Stanislav Mintchev

Associate Professor of Mathematics

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: