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Journal
Publications: |
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P11e
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"A geometric analysis of the SIRS epidemiological model on a homogeneous network"  |
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H. Jardon Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi |
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Journal of Mathematical Biology, accepted / to appear
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P01 |
"Uncertainty quantification of bifurcations in random ordinary differential equations" |
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C. Kuehn and K. Lux |
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SIAM Journal on Applied Dynamical Systems, accepted / to appear |
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P02a |
"Coupled hypergraph maps and chaotic cluster synchronization" |
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T. Böhle, C. Kuehn, R. Mulas and J. Jost |
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EPL (Europhysics Letters), accepted / to appear
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P02f |
"On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs" |
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T. Böhle, C. Kuehn, and M. Thalhammer |
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International Journal of Computer Mathematics, accepted / to appear
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P07b |
"Graphop mean-field limits for Kuramoto-type models" |
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M. Gkogkas and C. Kuehn |
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SIAM Journal on Applied Dynamical Systems, accepted / to appear
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P11d |
"Controlling canard cycles" |
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H. Jardon Kojakhmetov and C. Kuehn |
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Journal of Dynamical and Control Systems, accepted / to appear
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J88
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"Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions" |
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M. Engel, F. Hummel and C. Kuehn |
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Proceedings of the American Mathematical Society, Vol. 8, pp. 252-266, 2021
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J87
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"Rough center manifolds" |
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C. Kuehn and A. Neamtu |
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SIAM Journal on Mathematical Analysis, Vol. 53, No. 4, pp. 3912-3957, 2021
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J86
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"Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo"
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M.E. Gonzalez Herrero, C. Kuehn and K. Tsaneva-Atanasova |
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Bulletin of Mathematical Biology, Vol. 83, 88, 2021
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J85
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"A qualitative mathematical model of the immune response under the effect of stress" |
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M.E. Gonzalez Herrero and C. Kuehn |
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Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 31, No. 6, 061104, 2021
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J84
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"Metastable speeds in the fractional Allen-Cahn equation" |
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F. Achleitner, C.Kuehn, M. Melenk and A. Rieder |
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Applied Mathematics and Computation, Vol. 408, 126329, 2021
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J83
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"Homogenization of fully-coupled chaotic fast-slow systems via intermediate stochastic regularization" |
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M. Engel, M. Gkogkas and C. Kuehn |
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Journal of Statistical Physics, Vol. 183, No. 25, 2021
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J82 |
"A random dynamical systems perspective on isochronicity for stochastic oscillations" |
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M. Engel and C. Kuehn |
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Communications in Mathematical Physics, Vol. 386, No. 3, pp. 1603--1641, 2021
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J81
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"On the influence of cross-diffusion in pattern formation" |
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M. Breden, C. Kuehn and C. Soresina |
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Journal of Computational Dynamics, Vol. 8, No. 2, pp. 213-240, 2021
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J80
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"Random attractors via pathwise mild solutions for stochastic parabolic evolution equations" |
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C. Kuehn, A. Neamtu and S. Sonner |
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Journal of Evolution Equations, Vol. 21, No. 2, pp. 2631-2663, 2021
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J79 |
"A universal route to explosive phenomena" |
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C. Kuehn and C. Bick |
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Science Advances, Vol. 7, No. 16, eabe3824, 2021
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J78 |
"Numerical continuation for fractional PDEs: sharp teeth and bloated snakes" |
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N. Ehstand, C. Kuehn and C. Soresina |
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Communications in Nonlinear Science and Numerical Simulation, Vol. 98, 105762, 2021
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J77
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"A geometric analysis of the SIR, SIRS and SIRWS epidemiological models" |
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H. Jardon Kojakhmetov, C. Kuehn, A. Pugliese and M. Sensi |
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Nonlinear Analysis: Real World Applications, Vol. 58, 103220, 2021
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J76
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"Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method" |
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G. Dhariwal, F. Huber, A. Jüngel, C. Kuehn and A. Neamtu |
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Annals de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Vol. 57, No. 1, pp. 577–602, 2021
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J75
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"Coupled dynamics on hypergraphs: master stability of steady states and synchronization" |
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R. Mulas, C. Kuehn and J. Jost |
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Physical Review E, Vol. 101, No. 6, 062313, 2020
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J74
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"Random attractors for stochastic partly dissipative systems" |
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C. Kuehn, A. Neamtu and A. Pein |
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Nonlinear Differential Equations and Applications NoDEA, Vol. 27, No. 35, 2020
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J73
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"On fast-slow consensus networks with a dynamic weight" |
