47 citations · 185 across the 22 of their papers we have counts for
22 papers
Taut foliations of 3-manifolds with Heegaard genus two
Tao Li
Let be a closed, orientable, and irreducible 3-manifold with Heegaard genus two. We prove that if the fundamental group of is left-orderable then admits a co-orientable…
Heegaard genus, degree-one maps, and amalgamation of 3-manifolds
Tao Li
Let be an amalgamation of two compact 3-manifolds along a torus, where is the exterior of a knot in a homology sphere. Let be the manifold obtained by replaci…
Dynamics of planar vector fields near a non-smooth equilibrium
Tao Li, Xingwu Chen
In this paper we contribute to qualitative and geometric analysis of planar piecewise smooth vector fields, which consist of two smooth vector fields separated by the straight line…
Periodic orbits of linear Filippov systems with a line of discontinuity
Tao Li, Xingwu Chen
In this paper we consider periodic orbits of planar linear Filippov systems with a line of discontinuity. Unlike many publications researching only the maximum number of crossing p…
Crossing limit cycles of nonsmooth Liénard systems and applications
Tao Li, Hebai Chen, Xingwu Chen
Continuing the investigation for the number of crossing limit cycles of nonsmooth Liénard systems in [Nonlinearity 21(2008), 2121-2142] for the case of a unique equilibrium, in thi…
Tunnel number one knots satisfy the Berge Conjecture
Tao Li, Yoav Moriah, Tali Pinsky
Let be a tunnel number one knot in with irreducible knot exterior, where is either , or a connected sum of with any lens space. (In particular, thi…