Morse–Smale cascades on 3-manifolds

This is a survey of recent (from 2000) results obtained by the authors in collaboration with Russian and foreign colleagues. The major theme of our investigations involves Morse–Smale cascades on orientable 3-manifolds and includes a complete topological classification of them, a determination of the interconnection between their dynamics and the topology of the ambient manifold, a criterion for embeddability in a topological flow, and necessary and sufficient conditions for such cascades to have an energy function.
Bibliography: 76 titles.