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H. Jardon Kojakhmetov and C. Kuehn |
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Journal of Nonlinear Science, Vol. 30, pp. 2737-2786, 2020
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J72
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"Network dynamics on graphops" |
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C. Kuehn |
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New Journal of Physics, Vol. 22, 053030, 2020
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J71
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"Pathwise mild solutions for quasilinear stochastic partial differential equations" |
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C. Kuehn and A. Neamtu |
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Journal of Differential Equations, Vol. 269, No. 3, pp. 2185-2227, 2020
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J70
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"Computing invariant sets of random differential equations using polynomial chaos" |
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M. Breden and C. Kuehn |
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SIAM Journal on Applied Dynamical Systems, Vol. 19, No. 1, pp. 577-618, 2020
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J69
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"Combined error estimates for local fluctuations of SPDEs" |
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C. Kuehn and P. Kürschner |
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Advances in Computational Mathematics, Vol. 46, No. 11, 2020
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J68
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"Numerical continuation for a fast-reaction system and its cross-diffusion limit" |
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C. Kuehn and C. Soresina |
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SN Partial Differential Equations and Applications, Vol. 1, No. 7, 2020
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J67
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"Adaptive voter model on simplicial complexes" |
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L. Horstmeyer and C. Kuehn |
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Physical Review E, Vol. 101, No.2, 022305, 2020
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J66
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"Travelling waves in monostable and bistable stochastic partial differential equations" |
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C. Kuehn |
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Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 122, No. 2, pp. 73-107, 2020 |
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J65
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"Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion" |
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K. Eichinger, C. Kuehn and A. Neamtu |
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Journal of Statistical Physics, Vol. 179, No. 5, pp. 1222-1266, 2020
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J64
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"Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem" |
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A. Iuorio, C. Kuehn and P.
Szmolyan |
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Discrete and Continuous Dynamical Systems S, Vol. 13, No. 4, pp. 1269-1290, 2020 |
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J63
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"Random switching near bifurcations" |
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T. Hurth and C. Kuehn |
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Stochastics and Dynamics, Vol. 20, No. 2, 2050008, 2020 |
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J62
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"Mathematical analysis of nonlocal PDEs for network generation" |
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T. Böhle and C. Kuehn
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Mathematical Modelling of Natural Phenomena, Vol. 14, No. 5, 506, 2019
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J61
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"Discretized fast-slow systems near pitchfork singularities" |
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L. Arcidiacono, M. Engel and C. Kuehn |
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Journal of Difference Equations and Applications, Vol. 25, No. 7, pp. 1024-1051, 2019
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J60
|
"A survey on the blow-up method for fast-slow systems" |
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H. Jardon Kojakhmetov and C. Kuehn |
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Contemporary Mathematics, AMS, accepted / to appear, 2019
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J59
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"A gradient flow formulation for the stochastic Amari model" |
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C. Kuehn and J. Tölle |
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Journal of Mathematical Biology, Vol. 79, No. 4, pp. 1227-1252, 2019
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J58
|
"Power network dynamics on graphons" |
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C. Kuehn and S. Throm |
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SIAM Journal on Applied Mathematics, Vol. 79, No. 4, pp. 1271-1292, 2019
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J57
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"Smoluchowski's coagulation equation with forcing" |
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C. Kuehn and S. Throm |
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Nonlinear Differential Equations and Applications (NoDEA), Vol. 26, No. 3, 17, 2019
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J56
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"Discretized fast-slow systems near transcritical singularities" |
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M. Engel and C. Kuehn |
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Nonlinearity, Vol. 32, No. 7, pp. 2365-2391, 2019
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J55
|
"Multiscale dynamics of an adaptive catalytic network" |
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C. Kuehn |
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Mathematical Modelling of Natural Phenomena, Vol. 14, No. 4, 402, 2019
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J54
|
"Rigorous validation of stochastic transition paths" |
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M. Breden and C. Kuehn |
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Journal de Mathématiques Pures et Appliquées, Vol. 131, pp. 88-129, 2019
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J53
|
"Duck traps: two-dimensional critical manifolds in planar systems" |
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C. Kuehn and C. Münch |
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Dynamical Systems: An International Journal, Vol. 34, No. 4, pp. 584-612, 2019
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J52
|
"Pattern formation in the doubly-nonlocal Fisher-KPP equation" |
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C. Kuehn and P. Tkachov |
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Discrete and Continuous Dynamical Systems A, Vol. 39, No. 4, pp. 2077-2100, 2019
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J51
|
"Towards sample path estimates for fast-slow stochastic partial differential equations"  |
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M.V.
