VBM Data Probes and Data Reduction

In contrast the solution of a (single) Initial Value Problem for the system of ODE is close to instantaneous. In fact for each point on the bifurcation diagram VBM stores only the initial data yielding a solution to the Boundary Value Problem.

Each time a set of parameter values (as represented in the bifurcation diagram )is selected, the full solution data at that point necessary for visualization is recreated by the Data Probe via an initial value problem solve (with the computation being carried out on the laptop in this case).

This yields a reduction in data storage requirements from 2000 unknowns per set of parameter values to approximately 20 unknowns per set of parameter values.

http://lcvmwww.epfl.ch