Time Series and the Dynamics of Demand Pacing
07 February 2018 (online)
Motivated by a common practice in cardiology, we analyze the dynamics of a demand paced system where one seeks to create a stable periodic response. By using techniques originally developed for controlling chaotic systems, one can enhance the information contained in time series regarding hidden, unstable periodic orbits. This makes it possible, for example, to track drifts in a system‘s dynamics.
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- 9 Note that if the dynamics involved more than two previous values of t, this condition would be largely the same. For example, if the dynamics were three-dimensional τ l+1 = at + b t-1 + c t-2 + d the condition for stable pacing would be (a + b + c) C + d > C. Thus, two-dimensional dynamics can correctly model the stability of pacing when the autonomous dynamics involve more than two dimensions.