منابع مشابه
Partial Hyperbolicity and Specification
We study the specification property for partially hyperbolic dynamical systems. In particular, we show that if a partially hyperbolic diffeomorphism has two saddles with different indices, and the stable manifold of one of these saddles coincides with the strongly stable leaf, then it does not satisfy the specification property.
متن کاملEntropic Stability beyond Partial Hyperbolicity
We analyze a class of deformations of Anosov diffeomorphisms: these C-small, but C-macroscopic deformations break the topological conjugacy class but leave the high entropy dynamics unchanged. More precisely, there is a partial conjugacy between the deformation and the original Anosov system that identifies all invariant probability measures with entropy close to the maximum. We also establish ...
متن کاملPartial Hyperbolicity and Foliations in T
We prove that dynamical coherence is an open and closed property in the space of partially hyperbolic diffeomorphisms of T isotopic to Anosov. Moreover, we prove that strong partially hyperbolic diffeomorphisms of T are either dynamically coherent or have an invariant two-dimensional torus which is either contracting or repelling. We develop for this end some general results on codimension one ...
متن کاملPointwise Partial Hyperbolicity in 3-dimensional Nilmanifolds
We show the existence of a family of manifolds on which all (pointwise or absolutely) partially hyperbolic systems are dynamically coherent. This family is the set of 3-manifolds with nilpotent, non-abelian fundamental group. We further classify the partially hyperbolic systems on these manifolds up to leaf conjugacy. We also classify those systems on the 3-torus which do not have an attracting...
متن کاملLectures on Partial Hyperbolicity and Stable Ergodicity
Weak integrability of the central foliation 56 6. Intermediate Foliations 58 6.1. Non-integrability of intermediate distributions 58 6.2. Invariant families of local manifolds 59 6.3. Insufficient smoothness of intermediate foliations 64 7. Absolute Continuity 69 7.1. The holonomy map 69 7.2. Absolute continuity of local manifolds 75
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scholarpedia
سال: 2011
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.4845