20 citations · 33 across the 5 of their papers we have counts for
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math.DS2008★ 4 cited
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…
math.DS2008★ 20 cited
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…
math.DS2008
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…