A chain transitive accessible partially hyperbolic diffeomorphism
Shaobo Gan, Yi Shi
TL;DR
This paper constructs a specific partially hyperbolic diffeomorphism on the 3-torus that is accessible and chain transitive but not transitive, providing insights into the nuanced dynamics of such systems.
Contribution
It presents a novel example of a partially hyperbolic diffeomorphism with unique accessibility and chain transitivity properties that are not observed together before.
Findings
Constructed a new example of a partially hyperbolic diffeomorphism on $\
f
on $\\mathbb{T}^3$
Abstract
In this paper, we construct a partially hyperbolic skew-product diffeomorphism on , such that is accessible and chain transitive, but not transitive.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Chaos control and synchronization