Marius Yamakou
Prof. Dr. Marius Yamakou
Assistance
Andrea Hoppe
91058 Erlangen
- Phone number: +49 9131 85-67099
- Email: andrea.hoppe@fau.de
- Website: https://www.datascience.nat.fau.eu/andrea-hoppe
Office hours: By appointment via e-mail or on Fridays, 11:30 am – 12:30 pm, Room: 02.343
- 04/2021 – present: Researcher and Lecturer, Department of Data Science, University of Erlangen-Nürnberg
- 10/2024 – 03/2025: Interim Professor, Department of Data Science, University of Erlangen-Nürnberg
- 11/2019 – 03/2021: Postdoc, Department of Mathematics, University of Erlangen-Nürnberg, Germany
- 02/2018 – 10/2019: Postdoc, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- 11/2019 – present: Habilitation Candidate in Applied Mathematics, University of Erlangen-Nürnberg
- 10/2014 – 02/2018: Ph.D. in Mathematics, Max Planck Institute for Mathematics in the Sciences, Leipzig
- 24/03/2025 – 05/04/2025: INRIA Research Centre, University of Montpellier, France
- 18/08/2024 – 27/08/2024: Centre for Mathematical Sciences, Lund University, Sweden
- 28/05/2023 – 03/06/2023: Centre for Mathematical Sciences, Lund University, Sweden
- 12/02/2023 – 23/02/2023: Perimeter Institute for Theoretical Physics, Waterloo, Canada
- 05/12/2022 – 18/12/2022: Department of Mathematics, Brandeis University, Massachusetts, USA
- 01/10/2022 – 30/10/2022: INRIA Research Centre, Université Côte d’Azur, France
- 01/02/2019 – 30/04/2019: Department of Applied Mathematics, Technical University of Denmark, Denmark
- 10/2014 – 02/2018: IMPRS Scholarship, Max Planck Institute for Mathematics in the Sciences, Leipzig
- 04/2021 – 03/2023: DFG Research Grant as Principal Investigator (Project No. 456989199), ∼ € 200K
- 04/2020 – present: Departments of Mathematics and Data Science, University of Erlangen-Nürnberg
- Lecture and exercise classes: Theory of Neural Dynamics and Applications to Machine Learning, SS 25
- Lecture: Selected Topics in Mathematics of Learning, WS 24/25
- Lecture and exercise classes: Dynamical System Theory for Data Scientists, WS 24/25
- Lecture and exercise classes: Theory of Neural Dynamics and Applications to Machine Learning, SS 24
- Lecture and exercise classes: Dynamical System Theory for Data Scientists, WS 23/24
- Lecture and exercise classes: Theory of Neural Dynamics and Applications to Machine Learning, SS 23
- Exercise classes: Mathematics for Engineers: Stochastics, SS 20
- 02/2019 – 04/2019: Department of Applied Mathematics, Technical University of Denmark
- Lecture and exercise classes: Dynamical Systems 2 (M.Sc. course)
- 10/2016 – 10/2017: Max Planck Institute for Mathematics in the Sciences, Leipzig
- Seminar lecture series: 5 lectures on Stochastic Neural Dynamics
- 10/2012 – 06/2013: Department of Physics, University of Buea
- Exercise classes: PHY 202: Newtonian Mechanics
- Exercise classes: PHY 207: Mathematical Methods for Physics 1
- Exercise classes: PHY 301: Analytical Mechanics
- Exercise classes: PHY 306: Mathematical Methods for Physics 2
I’m happy to discuss potential bachelor’s and publishable master’s thesis topics at the intersection of dynamical systems theory, mathematical/computational neuroscience, machine learning, and data science.
