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Korteweg-de Vries Institute for Mathematics Korteweg-de Vries Institute for Mathematics

Dr. M.R. (Maximilian) Engel

Faculty of Science
KDV
Photographer: Bastiaan Heus
Visiting address
  • Science Park 107
Postal address
  • Postbus 94248
    1090 GE Amsterdam
Contact details
Social media
  • Publications

    2024

    • Chemnitz, R., Engel, M., & Koltai, P. (2024). CONTINUOUS-TIME EXTENSIONS OF DISCRETE-TIME COCYCLES. Proceedings of the American Mathematical Society, Series B, 11, 23-35. https://doi.org/10.1090/bproc/209
    • Engel, M., & Gottwald, G. A. (2024). Canards in modified equations for Euler discretizations. In M. Engel, M. Engel, H. Jardón-Kojakhmetov, & C. Soresina (Eds.), Topics in Multiple Time Scale Dynamics - Workshop on Topics in Multiple Time Scale Dynamics, 2022 (pp. 15-28). (Contemporary Mathematics; Vol. 806). American Mathematical Society. https://doi.org/10.1090/conm/806/16148
    • Engel, M., & Kuehn, C. (2024). Geometric Analysis of a Truncated Galerkin Discretization of Fast-Slow PDEs with Transcritical Singularities. SIAM Journal on Applied Dynamical Systems, 23(4), 2853-2898. https://doi.org/10.1137/23M1572702
    • Engel, M., & Olicón-Méndez, G. (2024). Noise-induced instabilities in a stochastic Brusselator. In M. Engel, M. Engel, H. Jardón-Kojakhmetov, & C. Soresina (Eds.), Topics in Multiple Time Scale Dynamics - Workshop on Topics in Multiple Time Scale Dynamics, 2022 (pp. 29-47). (Contemporary Mathematics; Vol. 806). American Mathematical Society. https://doi.org/10.1090/conm/806/16149
    • Engel, M., Hummel, F., Kuehn, C., Popović, N., Ptashnyk, M., & Zacharis, T. (2024). Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation. Nonlinearity, 37(11), Article 115017. https://doi.org/10.1088/1361-6544/ad7fc2
    • Engel, M., Jardón-Kojakhmetov, H., & Soresina, C. (2024). Preface. Contemporary Mathematics, 806, vii-xiii.
    • Engel, M., Olicón-Méndez, G., Wehlitz, N., & Winkelmann, S. (in press). Synchronization and Random Attractors in Reaction Jump Processes. Journal of Dynamics and Differential Equations. https://doi.org/10.1007/s10884-023-10345-4

    2023

    • Blumenthal, A., Engel, M., & Neamţu, A. (2023). On the pitchfork bifurcation for the Chafee–Infante equation with additive noise. Probability Theory and Related Fields, 187(3-4), 603-627. https://doi.org/10.1007/s00440-023-01235-3
    • Breden, M., & Engel, M. (2023). COMPUTER-ASSISTED PROOF OF SHEAR-INDUCED CHAOS IN STOCHASTICALLY PERTURBED HOPF SYSTEMS. Annals of Applied Probability, 33(2), 1052-1094. https://doi.org/10.1214/22-AAP1841
    • Chemnitz, D., & Engel, M. (2023). Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise. Communications in Mathematical Physics, 402(2), 1807-1843. https://doi.org/10.1007/s00220-023-04764-z
    • Engel, M., & Piliouras, G. (2023). A stochastic variant of replicator dynamics in zero-sum games and its invariant measures. Physica D: Nonlinear Phenomena, 456, Article 133940. https://doi.org/10.1016/j.physd.2023.133940

    2022

    • Engel, M., Kuehn, C., & de Rijk, B. (2022). A traveling wave bifurcation analysis of turbulent pipe flow. Nonlinearity, 35(11), 5903-5937. https://doi.org/10.1088/1361-6544/ac9504
    • Engel, M., Kuehn, C., Petrera, M., & Suris, Y. (2022). Discretized Fast–Slow Systems with Canards in Two Dimensions. Journal of Nonlinear Science, 32(2), Article 19. https://doi.org/10.1007/s00332-021-09778-2
    • Kuehn, C., Berglund, N., Bick, C., Engel, M., Hurth, T., Iuorio, A., & Soresina, C. (2022). A general view on double limits in differential equations. Physica D: Nonlinear Phenomena, 431, Article 133105. https://doi.org/10.1016/j.physd.2021.133105
    • Viennet, A., Vercauteren, N., Engel, M., & Faranda, D. (2022). Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors. Chaos, 32(11), Article 113145. https://doi.org/10.1063/5.0093804

    2021

    • Engel, M., & Kuehn, C. (2021). A Random Dynamical Systems Perspective on Isochronicity for Stochastic Oscillations. Communications in Mathematical Physics, 386(3), 1603-1641. https://doi.org/10.1007/s00220-021-04077-z
    • Engel, M., Gkogkas, M. A., & Kuehn, C. (2021). Homogenization of Coupled Fast-Slow Systems via Intermediate Stochastic Regularization. Journal of Statistical Physics, 183(2), Article 25. https://doi.org/10.1007/s10955-021-02765-7
    • Engel, M., Hummel, F., & Kuehn, C. (2021). CONNECTING A DIRECT AND A GALERKIN APPROACH TO SLOW MANIFOLDS IN INFINITE DIMENSIONS. Proceedings of the American Mathematical Society, Series B, 8, 252-266. https://doi.org/10.1090/bproc/92

    2020

    • Degond, P., Engel, M., Liu, J. G., & Pego, R. L. (2020). A markov jump process modelling animal group size statistics. Communications in Mathematical Sciences, 18(1), 55-89. https://doi.org/10.4310/CMS.2020.v18.n1.a3
    • Engel, M., & Jardon-Kojakhmetov, H. (2020). Extended and symmetric loss of stability for canards in planar fast-slow maps. SIAM Journal on Applied Dynamical Systems, 19(4), 2530-2566. https://doi.org/10.1137/20M1313611

    2019

    • Arcidiacono, L., Engel, M., & Kuehn, C. (2019). Discretized fast–slow systems near pitchfork singularities. Journal of Difference Equations and Applications, 25(7), 1024-1051. https://doi.org/10.1080/10236198.2019.1647185
    • Engel, M., & Kuehn, C. (2019). Discretized fast-slow systems near transcritical singularities. Nonlinearity, 32(7), 2365-2391. https://doi.org/10.1088/1361-6544/ab15c1
    • Engel, M., Lamb, J. S. W., & Rasmussen, M. (2019). Bifurcation Analysis of a Stochastically Driven Limit Cycle. Communications in Mathematical Physics, 365(3), 935-942. https://doi.org/10.1007/s00220-019-03298-7
    • Engel, M., Lamb, J. S. W., & Rasmussen, M. (2019). Conditioned Lyapunov exponents for random dynamical systems. Transactions of the American Mathematical Society, 372(9), 6343-6370. https://doi.org/10.1090/tran/7803

    2018

    2017

    • Degond, P., & Engel, M. (2017). Numerical approximation of a coagulation-fragmentation model for animal group size statistics. Networks and Heterogeneous Media, 12(2), 217-243. https://doi.org/10.3934/nhm.2017009
    This list of publications is extracted from the UvA-Current Research Information System. Questions? Ask the library or the Pure staff of your faculty / institute. Log in to Pure to edit your publications. Log in to Personal Page Publication Selection tool to manage the visibility of your publications on this list.
  • Ancillary activities
    • Freie Universität Berlin
      Supervision of research projects
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