Pathological tremors: Deterministic chaos or nonlinear stochastic oscillators?
- 1 March 2000
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 10 (1) , 278-288
- https://doi.org/10.1063/1.166494
Abstract
Pathological tremors exhibit a nonlinear oscillation that is not strictly periodic. We investigate whether the deviation from periodicity is due to nonlinear deterministic chaotic dynamics or due to nonlinear stochastic dynamics. To do so, we apply various methods from linear and nonlinear time series analysis to tremor time series. The results of the different methods suggest that the considered types of pathological tremors represent nonlinear stochastic second order processes. Finally, we evaluate whether two earlier proposed features capturing nonlinear effects in the time series allow for a discrimination between two pathological forms of tremor for a much larger sample of time series than previously investigated.Keywords
This publication has 46 references indexed in Scilit:
- Power of surrogate data testing with respect to nonstationarityPhysical Review E, 1998
- Dimension estimates and physiological dataChaos: An Interdisciplinary Journal of Nonlinear Science, 1995
- Failure of dimension analysis in a simple five-dimensional systemPhysical Review E, 1994
- Positive Lyapunov exponents in the Kramers oscillatorJournal of Statistical Physics, 1993
- Method to distinguish possible chaos from colored noise and to determine embedding parametersPhysical Review A, 1992
- Spectral analysis of tremor: understanding the results.Journal of Neurology, Neurosurgery & Psychiatry, 1990
- Evidence for climatic attractorsNature, 1987
- Evidence for climatic attractorsNature, 1987
- Do climatic attractors exist?Nature, 1986
- Is there a climatic attractor?Nature, 1984