Босова А. А.

Energy function for an Ω-stable flow with a saddle connection on a sphere.

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In this paper the class of simplest not rough $\Omega$-stable flows on a sphere isconsidered. We call simplest not rough $\Omega$-stable flow an $\Omega$-stable flow with least number of fixed points, a single separatrix connecting saddle points and without limit cycles. For such flows we design the Morse energy function.