SAFE, EXPLOSIVE, AND DANGEROUS BIFURCATIONS IN DISSIPATIVE DYNAMICAL-SYSTEMS

A comprehensive listing of the generic codimension-1 attractor bifurca tions of dissipative dynamical systems is presented. It includes local and global bifurcations of regular and chaotic attractors. The bifurc ations are classified according to the continuity or discontinuity of the attractor path, which governs the physical outcome that would be o bserved under a slow control sweep. Related issues of determinacy, hys teresis, basin structure, and intermittency are addressed. Recently di scovered chaotic bifurcations are discussed in some detail, with parti cular reference to the regular or chaotic saddle-type destroyer with w hich an attractor may collide.