most citedProof of the Morse conjecture for analytic flows on orientable surfaces

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Proof of the Morse conjecture for analytic flows on orientable surfaces

S. Aranson, E. Zhuzhoma

In 1946, M. Morse proposed a conjecture that an analytic topologically transitive systems is metrically transitive. We prove this Morse conjecture for flows on a closed orientable…

math.DS2004

There are no structurally stable diffeomorphisms of odd-dimensional manifolds with codimension one non-orientable expanding attractors

V. Medvedev, E. Zhuzhoma

We prove that a structurally stable diffeomorphism of a closed (2m+1)-manifold has no codimension one non-orientable expanding attractors.