5 papers
Komuro Expansivity and Periodic Orbit Growth for Multi-Singular Hyperbolic Flows
Maria José Pacifico, Fan Yang, Jiagang Yang +1
In this paper we prove that every multi-singular hyperbolic set of a flow is Komuro expansive. This is the strongest natural form of expansivity for flows with singularities…
Generic properties of vector fields identical on a compact set and codimension one partially hyperbolic dynamics
Shaobo Gan, Ruibin Xi, Jiagang Yang +1
Let be the set of vector fields on a boundaryless compact Riemannian manifold . Given a vector field and a compact invariant se…
An example derived from Lorenz attractor
Ming Li, Fan Yang, Jiagang Yang +1
We consider a DA-type surgery of the famous Lorenz attractor in dimension 4. This kind of surgeries have been firstly used by Smale [S] and Mañé [M1] to give important examples in…
Lyapunov stable chain recurrence classes for singular flows
Shaobo Gan, Jiagang Yang, Rusong Zheng
We show that for a generic vector field away from homoclinic tangencies, a nontrivial Lyapunov stable chain recurrence class is a homoclinic class. The proof uses an argu…
Statistical properties of physical-like measures
Shaobo Gan, Fan Yang, Jiagang Yang +1
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures…