Maximilian Engel

@fu-berlin.de

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



                 

https://researchid.co/maximilianengel

RESEARCH INTERESTS

Dynamical Systems and Ergodic Theory, Probability theory, Analysis

222

Scholar Citations

9

Scholar h-index

8

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Extracting coherent sets in aperiodically driven flows from generators of Mather semigroups
    R Chemnitz, M Engel, P Koltai
    arXiv preprint arXiv:2403.19274 2024

  • Synchronization and Random Attractors in Reaction Jump Processes
    M Engel, G Olicn-Mndez, N Wehlitz, S Winkelmann
    Journal of Dynamics and Differential Equations, 1-36 2024

  • Nonlinear effects within invariance principles
    M Engel, PK Friz, T Orenshtein
    arXiv preprint arXiv:2402.13748 2024

  • Lagrangian Coherence in Atmospheric Blocking
    H Schoeller, R Chemnitz, S Pfahl, P Koltai, M Engel
    DKT-13 2024

  • Continuous-time extensions of discrete-time cocycles
    R Chemnitz, M Engel, P Koltai
    Proceedings of the American Mathematical Society, Series B 11, 23-35 2024

  • A stochastic variant of replicator dynamics in zero-sum games and its invariant measures
    M Engel, G Piliouras
    Physica D: Nonlinear Phenomena 456, 133940 2023

  • 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

  • A singular perturbation analysis for the Brusselator
    M Engel, G Olicn-Mndez
    arXiv preprint arXiv:2311.00575 2023

  • Positive Lyapunov exponent in the Hopf normal form with additive noise
    D Chemnitz, M Engel
    Communications in Mathematical Physics 402 (2), 1807-1843 2023

  • Noise-induced instabilities in a stochastic Brusselator
    M Engel, G Olicn-Mndez
    arXiv preprint arXiv:2305.18021 2023

  • Canards in modified equations for Euler discretizations
    M Engel, GA Gottwald
    arXiv preprint arXiv:2304.08797 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

  • Topics in Multiple Time Scale Dynamics
    M Engel, H Jardn-Kojakhmetov, B Sandstede, C Soresina
    2022

  • Guidelines for data-driven approaches to study transitions in multiscale systems: The case of Lyapunov vectors
    A Viennet, N Vercauteren, M Engel, D Faranda
    Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (11) 2022

  • A traveling wave bifurcation analysis of turbulent pipe flow
    M Engel, C Kuehn, B de Rijk
    Nonlinearity 35 (11), 5903 2022

  • 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

  • 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

  • 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

  • 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

  • Random dynamical systems Lecture III: Lyapunov exponents and bifurcations
    M Engel
    2021

MOST CITED SCHOLAR PUBLICATIONS

  • Hopf bifurcation with additive noise
    TS Doan, M Engel, JSW Lamb, M Rasmussen
    Nonlinearity 31 (10), 4567 2018
    Citations: 36

  • Bifurcation analysis of a stochastically driven limit cycle
    M Engel, JSW Lamb, M Rasmussen
    Communications in Mathematical Physics 365, 935-942 2019
    Citations: 26

  • A random dynamical systems perspective on isochronicity for stochastic oscillations
    M Engel, C Kuehn
    Communications in Mathematical Physics 386 (3), 1603-1641 2021
    Citations: 18

  • 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
    Citations: 16

  • Discretized fast-slow systems near transcritical singularities
    M Engel, C Kuehn
    Nonlinearity 32 (7), 2365 2019
    Citations: 16

  • Conditioned Lyapunov exponents for random dynamical systems
    M Engel, J Lamb, M Rasmussen
    Transactions of the American Mathematical Society 372 (9), 6343-6370 2019
    Citations: 16

  • Blow-up analysis of fast-slow PDEs with loss of hyperbolicity
    M Engel, C Kuehn
    arXiv preprint arXiv:2007.09973 2020
    Citations: 12

  • 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
    Citations: 11

  • 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
    Citations: 9

  • Homogenization of coupled fast-slow systems via intermediate stochastic regularization
    M Engel, MA Gkogkas, C Kuehn
    Journal of Statistical Physics 183 (2), 25 2021
    Citations: 9

  • 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
    Citations: 8

  • 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
    Citations: 7

  • Extended and symmetric loss of stability for canards in planar fast-slow maps
    M Engel, H Jardn-Kojakhmetov
    SIAM Journal on Applied Dynamical Systems 19 (4), 2530-2566 2020
    Citations: 7

  • Discretized fast-slow systems near pitchfork singularities
    L Arcidiacono, M Engel, C Kuehn
    Journal of Difference Equations and Applications 2019
    Citations: 7

  • 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
    Citations: 5

  • Positive Lyapunov exponent in the Hopf normal form with additive noise
    D Chemnitz, M Engel
    Communications in Mathematical Physics 402 (2), 1807-1843 2023
    Citations: 4

  • Local phenomena in random dynamical systems: bifurcations, synchronisation, and quasi-stationary dynamics
    M Engel
    Imperial College London 2018
    Citations: 4

  • 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
    Citations: 3

  • Numerical approximation of a coagulation-fragmentation model for animal group size statistics
    P Degond, M Engel
    Networks and Heterogeneous Media 12 (2) 2017
    Citations: 3

  • Synchronization and Random Attractors in Reaction Jump Processes
    M Engel, G Olicn-Mndez, N Wehlitz, S Winkelmann
    Journal of Dynamics and Differential Equations, 1-36 2024
    Citations: 1