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Regular version of the site

Article

Энергетическая функция градиентно-подобных потоков и проблема топологической классификации

Математические заметки. 2014. Т. 96. № 6. С. 856-863.
Гринес В. З., Гуревич Е. Я., Починка О. В.

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.