20 citations · 33 across the 5 of their papers we have counts for
5 papers · 1 filter
Nonuniformly expanding 1d maps with logarithmic singularities
Hiroki Takahasi, Qiudong Wang
For a certain parametrized family of maps on the circle with critical points and logarithmic singularities where derivatives blow up to infinity, we construct a positive measure se…
On the dynamics of certain homoclinic tangles
Qiudong Wang, Ali Oksasoglu
In this paper we study homoclinic tangles formed by transversal intersections of the stable and the unstable manifold of a {\it non-resonant, dissipative} homoclinic saddle point i…
Dissipative homoclinic loops and rank one chaos
Qiudong Wang, William Ott
We prove that when subjected to periodic forcing of the form $p_{μ, \rh, \om} (t) = μ(\rh h(x,y) + \sin (\om t))$, certain second order systems of differential equations with dissi…
On the dynamics of a time-periodic equation
Qiudong Wang
In this paper we use the second order equation as a demonstrative example to illustrate how to apply the an…
Analysis of a Class of Strange Attractors
Qiudong Wang, Lai-Sang Young
This work contains the results from a comprehensive study of a new class of attractors. The attractors in this class are characterized by strong local instability, but they are not…