Numerical bifurcation analysis and parallel processing.

摘要

A numerical scheme has been developed for determining the global static bifurcation characteristics of a nonlinear system. Based on the desirable properties of equilibrium solution surfaces in certain coordinate systems, its utility also extends to the task of classifying the different multiplicity patterns found in the remaining parameter space. An outline of the numerical technique and a discussion of its inherent parallelizability will be presented in this paper. 5 refs., 6 figs. (ERA citation 15:001985)