Gnann, C. Kuehn and A. Pein |
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European Journal of Applied Mathematics, Vol. 30, No. 5, pp. 1004-1024, 2019 |
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J50
|
"Scaling laws and warning signs for bifurcations of SPDEs" |
|
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C. Kuehn and F. Romano |
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European Journal of Applied Mathematics, Vol. 30, No. 5, pp. 853-868, 2019 |
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J49
|
"Network topology near criticality in adaptive epidemics" |
|
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L. Horstmeyer, C. Kuehn and S. Thurner |
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Physical Review E, Vol 98, 042313, 2018
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J48
|
"A note on kernel methods for multiscale systems with critical transitions" |
|
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B. Hamzi, C. Kuehn and S. Mohamed |
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Mathematical Methods in the Applied Sciences, Vol. 42, No. 3, pp. 907-917, 2018
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J47
|
"Validity of amplitude equations for nonlocal nonlinearities" |
|
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C. Kuehn and S. Throm |
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Journal of Mathematical Physics, Vol. 59, 071510, 2018 |
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J46
|
"Analysis and predictability for tipping points with leading-order nonlinear terms" |
|
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F. Romano and C. Kuehn |
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International Journal of Bifurcation and Chaos, Vol. 28, No. 8, 1850103, 2018
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J45
|
"Early-warning signals for bifurcations in random dynamical systems with bounded noise" |
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C. Kuehn, G. Malavolta and M. Rasmussen |
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Journal of Mathematical Analysis and Applications, Vol. 464, pp. 58–77, 2018
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J44
|
"Tracking particles in flows near invariant manifolds
via balance functions" |
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C. Kuehn, F. Romano and H. Kuhlmann
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Nonlinear Dynamics, Vol. 92, No. 3, pp. 983-1000, 2018
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J43
|
"Stochastic mixed-mode oscillations in a three-species predator-prey model" |
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S. Sadhu and C. Kuehn |
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Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 28, No. 3, 033606, 2018
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J42
|
"Quenched noise and nonlinear oscillations in bistable multiscale systems" |
|
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C. Kuehn |
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EPL (Europhysics Letters), Vol. 120, 10001, 2017
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J41
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C. Kuehn and C. Münch |
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SIAM Journal
on Applied Dynamical Systems, Vol. 16, No. 3, pp. 1650-1685, 2017
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J40
|
"Model spaces of regularity structures for space-fractional SPDEs" |
|
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N.
Berglund and C. Kuehn |
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Journal of Statistical Physics, Vol. 168, No. 2, pp. 331-368, 2017
|
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J39
|
"Uncertainty
transformation via Hopf bifurcation in fast-slow systems" |
|
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C. Kuehn |
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Proceedings of the Royal Society A, Vol. 473, 20160346, 2017
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J38
|
"Continuation of probability density functions using a generalized Lyapunov approach" |
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S. Baars, J.P. Viebahn, T.E. Mulder, C. Kuehn, F.W. Wubs and H.A. Dijkstra |
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Journal of Computational Physics, Vol. 336, No. 1, pp. 627–643, 2017
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J37
|
"A
meeting point of entropy and bifurcations in cross-diffusion herding" |
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A.
