Shaobo Gan

activity

20142024

most citedA robustly transitive diffeomorphism of Kan's type

1 citations · 1 across the 6 of their papers we have counts for

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6 papers · 1 filter

math.DS2024

Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics

Shaobo Gan, Ruibin Xi, Jiagang Yang +1

Let $X^{r} (M)$ be the set of $C^{r}$ vector fields on a boundaryless compact Riemannian manifold $M$ . Given a vector field $X_{0} \in X^{r} (M)$ and a compact invariant se…

math.DS2017★ 1 cited

A robustly transitive diffeomorphism of Kan's type

Cheng Cheng, Shaobo Gan, Yi Shi

We construct a family of partially hyperbolic skew-product diffeomorphisms on $T^{3}$ that are robustly transitive and admitting two physical measures with intermingled basi…

math.DS2016

A chain transitive accessible partially hyperbolic diffeomorphism

Shaobo Gan, Yi Shi

In this paper, we construct a partially hyperbolic skew-product diffeomorphism $f$ on $T^{3}$ , such that $f$ is accessible and chain transitive, but not transitive.

math.DS2014

Chain-transitivity of partially hyperbolic diffeomorphisms on $T^{3}$ isotopic to Anosov

Shaobo Gan

We prove that if $f$ is a partially hyperbolic diffeomorphism on 3-torus $T^{3}$ and isotopic to Anosov, then $f$ is chain transitive.

math.DS2014

An answer to Hammerlindl's question on strong unstable foliations

Yan Ren, Shaobo Gan, Pengfei Zhang

Let $f : T^{3} \to T^{3}$ be a partially hyperbolic diffeomorphism on the 3-torus $T^{3}$ . In his thesis, Hammerlindl proved that for lifted center foliation $\ma…

math.DS2014

Oriented shadowing property and $Ω$ -stability for vector fields

Shaobo Gan, Ming Li, Sergey B. Tikhomirov

We call that a vector field has the oriented shadowing property if for any $ε > 0$ there is $d > 0$ such that each $d$ -pseudo orbit is $ε$ -oriented shadowed by some…

Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics

A robustly transitive diffeomorphism of Kan's type

A chain transitive accessible partially hyperbolic diffeomorphism

Chain-transitivity of partially hyperbolic diffeomorphisms on T3 isotopic to Anosov

An answer to Hammerlindl's question on strong unstable foliations

Oriented shadowing property and Ω-stability for vector fields

Chain-transitivity of partially hyperbolic diffeomorphisms on $T^{3}$ isotopic to Anosov

Oriented shadowing property and $Ω$ -stability for vector fields