Dynamics Research

Principal Investigator: Elisha Sacks

Dr. Sacks has developed an analysis program for one-parameter planar dynamical systems that performs comparably to experts. The program constructs phase diagrams, which represent the steady-state behavior over a range of initial conditions, and bifurcation diagrams, which represent the changes in steady-state behavior over a range of parameter values. It displays the diagrams symbolically and graphically. The program has solved an open problem in cardiology and corrected mistaken analyses in major journals.