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Regular version of the site

Book chapter

Реализация оснащённого двудольного графа Омега-устойчивым потоком на поверхности

С. 418-427.

A lot of many sorts of graphs (directed, multicolored, bipartite, etc.) were
repeatedly used to describe and realize systems with regular dynamics on surfaces. For
example, Morse-Smale flows are completely described by a directed graph equipped
with a subgraph system. In addition, their dynamics can be described by three-color
graphs. Four-color graphs describe the dynamics of some non structurally unstable
vector fields, and a directed bipartite graph, equipped with additional information,
is a complete topological invariant for Ω-stable flows. In this paper, for each oriented
equipped bipartite graph, we construct a standard Ω-stable flow on a closed surface.