My Research Interests
I am interested in physical and mathematical problems related to the dynamical
behavior of systems in general and soft-condensed matter systems in particular.
These interests are not limited to using methods of statistical physics to
problems arising in physics, but also comprise the mathematical methods used to
investigate these problems.
Currently, I am working on complex networks . This field has received very much
attention during the last decade. I am mostly interested in the stability of the networks
and the dynamics of networks.
The dynamics of networks is important in the evolution of the power grid. Moreover,
also in brain research complex networks and motifs are ubiquitous and , for example,
associated with diseases like epilepsy. Notwithstanding the
enormous popularity of the network concept, many questions have remain unanswered.
Using both analytical and numerical methods we have started to develop a complex network model
for the power grid.
Some older work of mine:
Field theory of reaction-diffusion systems
Multilayer Markov chains related to polymer flows
A movie of a simple model of a polymer in shear flow. The system exhibits
cyclic dynamics.
Dynamics, bifurcations and chaos in mode-locked semiconductor lasers
Routes to chaos and shear banding instabilities in polymer flows
Translocation of polymers through a pore