Christian Kuehn, Ph.D. - Publications

Affiliations: 
2010 Cornell University, Ithaca, NY, United States 
Area:
Dynamical systems

66 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Mulas R, Kuehn C, Jost J. Coupled dynamics on hypergraphs: Master stability of steady states and synchronization. Physical Review. E. 101: 062313. PMID 32688515 DOI: 10.1103/Physreve.101.062313  0.346
2020 Horstmeyer L, Kuehn C. Adaptive voter model on simplicial complexes. Physical Review. E. 101: 022305. PMID 32168556 DOI: 10.1103/Physreve.101.022305  0.327
2020 Breden M, Kuehn C. Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos Siam Journal On Applied Dynamical Systems. 19: 577-618. DOI: 10.1137/18M1235818  0.382
2020 Kuehn C. Network Dynamics on Graphops New Journal of Physics. 22: 53030. DOI: 10.1088/1367-2630/Ab83D4  0.403
2020 Kuehn C, Neamţu A. Pathwise mild solutions for quasilinear stochastic partial differential equations Journal of Differential Equations. 269: 2185-2227. DOI: 10.1016/J.Jde.2020.01.032  0.415
2020 Eichinger K, Kuehn C, Neamţu A. Sample Paths Estimates for Stochastic Fast-Slow Systems Driven by Fractional Brownian Motion Journal of Statistical Physics. 179: 1222-1266. DOI: 10.1007/S10955-020-02485-4  0.334
2020 Kuehn C, Kürschner P. Combined error estimates for local fluctuations of SPDEs Advances in Computational Mathematics. 46. DOI: 10.1007/S10444-020-09766-2  0.347
2020 Kojakhmetov HJ, Kuehn C. On Fast–Slow Consensus Networks with a Dynamic Weight Journal of Nonlinear Science. 1-50. DOI: 10.1007/S00332-020-09634-9  0.32
2020 Kuehn C, Neamţu A, Pein A. Random attractors for stochastic partly dissipative systems Nodea-Nonlinear Differential Equations and Applications. 27. DOI: 10.1007/S00030-020-00638-8  0.329
2019 Kuehn C, Tölle JM. A gradient flow formulation for the stochastic Amari neural field model. Journal of Mathematical Biology. PMID 31214776 DOI: 10.1007/S00285-019-01393-W  0.373
2019 Kuehn C. Travelling Waves in Monostable and Bistable Stochastic Partial Differential Equations Jahresbericht Der Deutschen Mathematiker-Vereinigung. 122: 73-107. DOI: 10.1365/S13291-019-00206-9  0.364
2019 Berglund N, Kuehn C. Corrigendum to “Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions” Electronic Journal of Probability. 24: 113. DOI: 10.1214/19-Ejp359  0.338
2019 Hurth T, Kuehn C. Random switching near bifurcations Stochastics and Dynamics. 20: 2050008. DOI: 10.1142/S0219493720500082  0.336
2019 Engel M, Kuehn C. Discretized fast-slow systems near transcritical singularities Nonlinearity. 32: 2365-2391. DOI: 10.1088/1361-6544/Ab15C1  0.379
2019 Kuehn C, Münch C. Duck Traps: Two-dimensional Critical Manifolds in Planar Systems Dynamical Systems-An International Journal. 34: 584-612. DOI: 10.1080/14689367.2019.1575337  0.349
2019 Arcidiacono L, Engel M, Kuehn C. Discretized Fast-Slow Systems near Pitchfork Singularities Journal of Difference Equations and Applications. 25: 1024-1051. DOI: 10.1080/10236198.2019.1647185  0.434
2019 Böhle T, Kuehn C. Mathematical analysis of nonlocal PDEs for network generation Mathematical Modelling of Natural Phenomena. 14: 506. DOI: 10.1051/Mmnp/2019057  0.404
2019 Kuehn C. Multiscale dynamics of an adaptive catalytic network Mathematical Modelling of Natural Phenomena. 14: 402. DOI: 10.1051/Mmnp/2019015  0.41
2019 Gnann MV, Kuehn C, Pein A. Towards sample path estimates for fast–slow stochastic partial differential equations European Journal of Applied Mathematics. 30: 1004-1024. DOI: 10.1017/S095679251800061X  0.383
2019 Breden M, Kuehn C. Rigorous validation of stochastic transition paths Journal De MathéMatiques Pures Et AppliquéEs. 131: 88-129. DOI: 10.1016/J.Matpur.2019.04.012  0.409
2019 Kuehn C, Throm S. Smoluchowski’s discrete coagulation equation with forcing Nodea-Nonlinear Differential Equations and Applications. 26: 17. DOI: 10.1007/S00030-019-0563-9  0.373
2019 Hamzi B, Kuehn C, Mohamed S. A note on kernel methods for multiscale systems with critical transitions Mathematical Methods in the Applied Sciences. 42: 907-917. DOI: 10.1002/Mma.5394  0.418
