Stanislav Mintchev

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: