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The paper is a continuation of research in the direction of energy function(a smooth Lyapunov function whose set of critical points coincides with thechain recurrent set of a system) construction for discrete dynamical systems.The authors established the existence of an energy function for any $ A$-diffeomorphism of a three-dimensional closed orientable manifold whosenon-wandering set consists of chaotic one-dimensional attractor and repeller.

Existence of an energy function for 3-dimensional chaotic "sink-source" cascades