysis of nonlinear subdivision schemes"  
    C. Kuehn  
    B.Sc. thesis: Jacobs University, 2005