Bifurcations of a pair of nonorientable heteroclinic cycles (Q1270881)

The authors study some bifurcation problems of a pair of nonorientable heteroclinic cycles of vector fields, which are related to the study of Lorenz equations. The presence of both nonorientable cycles provides \(\Omega\)-explosion. The authors analyze what kinds of bifurcation behaviour happen for a generic two-parameter unfolding of a system with a pair of nonorientable heteroclinic cycles and give symbolic descriptions about the trajectories which stay forever in a sufficiently small neighborhood of the pair of cycles.