2018 Sadhu S, Kuehn C. Stochastic mixed-mode oscillations in a three-species predator-prey model. Chaos (Woodbury, N.Y.). 28: 033606. PMID 29604654 DOI: 10.1063/1.4994830  0.389
2018 Romano F, Kuehn C. Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term International Journal of Bifurcation and Chaos. 28: 1850103. DOI: 10.1142/S0218127418501031  0.302
2018 Kuehn C, Throm S. Validity of amplitude equations for nonlocal nonlinearities Journal of Mathematical Physics. 59: 071510. DOI: 10.1063/1.4993112  0.407
2018 KUEHN C, ROMANO F. Scaling laws and warning signs for bifurcations of SPDEs European Journal of Applied Mathematics. 30: 853-868. DOI: 10.1017/S0956792518000438  0.434
2018 Kuehn C, Malavolta G, Rasmussen M. Early-warning signals for bifurcations in random dynamical systems with bounded noise Journal of Mathematical Analysis and Applications. 464: 58-77. DOI: 10.1016/J.Jmaa.2018.03.066  0.421
2017 Kuehn C. Uncertainty transformation via Hopf bifurcation in fast-slow systems. Proceedings. Mathematical, Physical, and Engineering Sciences. 473: 20160346. PMID 28484318 DOI: 10.1098/Rspa.2016.0346  0.385
2017 Kuehn C. Quenched noise and nonlinear oscillations in bistable multiscale systems Epl (Europhysics Letters). 120: 10001. DOI: 10.1209/0295-5075/120/10001  0.337
2017 Kuehn C, Münch C. Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems Siam Journal On Applied Dynamical Systems. 16: 1650-1685. DOI: 10.1137/17M1110584  0.394
2017 Jüngel A, Kuehn C, Trussardi L. A Meeting Point Of Entropy And Bifurcations In Cross-Diffusion Herding European Journal of Applied Mathematics. 28: 317-356. DOI: 10.1017/S0956792516000346  0.354
2017 Baars S, Viebahn JP, Mulder TE, Kuehn C, Wubs FW, Dijkstra HA. Continuation of probability density functions using a generalized Lyapunov approach Journal of Computational Physics. 336: 627-643. DOI: 10.1016/J.Jcp.2017.02.021  0.435
2017 Berglund N, Kuehn C. Model Spaces of Regularity Structures for Space-Fractional SPDEs Journal of Statistical Physics. 168: 331-368. DOI: 10.1007/S10955-017-1801-3  0.373
2016 Widder A, Kuehn C. Heterogeneous population dynamics and scaling laws near epidemic outbreaks. Mathematical Biosciences and Engineering : Mbe. 13: 1093-1118. PMID 27775399 DOI: 10.3934/Mbe.2016032  0.38
2016 Berglund N, Kuehn C. Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions Electronic Journal of Probability. 21: 1-48. DOI: 10.1214/16-Ejp4371  0.371
2016 Dijkstra H, Tantet A, Viebahn J, Mulder E, Hebbink M, Castellana D, Pol Hvd, Frank J, Baars S, Wubs F, Chekroun M, Kuehn C. A numerical framework to understand transitions in high-dimensional stochastic dynamical systems Dynamics and Statistics of the Climate System. 1. DOI: 10.1093/Climsys/Dzw003  0.421
2016 Kuehn C. A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space Arxiv: Classical Analysis and Odes. 727: 12008. DOI: 10.1088/1742-6596/727/1/012008  0.379
2016 Belgacem FB, Gnann MV, Kuehn C. A dynamical systems approach for the contact-line singularity in thin-film flows Nonlinear Analysis-Theory Methods & Applications. 144: 204-235. DOI: 10.1016/J.Na.2016.06.010  0.342
2015 Zhang X, Kuehn C, Hallerberg S. Predictability of critical transitions. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 052905. PMID 26651760 DOI: 10.1103/Physreve.92.052905  0.318
2015 Kuehn C, Zschaler G, Gross T. Early warning signs for saddle-escape transitions in complex networks. Scientific Reports. 5: 13190. PMID 26294271 DOI: 10.1038/Srep13190  0.378
2015 Meisel C, Klaus A, Kuehn C, Plenz D. Critical slowing down governs the transition to neuron spiking. Plos Computational Biology. 11: e1004097. PMID 25706912 DOI: 10.1371/Journal.Pcbi.1004097  0.357
2015 Kuehn C. Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation Siam/Asa Journal On Uncertainty Quantification. 3: 762-789. DOI: 10.1137/140993685  0.425
2015 Gowda K, Kuehn C. Early-warning signs for pattern-formation in stochastic partial differential equations Communications in Nonlinear Science and Numerical Simulation. 22: 55-69. DOI: 10.1016/J.Cnsns.2014.09.019  0.47
