Current Work:

Impact of Symmetry on both Spatial and Temporal Resonances in Coupled Systems.

This work focuses on the effect of coupling nonlinear cells which exhibit oscillatory or otherwise non-equilibrium dynamics and primarily focuses on local and global resonance phenomena.  The term cells loosely describes any inter-connectable dynamical system (e.g. local molecular dynamics, jet engine dynamics, buildings systems, interaction in human decision making, etc) that once connected acts together in some way (good or bad) to achieve a global goal.  In many cases the coupling and subsequent global response is inherent and a behavior we have to live with while in other cases, the coupling is a design parameter.  The outcome of this work is design tools to enable exploitation of the resonance phenomena when desired, or quenching when it is undesirable.