Article
Энергетическая функция градиентно-подобных потоков и проблема топологической классификации
For gradient-like flows without heteroclinic intersections of the stable and unstable manifolds of saddle periodic points all
of whose saddle equilibrium states have Morse index 1 or n − 1, the notion of consistent equivalence of energy functions
is introduced. It is shown that the consistent equivalence of energy functions is necessary and sufficient for topological
equivalence.