## Journals

- Advances in Mathematics of Communications
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- Discrete & Continuous Dynamical Systems - A
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- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
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- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
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### Open Access Journals

DCDS

We study partially hyperbolic diffeomorphisms satisfying a
trapping property which makes them look as if they were Anosov at
large scale. We show that, as expected, they share several
properties with Anosov diffeomorphisms. We construct an expansive
quotient of the dynamics and study some dynamical consequences
related to this quotient.

JMD

We prove that dynamical coherence is an open and closed property in
the space of partially hyperbolic diffeomorphisms of $\mathbb{T}^3$
isotopic to Anosov. Moreover, we prove that strong partially
hyperbolic diffeomorphisms of $\mathbb{T}^3$ 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 foliations which may be of independent
interest.

## Year of publication

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