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- Daniel T Kaplan
- 1994

By focusing attention on close returns of a trajectory to itself, the existence of deterministic dynamics underlying a time series can be detected even in very short data sets. This provides a practical means of detecting determinism in moderate-dimensional (e.g. 7) noisy systems, or low-dimensional systems with large Lyapunov exponents such as computer… (More)

The electrical activity of the heart usually shows dynamical behavior which is neither periodic nor deterministically chaotic: The interbeat intervals seem to contain a random component. Although long term predictions are thus impossible, good predictions can be made for times smaller than one heart cycle. This fact is used in order to suppress measurement… (More)

Action potentials resulting from periodic stimulation of nerve axons occur at intervals that are irregular at moderate stimulation frequencies. Histograms of the intervals are multimodal, as seen in stochastic resonance. At higher stimulation frequencies, the action potentials are suppressed entirely, leaving only subthreshold dynamics. Return maps… (More)

- Naoto Burioka, Masanori Miyata, +10 authors Eiji Shimizu
- Clinical EEG and neuroscience
- 2005

Entropy measurement can discriminate among complex systems, including deterministic, stochastic and composite systems. We evaluated the changes of approximate entropy (ApEn) in signals of the electroencephalogram (EEG) during sleep. EEG signals were recorded from eight healthy volunteers during nightly sleep. We estimated the values of ApEn in EEG signals… (More)

- Naoto Burioka, Germaine Cornélissen, +4 authors Eiji Shimizu
- Chest
- 2003

STUDY OBJECTIVE
The breath-to-breath variability of respiratory parameters changes with sleep stage. This study investigates any alteration in the approximate entropy (ApEn) of respiratory movement as a gauge of complexity in respiration, by stage of consciousness, in the light of putative brain interactions.
PARTICIPANTS
Eight healthy men, who were… (More)

- Mathieu Jospin, Pere Caminal, +5 authors Daniel T. Kaplan
- IEEE Trans. Biomed. Engineering
- 2007

For several decades, a number of methods have been developed for the noninvasive assessment of the level of consciousness during general anesthesia. In this paper, detrended fluctuation analysis is used to study the scaling behavior of the electroencephalogram as a measure of the level of consciousness. Three indexes are proposed in order to characterize… (More)

- Christopher L. Bremer, Daniel T. Kaplan
- 1999

Many techniques for time series analysis are based on the idea of representing the time series z 1 ,. .. , z N as a probability density. For example, the correlation and information dimensions can be written in terms of an integral over a probability density p(z t , z t−h ,. .. , z t−(m−1)h) in a lag embedding space [1] of dimension m and lag h ; the mutual… (More)

- Naoto Burioka, Germaine Cornélissen, +8 authors Eiji Shimizu
- Clinical EEG and neuroscience
- 2005

The approximate entropy (ApEn) of signals in the electroencephalogram (EEG) was evaluated in 8 healthy volunteers and in 10 patients with absence epilepsy, both during seizure-free and seizure intervals. We estimated the nonlinearity of each 3-sec EEG segment using surrogate data methods. The mean (+/- SD) ApEn in EEG was 0.83 +/- 0.22 in healthy subjects… (More)

- M Richter, T Schreiber, D T Kaplan
- IEEE transactions on bio-medical engineering
- 1998

We describe a method to suppress maternal and noise contaminations in single-lead fetal ECG recordings. A nonlinear state space projection technique originally developed for noise reduction in deterministically chaotic signals is used. The method is successfully applied to recordings with fetal components and noise of comparable amplitude.

- D T Kaplan, R J Cohen
- Circulation research
- 1990

Ventricular fibrillation is examined to determine whether it is an instance of deterministic chaos. Surface ECGs from dogs in fibrillation were used to generate a state space representation of fibrillation. Our analysis failed to identify a low-dimensional attractor that could be associated with fibrillation. The results suggest that fibrillation is similar… (More)