G. Kember

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A new method is proposed for the selection of the time delay used in creating phase portrait reconstructions of dynamical systems. Using the singular values computed from a singular value decomposition (SVD) of the embedded flow, we compute a quantity which we term the singular value fraction (SVF) as a function of the chosen lag time A, and denoted as ~(More)
Vagal nerve stimulation in cardiac therapy involves delivering electrical current to the vagal sympathetic complex in patients experiencing heart failure. The therapy has shown promise but the mechanisms by which any benefit accrues is not understood. In this paper we model the response to increased levels of stimulation of individual components of the(More)
We present a method based on dynamical systems theory which can be used to filter time series in a way which is superior to classical Fourier decomposition. This method is applied to three data-sets, taken from respiratory measurements of two children in quiet and REM sleep. Our purpose is to filter the several different oscillatory mechanisms which(More)
We show how the use of " smart " embeddings of time series can indicate the presence of (large) delay in a system, and how they can be used to enhance predictions based on nonlinear dynamics methods. 1. Delay equations are of wide relevance to natural x=f(x 1) [7], but the rapid oscillations make any dynamical systems, particularly in medicine and such easy(More)
The recent application of methods from nonlinear systems theory to the analysis of time series can be used to provide a novel technique for filtering such series, when they represent the coupled output of several distinct oscillators. The method is a nonlinear analogue of Fourier spectral analysis, but is potentially more powerful, in that it allows for(More)
Dick and his wife, Judy were married in 1988 and their joined family includes seven children, all of whom have graduated from college and are married. They have eleven grandchildren. High School as the first in his graduating class as a " Distinguished Alumnus " with his picture and a plaque on the Wall of Fame. The recognition was based upon 'outstanding(More)
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