A chain transitive accessible partially hyperbolic diffeomorphism which is non-transitive

DOI10.1090/proc/13708zbMath1379.37050arXiv1612.03377OpenAlexW2594139165MaRDI QIDQ4590979

Yi Shi, Shaobo Gan

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03377

zbMATH Keywords

chain transitiveskew-product diffeomorphism

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• Unnamed Item
• Partial hyperbolicity and foliations in \(\mathbb{T}^3\)
• Ergodic components of partially hyperbolic systems
• Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center
• On the ergodicity of partially hyperbolic systems
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle
• Non-wandering sets with non-empty interiors
• On the non-robustness of intermingled basins
• Transitivity and Topological Mixing for $${C}^{1}$$ Diffeomorphisms
• Pointwise partial hyperbolicity in three-dimensional nilmanifolds
• Recurrence and genericity
• Invariant manifolds