Henk W. Broer, Heinz Hanßmann Bifurcations in Volume-Preserving Systems (1539K, PostScript) ABSTRACT. We give a survey on local and semi-local bifurcations of divergence-free vector fields. These differ for low dimensions from `generic' bifurcations of structure-less `dissipative' vector fields, up to a dimension-threshold that grows with the co-dimension of the bifurcation.