Research Projects
Dynamics of a Feedfoward Chain of Phase Oscillators:
Some recent topics:
- Tuning / Signal Transmission and Propagation in Feed Forward Chains of Phase Oscillators Communicating via Piecewise-affine Coupling
Stable Traveling Wave Solutions in Feedforward Chains of Phase Oscillators
- Self-Organization and Low-dimensional Attractors in Networks of Phase Oscillators
My recent research interests have been motivated by reductions to phase oscillator dynamics for conductance-based neural models. The diagram below is a general illustration of the ideas behind this approach:
I study the joint dynamics of ensembles of these resulting oscillatory units, communicating with each other via various coupling rules motivated by applications: