Maximilian Engel

@fu-berlin.de

Head of Junior Research Group, Department of Mathematics and Computer Science
Free University of Berlin

Maximilian Engel


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https://researchid.co/maximilianengel

RESEARCH INTERESTS

Dynamical Systems and Ergodic Theory, Probability theory, Analysis
412

Scholar Citations

12

Scholar h-index

16

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Separation of time scales in weakly interacting diffusions
    ZP Adams, M Engel, RS Gvalani
    Archive for Rational Mechanics and Analysis 250 (3), 33 , 2026
    2026
    Citations: 1
  • Noise-induced enhancement of regime lifetimes--A data-driven approach using deterministic trajectories
    H Schoeller, R Chemnitz, P Koltai, M Engel, S Pfahl
    arXiv preprint arXiv:2604.27991 , 2026
    2026
  • Regime persistence through noise-A data-driven approach using deterministic trajectories
    H Schoeller, R Chemnitz, P Koltai, M Engel, S Pfahl
    EGU26 , 2026
    2026
  • Random quadratic form on a sphere: Synchronization by common noise
    M Engel, A Shalova
    arXiv preprint arXiv:2603.06187 , 2026
    2026
    Citations: 3
  • Unfolding the geometric structure and multiple timescales of the urea-urease pH oscillator
    AV Straube, GO Méndez, S Winkelmann, F Höfling, M Engel
    arXiv preprint arXiv:2508.07275 , 2025
    2025
  • The conditioned Lyapunov spectrum for random dynamical systems
    MM Castro, D Chemnitz, H Chu, M Engel, JSW Lamb, M Rasmussen
    Annales de l'Institut Henri Poincare (B) Probabilites et statistiques 61 (3 … , 2025
    2025
    Citations: 8
  • A Dynamical Systems Perspective on the Analysis of Neural Networks
    D Chemnitz, M Engel, C Kuehn, SV Kuntz
    arXiv preprint arXiv:2507.05164 , 2025
    2025
    Citations: 2
  • Dynamic link switching induces stable synchronized states in sparse networks
    MC Eser, ES Medeiros, M Riza, M Engel
    arXiv preprint arXiv:2507.08007 , 2025
    2025
    Citations: 1
  • Detecting random bifurcations via rigorous enclosures of large deviations rate functions
    A Blessing, A Blumenthal, M Breden, M Engel
    Physica D: Nonlinear Phenomena 476, 134617 , 2025
    2025
    Citations: 10
  • Synchronization and random attractors in reaction jump processes
    M Engel, G Olicón-Méndez, N Wehlitz, S Winkelmann
    Journal of Dynamics and Differential Equations 37 (2), 1207-1242 , 2025
    2025
    Citations: 9
  • Assessing Lagrangian coherence in atmospheric blocking
    H Schoeller, R Chemnitz, P Koltai, M Engel, S Pfahl
    Nonlinear Processes in Geophysics 32 (1), 51-73 , 2025
    2025
    Citations: 3
  • Characterizing dynamical stability of stochastic gradient descent in overparameterized learning
    D Chemnitz, M Engel
    Journal of Machine Learning Research 26 (134), 1-46 , 2025
    2025
    Citations: 8
  • Random attractors on countable state spaces
    R Chemnitz, M Engel, G Olicón-Méndez
    Electronic Journal of Probability 30, 1-25 , 2025
    2025
    Citations: 1
  • Geometric analysis of a truncated galerkin discretization of fast-slow PDEs with transcritical singularities
    M Engel, C Kuehn
    SIAM Journal on Applied Dynamical Systems 23 (4), 2853-2898 , 2024
    2024
    Citations: 19
  • Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation
    M Engel, F Hummel, C Kuehn, N Popović, M Ptashnyk, T Zacharis
    Nonlinearity 37 (11), 115017 , 2024
    2024
    Citations: 13
  • Strategic control for a Boltzmann like decision-making model
    LG Venegas-Pineda, H JardÃģn-Kojakhmetov, M Engel, J Heitzig, ...
    arXiv preprint arXiv:2405.10915 , 2024
    2024
  • Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups
    R Chemnitz, M Engel, P Koltai
    arXiv preprint arXiv:2403.19274 , 2024
    2024
  • Nonlinear effects within invariance principles
    M Engel, PK Friz, T Orenshtein
    arXiv preprint arXiv:2402.13748 , 2024
    2024
    Citations: 2
  • Continuous-time extensions of discrete-time cocycles
    R Chemnitz, M Engel, P Koltai
    Proceedings of the American Mathematical Society, Series B 11 (03), 23-35 , 2024
    2024
  • A Singular Perturbation Analysis for the Brusselator
    G Olicón Méndez, M Engel
    Available at SSRN 4931984 , 2023
    2023
    Citations: 1

