Shaobo Gan

activity

20082022

most citedExpansive homoclinic classes

44 citations · 84 across the 20 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

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★ 1 cited

Non-integrability of dominated splitting on $T^{2}$

Baolin He, Shaobo Gan

We construct a diffeomorphism $f$ on 2-torus with a dominated splitting $E \oplus F$ such that there exists an open neighborhood $U ∋ f$ satisfying that for any $g \in…

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…

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

Non-integrability of dominated splitting on T2

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

Non-integrability of dominated splitting on $T^{2}$

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