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Author ID: kuhn.christian Recent zbMATH articles by "Kühn, Christian"
Published as: Kuehn, Christian; Kuehn, C.; Kühn, Christian
Homepage: http://www.multiscale.systems/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
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

Publications by Year

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 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

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