# Projects & Jobs

I always seeking highly motivated students and postdoctoral fellows with an interest in nonlinear dynamics, complex systems theory, mathematical biology or biophysics. I welcome engineers, mathematicians and physicists alike who wish to pursue problems in complex dynamical systems, mathematical modeling and analysis with applications in biology and technology.

## BSc and MSc Projects

Various projects at BSc/MSc level are possible revolving around, e.g.,

- Dynamical systems theory
- Network dynamics, synchronization theory and coupled oscillator networks
- Mathematical biology (neural networks, vascular networks, cancer modeling, circadian rhythms, food web models, ...)
- DTU students: see
**PROJEKTBASEN.DTU.DK** for a list of possible projects.

**Example projects:**
- Dynamics of spiral waves and chimera states in heart tissue
- Hyperbolic Geometry of Chimera states
- Synchronization dynamics in electric power grids
- Synchronization dynamics in theta neurons, and information routing
- Symmetry Breaking Dynamic States and Multi-stability in Complex Neural Networks (or general oscillator networks)
- Revealing the Topology of Circulatory Networks in Nature
- Circadian Rhythm and Resynchronization in a Neural Networks
- Synchronization and bifurcation in mechanical oscillator networks (near-Hamiltonian mechanics, averaging methods, dimensional reduction
- Evolutionary Dynamics in Cancerous Tissue Network
- Detecting critical transitions and operational failure in noisy complex dynamical systems
- ...

Methods include: dynamical systems theory, applied math, bifurcation theory, perturbation methods, network/graph theory, anlytical mechanics, theoretical physics.

If you are interested in carrying out a BSc or MSc project in my lab, please contact me at the address below.

## PhD and PostDoc

Excellent candidates who are interested in a Ph.D. or postdoctoral position should send me a CV with contact information for three references (letters of recommendation from these references should be sent separately).

Funding for PhD/Postdoc projects can be attained via, e.g., the

EU COFUND programme at DTU (HCØ and EuroTech), as well as other funding programmes.

## Contact

Erik Martens,