- 2025 – present: Dua Kasvi, Predicting bursting dynamics in Morris-Lecar neurons with reservoir computing
- 2025 – present: Alina Schlabritz, Optimization of noise-induced resonances on simplicial complexes: Application in computational neuroscience
- 2025 – present: Divyesh Savaliya, Self-induced stochastic resonance problem: A physics-informed neural network approach
- 2025 – present: Behnam Babaeian, Chaotic dynamics, synchronization, and Hamiltonian analysis of neurons using physics-informed machine learning
- 11/2024 – present: Pooya Khalaji, Chaos-induced inhibition of spiking activity in adaptive neural networks: Numerical simulations and data analysis
- 03/2024 – 08/2024: Jay Asodariya, Motion estimation and magnification using swin V2 image transformer and deep convolutional neural networks
- 10/2023 – 05/2024: Jan Kobiolka, Reduced-order adaptive synchronization in a chaotic neural network with parameter uncertainty: A dynamical system vs. machine learning approach
- 04/2020 – 04/2021: Florian Bönsel, Control of noise-induced coherent oscillations in three-neuron motifs
- 03/2016 – 02/2017: Gregor Schuldt, Analyse des Morris-Lecar-Neuronenmodells mit stochastischen Störungen
- 10/2024 – present: Jonas Sengfelder, Chaotic synchronization in non-identical neural networks
- 04/2025: Mathematical Neuroscience Seminar, INRIA Research Center, University of Montpellier, France
- 03/2025: Lecture at the FAU Research Training Group FRASCAL on Machine Learning & Neural Networks, FAU Erlangen
- 10/2024: Biointerfaces Seminar, Laboratory of Biointerfaces, Dept. of Chemistry and Pharmacy, FAU, Erlangen
- 08/2024: International Workshop on Network Dynamics, Centre for Mathematical Sciences, Lund University, Sweden
- 07/2024: International Conference – XLIV Dynamics Days Europe, Bremen, Germany
- 06/2024: International Conference on Mathematical Neuroscience, University College Dublin, Ireland
- 11/2023: Workshop: Dynamics in Coupled Networks, Weierstrass Institute for Applied Analysis & Stochastics, Berlin
- 10/2023: Computational Neuroscience Seminar: University College London (UCL), London, United Kingdom
- 07/2023: 32nd Annual Meeting, Organization for Computational Neurosciences, Leipzig, Germany
- 06/2023: Dynamical Systems Seminar, Centre for Mathematical Sciences, Lund University, Sweden
- 05/2023: Seminar of Statistical Learning and Dynamical Systems, ScaDS.AI Institute, Uni. of Leipzig, Germany
- 05/2023: SIAM Conference on Applications of Dynamical Systems, Portland, Oregon, USA
- 03/2023: Dynamical Systems Seminar, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- 02/2023: Dynamical systems seminar, Department of Applied Mathematics, University of Waterloo, Canada
- 02/2023: 14th Conference on Dynamical Systems Applied to Biology and Natural Sciences, Bilbao, Spain
- 12/2023: Dynamical Systems in Neuroscience seminar, Brandeis University, Waltham, Massachusetts, USA
- 11/2022: International Conference Control of Self-Organizing Nonlinear Systems, Potsdam, Germany
- 10/2022: Conference on Complex Systems, Palma de Mallorca, Spain
- 09/2022: Workshop on Control of Self-Organizing Nonlinear Systems, Wittenberg, Germany
- 06/2022: 7th International Conference on Random Dynamical Systems, Hanoi, Vietnam
- 05/2022: Nonlinear Dynamics Seminar, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
- 09/2021: International Conference on Stochastic Resonance, Perugia, Italy
- 05/2021: SIAM Conference on Applications of Dynamical Systems, Portland, USA
- 11/2020: Mini-workshop on Neuronal Dynamics, University of Erlangen-Nürnberg, Germany
- 08/2020: XL. Dynamics Days Europe, Nice, France
- 02/2020: Oberseminar: Dynamics, Department of Mathematics, Technical University of Munich, Germany
- 09/2019: 15th Seminar on Stochastic and Collective Effects in Neural Systems, University of Granada, Spain
- 07/2019: Workshop on Oscillations, Transients, and Fluctuations in Complex Networks, University of Copenhagen
- 09/2018: Bernstein Conference on Computational Neuroscience, Technical University of Berlin, Germany
- 07/2018: 27th Annual Meeting, Organization for Computational Neurosciences, Seattle, USA
- 05/2018: Seminar: Dynamics and Control of Complex Networks, Inst. of Theoretical Physics, Technical University of Berlin
- 06/2018: 4th International Conference on Mathematical Neuroscience, Juan-les-Pins, France
- 03/2018: Deutsche Physikalische Gesellschaft (DPG) Spring Meeting, Berlin, Germany
- 09/2017: Bernstein Conference on Computational Neuroscience, University of Göttingen, Germany
- 05/2017: SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, USA
- 11/2016: 3rd Dresden-Leipzig Dynamics Day, Technical University of Dresden, Dresden, Germany
- 06/2015: Workshop: Dynamics of Multi-Level Systems, Max Planck Institute for Physics of Complex Systems, Dresden
My research lies at the intersection of applied mathematics, theoretical physics, computational neuroscience, data science, and machine learning. I focus on bridging the gap between mathematical theory and real-world applications, leveraging machine learning to develop innovative tools for analyzing and controlling complex dynamical systems. A central goal is to advance data-driven modeling and discover the underlying governing equations of these systems by combining modern data science techniques with the rigor of traditional dynamical systems theory. For example, I investigate the computational principles of biological neurons to inform the development of neuroscience-inspired and physics-informed machine learning algorithms and neural computing methods.
