| |
|
Journal
Publications: |
|
|
| "On the transition between
autonomous and non-autonomous systems: the case of FitzHugh-Nagumo's
model"  |
|
|
| I. Longo, E. Queirolo and C. Kuehn |
|
|
| Chaos: An
Interdisciplinary Journal of Nonlinear Science, accepted / to appear |
|
|
|
|
|
|
| "Mean
field limits of signed co-evolutionary heterogeneous networks" |
|
|
| M. Gkogkas, C. Kuehn and C. Xu |
|
|
| European Journal of Applied Mathematics, accepted / to appear |
|
|
|
|
|
|
|
"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, Vol. 5, No. 35, pp. 1-23, 2024
|
|
|
|
|
|
|
|
"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 |
|
| |
|
|
|
