20 citations · 30 across the 2 of their papers we have counts for
2 papers
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.DS2007★ 10 cited
Strange attractors in periodically-kicked degenerate Hopf bifurcations
William Ott
We prove that spiral sinks (stable foci of vector fields) can be transformed into strange attractors exhibiting sustained, observable chaos if subjected to periodic pulsatile forci…