MC² Visualization Tool Developed at LCVM

MC², which is an acronym for Multiplier and Constraint Continuation, is a visualization package that allows the interactive steering of two parameter continuation calculations. The authors are Maddocks and Mesztenyi and the graphics are implemented as AVS5 modules.

Much of the MC² paradigm applies to any two parameter continuation problem, but the code is optimized for the calculation of two dimensional families of critical points in constrained variational principles, such as those displayed in the two projected bifurcation diagrams in the MC² graphic shown here and in an mpeg movie .

The different colors of the multi-sheeted surfaces encode stability exchanges, and are also related to cusps and lines of inflexion in the two distinguished projections shown here.

MC² is further described in two articles : IJBC article 1997, IMA article 1995.