Erik Andreas Martens
Teaching Activities
Teaching
-
F2022: FMAB65 and FMAB70 Endimensionell Analys (Mathematics for Engineers, BSc level)
Centre for Mathematical Sciences, Mathematics LTH, Lund University, Sweden
-
F2021: FMAB70 Endimensionell Analys (Mathematics for Engineers, BSc level)
Centre for Mathematical Sciences, Mathematics LTH, Lund University, Sweden
-
S2020: 01622 Advanced Dynamical Systems -- Applications and Methods in Science and Engineering (MSc level)
Department of Applied Math and Computer Science, Technical University of Denmark
Detailed description (PDF)
-
S2020: Special Course: Network Dynamics and Synchronization Theory (MSc/PhD level)
Department of Applied Math and Computer Science, Technical University of Denmark
Detailed description (PDF)
-
F2019: Mathematics for Engineers
Department of Applied Math and Computer Science, Technical University of Denmark
-
S2019: Dynamical Systems 2
Department of Applied Math and Computer Science, Technical University of Denmark
-
F2018: Mathematics for Engineers
Department of Applied Math and Computer Science, Technical University of Denmark
-
F2017: Mathematics for Engineers
Department of Applied Math and Computer Science, Technical University of Denmark
-
S2016: Mathematical modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
S2016: Advanced mathematical modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
S2016: Kaos, fraktaler og synkronisering:" Synkronisering i naturen"
Folkeuniversitet København (Public University Copenhagen). Location: Niels Bohr Institute.
Hvad er kaos, og hvad er orden?
Det er to spørgsmål, som teorien for dynamiske systemer prøver at give videnskabelige svar på.
Emnekurset vil præsentere den fascinerende historie om, hvorledes forståelsen af kaos og orden og begreber som fraktal geometri voksede frem i det tyvende århundrede med udviklingen af teorien for dynamiske systemer. Denne udvikling blev gjort mulig af moderne computere, og den viste, at selv helt simple systemer som et dobbelt-pendul kan opføre sig fuldstændig uforudsigeligt, og at et komplekst system som en sværm af blinkende ildfluer kan udvise regelmæssig og synkron adfærd.
-
S2015: Mathematical modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
S2015: Advanced mathematical modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
F2014: Stochastic Processes: An introduction to Markov chains
Department of Mathematics, University of Copenhagen
-
S2014: Mathematical modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
S2014: Advanced modeling of physiological systems
Department of Biomedical Science, University of Copenhagen
-
S2013: Mathematical Biology
Aqua, Technical University of Denmark
-
S2009: Nonlinear Dynamics and Chaos
Department of Theoretical and Applied Mechanics, Cornell University, USA
-
F2008: Differential Equations
Department of Mathematics, Cornell University, USA
Supervised students and postdocs
Current:
- (2023-): R. Cestnik, Mathematics, Postdoctoral Researcher, Centre for
Mathematical Sciences, Lund University. Topic: "Dynamics of coupled oscillator networks".
- 2021-present: F. Augustsson, Mathematics, Ph.D. thesis student, Centre for
Mathematical Sciences, Lund University. Topic: "Adaptive synchronization/dynamics in
networks of biological neurons". Main Supervisor.
- 2019-present: B. Jüttner, matematics, Ph.D. thesis student (with C. Kuehn (TUM), S. Lehmann (DTU), P.G. Hjorth
(DTU)). Topic: "Co-evolutionary network dynamics in (socio-)biological systems". Main supervisor.
Past:
- 2020: S. Joris Aertssen, mathematics, M.Sc. thesis: "The dynamics of adaptive neuronal networks: influence of topology on synchronisation"
- 2020: R. Florido, mathematics, M.Sc. thesis: "Collective dynamics and dimensional reduction for Kuramoto oscillator networks"
- 2020: E. Himmelstrup, mathematical neuroscience, B.Sc. thesis: "Collective behaviour and synchronization in a network of theta neurons"
- 2019: B. Jüttner, math (dynamics of coupled theta neurons), M.Sc. thesis: "Collective behaviour in two populations of coupled Theta neurons"
(Co-supervisor: C. Henriksen)
- 2019: M. Yamakou, math/biophysics
(neural networks), postdoctoral researcher. Topic: "Optimal self-induced stochastic resonance in multiplex neural networks"
- 2018/19: P. Bork, mathematics/biophysics (transport in glymphatic networks), M.Sc. thesis: "Mathematical Models of the Glymphatic System Proposals for experiments and their interpretations " (co-supervisor with P.G. Hjorth and M. Nedergaard).
- 2018/19: D. M. Nielsen, physics (Dynamics of a forced array of coupled mechanical oscillators), B.Sc. thesis: "Undersøgelse af synkroniseringe af koblede mekaniske oscillatorer" (supervision with P.G. Hjorth).
- 2018/19: M. E. Gieystor Bertelsen, mathematics (circadian rhythms and resetting), M.Sc. thesis: "Circadian Rhythm - Synchronization of Oscillators" (co-supervision with P.G. Hjorth).
- 2016: M. N. Kiel Andersen, biomedical engineering (segmentation and flow simulation of nonplanar vascular networks), B.Sc. thesis: "Topological and morphological analysis of 3D data of microvascular system in the brain" (co-supervisor: N. H. Holstein-Rathlou).
- T. Bøgeholm Mikkelsen, physics (social networks, critical transitions, network dynamics), Ph.D. projec, "Adaptive dynamics in transport
networks".
- S. Thutupalli, physics, MPI for Dynamics and Self-Organization, Ph.D. project, "Chimera states in mechanical oscillator networks".
Research group leader, Thutupalli Lab, National Centre for Biological Sciences, Tata Institute for Fundamental Research, India.
Master's and Bachelor thesis projects
-
Please see HERE for current projects in network dynamics, synchronization theory and mathematical biology with applications in power grid dynamics, neuroscience, ecology and cancer modeling.
- DTU students: to get an impression of possible projects, see PROJEKTBASEN.DTU.DK.