Departamento de Matemática, Instituto de Matemática (CONICET) Universidad Nacional del Sur, Av. Alem 1253 Bahía Blanca 8000, Buenos Aires, Argentina
Abstract:
We establish a numerically feasible algorithm to find a simplicial approximation A to a certain part
of the boundary of the set
of stable (or Hurwitz) polynomials of degree 4. Moreover, we have that
. Using this, we build an algorithm to find a piecewise-linear approximation to the intersection curve of a given surface contained in
4 with
. We have also devised an efficient computer program to perform all these operations. The main motivation is to find the curve of nondegenerate bifurcation points in parameter space for a given 2-parametric Hopf bifurcation problem of dimension 4.