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Coherent measures and the unstable manifold of isolated unstable attractors

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ABSTRACT In this note we give a statistical approximation of the unstable manifold of a connected isolated unstable attractor of a smooth flow using coherent measures relative to it. In… Click to show full abstract

ABSTRACT In this note we give a statistical approximation of the unstable manifold of a connected isolated unstable attractor of a smooth flow using coherent measures relative to it. In the main result we show that almost all orbits in the support of a coherent measure relative to an isolated unstable attractor are contained in its unstable manifold.

Keywords: measures unstable; manifold isolated; unstable attractors; unstable manifold; coherent measures; isolated unstable

Journal Title: Dynamical Systems
Year Published: 2018

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