Dr. Marius Yamakou
Dr. Marius Yamakou
Research interests and methods
- Stochastic and nonlinear phenomena in complex systems
- Mathematical and computational neuroscience
- Noise, chaos, solitons, synchronization, and chimera in neural systems
- Spatio-temporal patterns in neural field equations
- Network dynamics, control, and optimization
- Stochastic dynamical systems theory and bifurcation analysis
- Geometric singular perturbation theory
- Numerical methods, simulations and data analysis
- The interfaces between the above fields
- … with enthusiastic collaborations with experimental neuroscientists
Teaching
- 04/2020 – Now: Teaching Assistant, Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg
- Exercise class: Mathematics for Engineers C4: INF, SS 2020
- 02/2019 – 04/2019: Visiting Lecturer, Department of Applied Mathematics, Technical University of Denmark
- Lecture: Dynamical Systems 2 (M.Sc. level, jointly with Prof. Dr. Erik Martens)
- Exercise class: Dynamical Systems 2
- 10/2016 – 10/2017: Lecturer, Max Planck Institute for Mathematics in the Sciences
- Seminar series: 5 Lectures on Stochastic Neuronal Dynamics
- 10/2012 – 06/2013: Teaching Assistant, Department of Physics, University of Buea
- Exercise class: Classical mechanics 1 (Lower B.Sc. Course)
- Exercise class: Classical mechanics 2 (Advanced B.Sc. Course)
- Exercise class: Mathematical methods for physics 1 (Lower B.Sc. Course)
- Exercise class: Mathematical methods for physics 2 (Advanced B.Sc. Course)
Publications
- Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function.
Marius E. Yamakou
Nonlinear Dynamics, doi: 10.1007/s11071-020-05715-2, (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, doi: 10.3389/fncom.2020.00062, (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 (2016) - 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) - Dynamics of neural fields with exponential temporal kernel.
Elham Shamsara, Marius E. Yamakou, Fatihcan M. Atay, Jürgen Jost
arXiv available here , Submitted (2020) - Lévy noise-induced self-induced stochastic resonance in a memristive neuron.
Marius E. Yamakou, Tat D. Tran
arXiv available here , Submitted (2020) - Control of noise-induced coherent oscillations in time-delayed neural networks.
Florian Bönsel, Claus Metzner, Patrick Krauss, Marius E. Yamakou,
(In preparation); arXiv: (2021)