Criterion for the topological conjugacy of multi-dimensional gradient-like flows with no heteroclinic intersections on a sphere (Q2199038)
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| Language | Label | Description | Also known as |
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| English | Criterion for the topological conjugacy of multi-dimensional gradient-like flows with no heteroclinic intersections on a sphere |
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Criterion for the topological conjugacy of multi-dimensional gradient-like flows with no heteroclinic intersections on a sphere (English)
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16 September 2020
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Gradient-like flows on a $n$-dimensional (\(n\geqslant 3\)) sphere, such that invariant manifolds of different saddle points do not intersect, are considered. A bicolor graph for this class of flows is constructed. It is proved that two flows of this class are topological equivalent if and only if their graphs are isomorphic.
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gradient-like flow
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topological equivalence
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bicolor graph
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