68 citations · 229 across the 16 of their papers we have counts for
7 papers · 1 filter
Efficient Evader Detection in Mobile Sensor Networks
Henry Adams, Deepjyoti Ghosh, Clark Mask +2
Suppose one wants to monitor a domain with sensors, each sensing a small ball-shaped region, but the domain is hazardous enough that one cannot control the placement of the sensors…
Delay-Induced Uncertainty for a Paradigmatic Glucose-Insulin Model
Bhargav Karamched, George Hripcsak, Dave Albers +1
Medical practice in the intensive care unit is based on the supposition that physiological systems such as the human glucose-insulin system are predictable. We demonstrate that del…
Nonstationary open dynamical systems
Brett Geiger, William Ott
This paper studies nonstationary open dynamical systems from the statistical viewpoint. By open, we mean that trajectories may escape through holes in the phase space. By nonstatio…
Memory loss for time-dependent dynamical systems
William Ott, Lai-Sang Young, Mikko Stenlund
This paper discusses the evolution of probability distributions for certain time-dependent dynamical systems. Exponential loss of memory is proved for expanding maps and for one-di…
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…
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…