Coherent measures and the unstable manifold of isolated unstable attractors. Issue 3 (3rd July 2019)

• Record Type: Journal Article
• Authors: Athanassopoulos, Konstantin
• Is Part Of: Dynamical systems. Volume 34:Issue 3(2019)
• Page Start: 434
• Page End: 442
• Publication Date: 2019-07-03
• Subjects: Isolated unstable attractor -- unstable manifold -- coherent measure; 37C70 -- 37C29 -- 37B25; Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2018.1547684
• Languages: English
• ISSNs: 1468-9367

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.