BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE

摘要

In this article we provide, by using kneading sequences, the combinatorial bifurcation diagram associated to a typical two parameter family of contracting Lorenz maps on the real line. We apply these results to two parameter families of geometric Lorenz-like flows.