2015 Kuehn C. Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs Applied Mathematics and Computation. 266: 656-674. DOI: 10.1016/J.Amc.2015.05.120  0.438
2015 Berglund N, Gentz B, Kuehn C. From Random Poincaré Maps to Stochastic Mixed-Mode-Oscillation Patterns Journal of Dynamics and Differential Equations. 27: 83-136. DOI: 10.1007/S10884-014-9419-5  0.371
2015 Kuehn C, Szmolyan P. Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations Journal of Nonlinear Science. 25: 583-629. DOI: 10.1007/S00332-015-9235-Z  0.421
2014 Kuehn C, Riedler MG. Large deviations for nonlocal stochastic neural fields. Journal of Mathematical Neuroscience. 4: 1. PMID 24742297 DOI: 10.1186/2190-8567-4-1  0.393
2014 Kuehn C, Martens EA, Romero DM. Critical transitions in social network activity Journal of Complex Networks. 2: 141-152. DOI: 10.1093/Comnet/Cnt022  0.352
2014 Kuehn C. Normal hyperbolicity and unbounded critical manifolds Nonlinearity. 27: 1351-1366. DOI: 10.1088/0951-7715/27/6/1351  0.391
2014 Achleitner F, Kuehn C. On bounded positive stationary solutions for a nonlocal Fisher-KPP equation Nonlinear Analysis, Theory, Methods and Applications. 112: 15-29. DOI: 10.1016/J.Na.2014.09.004  0.389
2013 Kuehn C, Gross T. Nonlocal generalized models of predator-prey systems Discrete and Continuous Dynamical Systems - Series B. 18: 693-720. DOI: 10.3934/Dcdsb.2013.18.693  0.481
2013 Kuehn C, Siegmund S, Gross T. Dynamical analysis of evolution equations in generalized models Ima Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 78: 1051-1077. DOI: 10.1093/Imamat/Hxs008  0.424
2013 Kuehn C. Warning signs for wave speed transitions of noisy Fisher-KPP invasion fronts Theoretical Ecology. 6: 295-308. DOI: 10.1007/S12080-013-0189-1  0.31
2013 Kuehn C. A mathematical framework for critical transitions: Normal forms, variance and applications Journal of Nonlinear Science. 23: 457-510. DOI: 10.1007/S00332-012-9158-X  0.399
2012 Kuehn C. Time-scale and noise optimality in self-organized critical adaptive networks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 026103. PMID 22463275 DOI: 10.1103/Physreve.85.026103  0.352
2012 Meisel C, Kuehn C. Scaling effects and spatio-temporal multilevel dynamics in epileptic seizures. Plos One. 7: e30371. PMID 22363431 DOI: 10.1371/Journal.Pone.0030371  0.3
2012 Kuehn C. Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids Siam Journal On Scientific Computing. 34. DOI: 10.1137/110839874  0.438
2012 Desroches M, Guckenheimer J, Krauskop B, Kuehn C, Osinga HM, Wechselberger M. Mixed-mode oscillations with multiple time scales Siam Review. 54: 211-288. DOI: 10.1137/100791233  0.605
2012 Berglund N, Gentz B, Kuehn C. Hunting French ducks in a noisy environment Journal of Differential Equations. 252: 4786-4841. DOI: 10.1016/J.Jde.2012.01.015  0.352
2011 Kuehn C. On decomposing mixed-mode oscillations and their return maps. Chaos (Woodbury, N.Y.). 21: 033107. PMID 21974642 DOI: 10.1063/1.3615231  0.402
2011 Kuehn C. A mathematical framework for critical transitions: Bifurcations, fastslow systems and stochastic dynamics Physica D: Nonlinear Phenomena. 240: 1020-1035. DOI: 10.1016/J.Physd.2011.02.012  0.422
2010 Kuehn C. From first lyapunov coefficients to maximal canards International Journal of Bifurcation and Chaos. 20: 1467-1475. DOI: 10.1142/S0218127410026617  0.4
2010 Guckenheimer J, Kuehn C. Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System Siam Journal On Applied Dynamical Systems. 9: 138-153. DOI: 10.1137/090758404  0.623
2009 Guckenheimer J, Kuehn C. Homoclinic orbits of the fitzhugh-nagumo equation: The singular-limit Discrete and Continuous Dynamical Systems - Series S. 2: 851-872. DOI: 10.3934/Dcdss.2009.2.851  0.634
2009 Guckenheimer J, Kuehn C. Computing slow manifolds of saddle type* Siam Journal On Applied Dynamical Systems. 8: 854-879. DOI: 10.1137/080741999  0.604
2009 Kuehn C. Scaling of saddle-node bifurcations: Degeneracies and rapid quantitative changes Journal of Physics a: Mathematical and Theoretical. 42. DOI: 10.1088/1751-8113/42/4/045101  0.325
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