Physical measures for certain partially hyperbolic attractors on 3-manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.24
Abstract: In this work, we analyze ergodic properties of certain partially hyperbolic attractors whose central direction has a neutral behavior; the main feature is a condition of transversality between the projections of unstable leaves, projecting through… read more here.
Keywords: attractors manifolds; measures certain; hyperbolic attractors; physical measures ... See more keywords
Hyperbolic Attractors of Diffeomorphisms of Euclidean Space
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DOI: 10.1134/s0012266119040037
Abstract: An arbitrary diffeomorphism f of class C1 acting from an open set $$\mathcal{U}\subset \mathbb{R}^{m}$$U⊂ℝm, m ≥ 2, into $$f(\mathcal{U})\subset \mathbb{R}^{m}$$f(U)⊂ℝm is considered. Sufficient conditions for such a diffeomorphism to admit a hyperbolic mixing attractor are… read more here.
Keywords: attractors diffeomorphisms; euclidean space; hyperbolic attractors; diffeomorphisms euclidean ... See more keywords