  We prove the existence of a continuous Morse energy function for an arbitrary
topological flow with finite hyperbolic (in topological sense) chain recurrent
set on a topological manifold of any dimension. This result is a partial
solution of the Morse problem of existence of continuous Morse functions on any
topological manifolds. Namely, we prove that a topological manifold admits a
continuous Morse function if it admits a topological flow with finite
hyperbolic chain recurrent set.
