Hopf bifurcation with additive noise TS Doan, M Engel, JSW Lamb, M Rasmussen Nonlinearity 31 (10), 4567, 2018 | 37 | 2018 |
Bifurcation analysis of a stochastically driven limit cycle M Engel, JSW Lamb, M Rasmussen Communications in Mathematical Physics 365, 935-942, 2019 | 27 | 2019 |
A general view on double limits in differential equations C Kuehn, N Berglund, C Bick, M Engel, T Hurth, A Iuorio, C Soresina Physica D: Nonlinear Phenomena 431, 133105, 2022 | 18 | 2022 |
A random dynamical systems perspective on isochronicity for stochastic oscillations M Engel, C Kuehn Communications in Mathematical Physics 386 (3), 1603-1641, 2021 | 18 | 2021 |
Conditioned Lyapunov exponents for random dynamical systems M Engel, J Lamb, M Rasmussen Transactions of the American Mathematical Society 372 (9), 6343-6370, 2019 | 18 | 2019 |
Discretized fast-slow systems near transcritical singularities M Engel, C Kuehn Nonlinearity 32 (7), 2365, 2019 | 16 | 2019 |
Blow-up analysis of fast-slow PDEs with loss of hyperbolicity M Engel, C Kuehn arXiv preprint arXiv:2007.09973, 2020 | 13 | 2020 |
On the pitchfork bifurcation for the Chafee–Infante equation with additive noise A Blumenthal, M Engel, A Neamţu Probability Theory and Related Fields 187 (3), 603-627, 2023 | 12 | 2023 |
Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems M Breden, M Engel The Annals of Applied Probability 33 (2), 1252-1294, 2023 | 9 | 2023 |
Homogenization of coupled fast-slow systems via intermediate stochastic regularization M Engel, MA Gkogkas, C Kuehn Journal of Statistical Physics 183 (2), 25, 2021 | 9 | 2021 |
Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions M Engel, F Hummel, C Kuehn Proceedings of the American Mathematical Society, Series B 8 (21), 252-266, 2021 | 9 | 2021 |
Discretized fast–slow systems with canards in two dimensions M Engel, C Kuehn, M Petrera, Y Suris Journal of Nonlinear Science 32 (2), 19, 2022 | 7 | 2022 |
Extended and symmetric loss of stability for canards in planar fast-slow maps M Engel, H Jardón-Kojakhmetov SIAM Journal on Applied Dynamical Systems 19 (4), 2530-2566, 2020 | 7 | 2020 |
Discretized fast-slow systems near pitchfork singularities L Arcidiacono, M Engel, C Kuehn Journal of Difference Equations and Applications, 2019 | 7 | 2019 |
Geometric analysis of fast-slow PDEs with fold singularities M Engel, F Hummel, C Kuehn, N Popović, M Ptashnyk, T Zacharis arXiv preprint arXiv:2207.06134, 2022 | 6 | 2022 |
Positive Lyapunov exponent in the Hopf normal form with additive noise D Chemnitz, M Engel Communications in Mathematical Physics 402 (2), 1807-1843, 2023 | 4 | 2023 |
The Lyapunov spectrum for conditioned random dynamical systems MM Castro, D Chemnitz, H Chu, M Engel, JSW Lamb, M Rasmussen arXiv preprint arXiv:2204.04129, 2022 | 4 | 2022 |
Local phenomena in random dynamical systems: bifurcations, synchronisation, and quasi-stationary dynamics M Engel Imperial College London, 2018 | 4 | 2018 |
Numerical approximation of a coagulation-fragmentation model for animal group size statistics P Degond, M Engel Networks and Heterogeneous Media 12 (2), 2017 | 3 | 2017 |
Synchronization and random attractors in reaction jump processes M Engel, G Olicón-Méndez, N Wehlitz, S Winkelmann Journal of Dynamics and Differential Equations, 1-36, 2024 | 2 | 2024 |