Jüngel, C. Kuehn and L.
Trussardi |
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European Journal of Applied Mathematics, Vol. 28, No. 2, pp. 317-356, 2017
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J36
|
"A
dynamical systems approach for the contact-line singularity in thin-film
flows" |
|
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F.B. Belgacem, M.V.
Gnann and C. Kuehn |
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Nonlinear Analysis A: Theory, Methods & Applications, Vol. 144, pp. 204-235, 2016
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J35
|
"A numerical framework to understand transitions in high-dimensional stochastic dynamical systems" |
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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 |
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Dynamics and Statistics of the Climate System, Vol. 1, No. 1, dzw003 (review paper), 2016 |
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J34 |
"Heterogeneous
population dynamics and scaling laws near epidemic outbreaks"
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| |
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A. Widder
and C. Kuehn |
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Mathematical Biosciences and Engineering, Vol. 13, No. 5, pp. 1093-1118, 2016
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J33 |
"Regularity
structures and renormalisation of FitzHugh-Nagumo SPDEs in three space
dimensions" |
|
| |
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N.
Berglund and C. Kuehn |
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| |
|
Electronic Journal of Probability, Vol. 21, No. 18,
pp. 1-48, 2016 [erratum]
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| |
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J32 |
"A
remark on geometric desingularization of a non-hyperbolic point using
hyperbolic space" |
|
| |
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C. Kuehn |
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| |
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Journal of Physics: Conference Series, Vol. 727, 012008, 2016
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J31 |
"Numerical
continuation and SPDE stability for the 2D cubic-quintic Allen-Cahn
equation"  |
|
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C. Kuehn |
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| |
|
SIAM/ASA Journal on Uncertainty Quantification, Vol.
3, No. 1, pp. 762-789, 2015 |
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J30 |
"Predictability
of critical transitions" |
|
| |
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X.
Zhang, C. Kuehn and S.
Hallerberg |
|
| |
|
Physical Review E, Vol. 92, 052905, 2015 |
|
| |
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J29 |
"Traveling
waves for bistable evolution equations with nonlocal-diffusion"
|
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| |
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F.
Achleitner and C. Kuehn |
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| |
|
Advances in Differential Equations, Vol. 20, No. 9-10,
pp. 887-936, 2015 |
|
| |
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J28 |
"Efficient
gluing of numerical continuation and a multiple solution method for
elliptic PDEs" |
|
| |
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C. Kuehn |
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| |
|
Applied Mathematics and Computation, Vol. 266, pp.
656-674, 2015 |
|
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J27 |
"Multiscale
geometry of the Olsen model and non-classical relaxation oscillations"
|
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| |
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C. Kuehn and P.
Szmolyan |
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| |
|
Journal of Nonlinear Science, Vol. 25, No. 3, pp. 583-629,
2015 |
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| |
J26 |
"Early-warning
signs for saddle-escape transitions in complex networks"
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| |
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C. Kuehn, G.
Zschaler and T.
Gross |
|
| |
|
Scientific Reports, Vol. 5, 13190, 2015 [download paper
+ correctly-formatted SI here] |
|
| |
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J25 |
"From
random Poincaré maps to stochastic mixed-mode-oscillation patterns"
|
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| |
|
N.
Berglund, B.
Gentz and C. Kuehn |
|
| |
|
Journal of Dynamics and Differential Equations, Vol.
27, No. 1, pp. 83-136, 2015 |
|
| |
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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 |
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| |
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| |
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 |
|
| |
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| |
J22 |
"On
bounded positive stationary solutions for a nonlocal Fisher-KPP equation"
|
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| |
|
F.