MOST CITED SCHOLAR PUBLICATIONS

  • Hopf bifurcation with additive noise
    TS Doan, M Engel, JSW Lamb, M Rasmussen
    Nonlinearity 31 (10), 4567-4601 , 2018
    2018
    Citations: 54
  • Bifurcation analysis of a stochastically driven limit cycle
    M Engel, JSW Lamb, M Rasmussen
    Communications in Mathematical Physics 365 (3), 935-942 , 2019
    2019
    Citations: 33
  • 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
    2022
    Citations: 28
  • On the pitchfork bifurcation for the Chafee-Infante equation with additive noise
    A Blumenthal, M Engel, A Neamtu
    Probability Theory and Related Fields 187, 603-627 , 2023
    2023
    Citations: 25
  • Conditioned Lyapunov exponents for random dynamical systems
    M Engel, J Lamb, M Rasmussen
    Transactions of the American Mathematical Society 372 (9), 6343-6370 , 2019
    2019
    Citations: 24
  • A random dynamical systems perspective on isochronicity for stochastic oscillations
    M Engel, C Kuehn
    Communications in Mathematical Physics 386 (3), 1603-1641 , 2021
    2021
    Citations: 23
  • Discretized fast-slow systems near transcritical singularities
    M Engel, C Kuehn
    Nonlinearity 32 (7), 2365-2391 , 2019
    2019
    Citations: 20
  • Geometric analysis of a truncated galerkin discretization of fast-slow PDEs with transcritical singularities
    M Engel, C Kuehn
    SIAM Journal on Applied Dynamical Systems 23 (4), 2853-2898 , 2024
    2024
    Citations: 19
  • 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
    2023
    Citations: 17
  • Positive Lyapunov exponent in the Hopf normal form with additive noise
    D Chemnitz, M Engel
    Communications in Mathematical Physics 402 (2), 1807-1843 , 2023
    2023
    Citations: 15
  • 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
    2021
    Citations: 14
  • Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation
    M Engel, F Hummel, C Kuehn, N Popović, M Ptashnyk, T Zacharis
    Nonlinearity 37 (11), 115017 , 2024
    2024
    Citations: 13
  • 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
    2022
    Citations: 12
  • Homogenization of coupled fast-slow systems via intermediate stochastic regularization
    M Engel, MA Gkogkas, C Kuehn
    Journal of Statistical Physics 183 (2), 25 , 2021
    2021
    Citations: 11
  • 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
    2020
    Citations: 11
  • Detecting random bifurcations via rigorous enclosures of large deviations rate functions
    A Blessing, A Blumenthal, M Breden, M Engel
    Physica D: Nonlinear Phenomena 476, 134617 , 2025
    2025
    Citations: 10
  • Synchronization and random attractors in reaction jump processes
    M Engel, G Olicón-Méndez, N Wehlitz, S Winkelmann
    Journal of Dynamics and Differential Equations 37 (2), 1207-1242 , 2025
    2025
    Citations: 9
  • Discretized fast-slow systems near pitchfork singularities
    L Arcidiacono, M Engel, C Kuehn
    Journal of Difference Equations and Applications , 2019
    2019
    Citations: 9
  • The conditioned Lyapunov spectrum for random dynamical systems
    MM Castro, D Chemnitz, H Chu, M Engel, JSW Lamb, M Rasmussen
    Annales de l'Institut Henri Poincare (B) Probabilites et statistiques 61 (3 … , 2025
    2025
    Citations: 8
  • Characterizing dynamical stability of stochastic gradient descent in overparameterized learning
    D Chemnitz, M Engel
    Journal of Machine Learning Research 26 (134), 1-46 , 2025
    2025
    Citations: 8