- Dynamical system theory and nonlinear dynamics
- Mathematical neuroscience and theory of neuronal dynamics
- Statistical physics and stochastic dynamics
- Geometric singular perturbation theory
- Complex systems theory and adaptive network dynamics
- Chaos- and noise-induced resonance and synchronization phenomena
- Self-organization and critical dynamics in adaptive systems
- Inference in dynamical systems
- Data-driven methods in dynamical systems and neurodynamics
- Bayesian methodology for high-dimensional and complex data
- Computation through neural population dynamics
- Statistical and computational methods in neuroscience and neural data (EEG, MEG) analysis
- Spiking neural networks and their applications
- Deep convolutional neural networks, recurrent neural networks, long short-term memory network
- Physics-informed machine learning and constrained optimization
- Neuroscience-inspired machine learning: liquid-state machines & echo-state networks
- In particular, the interfaces between the above fields!
- Effect of diversity distribution asymmetry on global oscillations of networks of excitable units
Stefano Scialla, Marco Patriarca, Els Heinsalu, Marius E. Yamakou, Julyan Cartwright
In preparation/to appear (2025) - Dynamical equivalence between resonant translocation of a polymer chain and diversity-induced resonance
Marco Patriarca, Stefano Scialla, Els Heinsalu, Marius E. Yamakou, Julyan Cartwright
arXiv preprint, submitted (2025) - Reduced-order adaptive synchronization in a chaotic neural network with parameter mismatch: A dynamical system versus machine learning approach
Jan Kobiolka, Jens Habermann, Marius E. Yamakou
Nonlinear Dynamics 113, 10989-11008 (2025) - Inverse stochastic resonance in adaptive small-world neural networks
Marius E. Yamakou, Jinjie Zhu, Erik A. Martens
Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 113119 (2024) - Dynamics of neural fields with exponential temporal kernel
Elham Shamsara, Marius E. Yamakou, Fatihcan M. Atay, Jürgen Jost
Theory in Biosciences 143, 107-122 (2024) - Quantifying and maximizing the information flux in recurrent neural networks
Claus Metzner, Marius E. Yamakou, Dennis Voelkl, Achim Schilling, Patrick Krauss
Neural Computation 36, 351-384 (2024) - Synchronization in STDP-driven memristive neural networks with time-varying topology
Marius E. Yamakou, Serafim Rodrigues, Mathieu Desroches
Journal of Biological Physics 49, 483-507 (2023) - Self-induced-stochastic-resonance breathing chimera
Jinjie Zhu, Marius E. Yamakou
Physical Review E 108, L022204 (2023) - Combined effect of STDP and homeostatic structural plasticity on coherence resonance
Marius E. Yamakou, Christian Kuehn
Physical Review E 107, 044302 (2023) - Coherence resonance and synchronization in a small-world neural network: An interplay in the presence of STDP
Marius E. Yamakou, Estelle M. Inack
Nonlinear Dynamics 111, 7789-7805 (2023) - Diversity-induced decoherence
Marius E. Yamakou, Els Heinsalu, Marco Patriarca, Stefano Scialla
Physical Review E 106, L032401 (2022) - Optimal resonances in multiplex neural networks driven by an STDP learning rule
Marius E. Yamakou, Tat D. Tran, Jürgen Jost
Frontiers in Physics 10, 909365 (2022) - Lévy noise-induced self-induced stochastic resonance in a memristive neuron
Marius E. Yamakou, Tat D. Tran
Nonlinear Dynamics 107, 2847-2865 (2021) - Control of noise-induced coherent oscillations in three-neuron motifs
Florian Bönsel, Claus Metzner, Patrick Krauss, Marius E. Yamakou
Cognitive Neurodynamics 16, 2847-2865 (2021) - Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function
Marius E. Yamakou
Nonlinear Dynamics 101, 487-500 (2020) - Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
Marius E. Yamakou, Poul G. Hjorth, Erik A. Martens
Frontiers in Computational Neuroscience 14, 62 (2020) - The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model
Marius E. Yamakou, Tat D. Tran, Luu H. Duc, Jürgen Jost
Journal of Mathematical Biology 79, 509-532 (2019) - Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
Marius E. Yamakou, Jürgen Jost
Physical Review E 100, 022313 (2019) - Weak-noise-induced transitions with inhibition and modulation of neural oscillations
Marius E. Yamakou, Jürgen Jost
Biological Cybernetics 112, 445-463 (2018) - Coherent neural oscillations induced by weak synaptic noise
Marius E. Yamakou, Jürgen Jost
Nonlinear Dynamics 93, 2121-2144 (2018) - A simple parameter can switch between different weak-noise-induced phenomena in a simple neuron model
Marius E. Yamakou, Jürgen Jost
EPL (Europhysics Letters) 120, 18002 (2017) - Ratcheting and energetic aspects of synchronization in coupled bursting neurons
Marius E. Yamakou, E. Maeva Inack, F. M. Kakmeni Moukam
Nonlinear Dynamics 83, 541-554 (2015) - Localized nonlinear excitations in diffusive Hindmarsh-Rose neural network.
F. M. Kakmeni Moukam, E. Maeva Inack, Marius E. Yamakou
Physical Review E 89, 052919 (2014)
- 04/2025: Co-organizer of the Conference on Women in Data Science, FAU, Erlangen, Germany
- 04/2024: Co-organizer of the Conference on Women in Data Science, FAU, Erlangen, Germany
- 04/2023: Co-organizer of the Conference on Women in Data Science, FAU, Erlangen, Germany
- 03/2020 – 07/2021: Organizer of the Online Seminar Series on Dynamics and Control (93 talks), FAU
- 11/2020: Organizer of the Mini-workshop on Neuronal Dynamics (3 talks), FAU
- 11/2020: Organizer of the Mini-workshop on Robots Learning, Optimization & Control (4 talks), FAU
- 10/2020: Organizer of the Mini-workshop on Hyperbolic Problems (5 talks), FAU
- 03/2025: Invited Lecture at the FAU Research Training Group FRASCAL (fracture across scales) on machine learning, recurrent neural networks, and physics-informed neural networks
- 03/2025: Der Tag der Mathematik, Department Mathematik, FAU, Erlangen
- 06/2016: Science Communicator at the Lange Nacht der Wissenschaften 2016, Inselstrasse 22, Leipzig, Germany
- AIP Advances
- Applied Physics and Engineering
- Applied Physics Letters
- Applications of Mathematics
- Brain Sciences
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Cognitive Neurodynamics
- Communications in Nonlinear Science and Numerical Simulations
- Discrete Dynamics in Nature and Society
- European Physical Journal Plus
- European Physical Journal Special Topics
- Fluctuation and Noise Letters
- Frontiers in Computational Neuroscience
- Journal of Computational and Nonlinear Dynamics
- Journal of Mathematical Biology
- Journal of Sound and Vibration
- International Journal of Bifurcation and Chaos
- Mathematics (ISSN 2227-7390)
- Mathematical Methods in the Applied Sciences
- Neural Processing Letters
- Neural Networks
- Nonlinear Dynamics: An International Journal of Nonlinear Dynamics and Chaos
- Physica A: Statistical Mechanics and its Applications
- Physica D: Nonlinear Phenomena
- Physical Review E
- Physics Letters A
- Reviews of Modern Physics