Achleitner and C. Kuehn |
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| |
|
Nonlinear Analysis A: Theory, Methods & Applications,
Vol. 112, pp. 15-29, 2015 |
|
| |
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| |
J21 |
"Early-warning
signs for pattern formation in stochastic partial differential equations"
|
|
| |
|
K. Gowda and C.
Kuehn |
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| |
|
Communications in Nonlinear Science and Numerical Simulation,
Vol. 22, No. 1, pp. 55-69, 2015 |
|
| |
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| |
J20 |
"Normal
hyperbolicity and unbounded critical manifolds" |
|
| |
|
C. Kuehn |
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| |
|
Nonlinearity, Vol. 27, No. 6, pp. 1351-1366, 2014 |
|
| |
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| |
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] |
|
| |
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| |
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 |
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| |
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| |
J17 |
"A
mathematical framework for critical transitions: normal forms, variance
and applications" |
|
| |
|
C. Kuehn |
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Journal of Nonlinear Science, Vol. 23, No. 3, pp. 457-510,
2013 |
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| |
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| |
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 |
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| |
|
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| |
J15 |
"Warning
signs for wave speed transitions of noisy Fisher-KPP invasion fronts"
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|
| |
|
C. Kuehn |
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| |
|
Theoretical Ecology, Vol. 6, No. 3, pp. 295-308, 2013 |
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| |
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| |
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 |
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| |
|
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| |
J13 |
"Deterministic
continuation of stochastic metastable equilibria via Lyapunov equations
and ellipsoids" |
|
| |
|
C. Kuehn |
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| |
|
SIAM Journal on Scientific Computing, Vol. 34, No.
3, pp. A1635-A1658, 2012 |
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| |
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| |
J12 |
"Mixed-mode
oscillations with multiple time scales" |
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| |
|
M. Desroches,
J. Guckenheimer,
B. Krauskopf,
C. Kuehn, H.
Osinga and M. Wechselberger |
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| |
|
SIAM Review, Vol. 54, No. 2, pp. 211-288, 2012 |
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| |
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| |
J11 |
"Time-scale
and noise optimality in self-organized critical adaptive networks"
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C. Kuehn |
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| |
|
Physical Review E, Vol. 85, No. 2, 026103, 2012 |
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| |
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| |
J10 |
"Hunting
French ducks in a noisy environment" |
|
| |
|
N.
Berglund, B.
Gentz and C. Kuehn |
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| |
|
Journal of Differential Equations, Vol.
252, No. 9, pp. 4786-4841, 2012
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| |
|
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| |
J9 |
"Scaling
effects and spatio-temporal multilevel dynamics in epileptic seizures"
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|
| |
|
C.
Meisel and C. Kuehn |
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| |
|
PLoS ONE, Vol. 7, No. 2, e30371, 2012 |
|
| |
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|
| |
J8 |
"On
decomposing mixed-mode oscillations and their return maps"
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|
| |
|
C. Kuehn |
|
| |
|
Chaos: An Interdisciplinary Journal of Nonlinear Science,
Vol. 21, No. 3, 033107, 2011 |
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| |
|
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|
| |
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 |
|
| |
|
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|
| |
J6 |
"Connecting
fast-slow systems and Conley index theory via transversality"
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|
| |
|
C. Kuehn |
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| |
|
Electronic Journal of Differential Equations, Vol.
2010, No. 106, pp. 1-20, 2010 |
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| |
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| |
J5 |
"Homoclinic
orbits of the FitzHugh-Nagumo equation: bifurcations in the full system''
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|
| |
|
J.
Guckenheimer and C. Kuehn |
|
| |
|
SIAM Journal on Applied Dynamical Systems, Vol. 9,
No. 1, pp. 138-153, 2010 |
|
| |
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|
| |
J4 |
"From
first Lyapunov coefficients to maximal canards" |
|
| |
|
C. Kuehn
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| |
|
International Journal of Bifurcation and Chaos, Vol.
20, No. 5, pp. 1467-1475, 2010 |
|
| |
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| |
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 |
|
| |
|
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|
| |
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 |
|
| |
|
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|
| |
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 |
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