33 citations · 219 across the 21 of their papers we have counts for
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math.DS2010★ 5 cited
Positive Lyapunov exponent by a random perturbation
Zeng Lian, Mikko Stenlund
We study the effect of a random perturbation on a one-parameter family of dynamical systems whose behavior in the absence of perturbation is ill understood. We provide conditions u…
math.DS2010★ 24 cited
From limit cycles to strange attractors
William Ott, Mikko Stenlund
We define a quantitative notion of shear for limit cycles of flows. We prove that strange attractors and SRB measures emerge when systems exhibiting limit cycles with sufficient sh…