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[HTML][HTML] Surrogate data for hypothesis testing of physical systems
The availability of time series of the evolution of the properties of physical systems is
increasing, stimulating the development of many novel methods for the extraction of …
increasing, stimulating the development of many novel methods for the extraction of …
Surrogate time series
T Schreiber, A Schmitz - Physica D: Nonlinear Phenomena, 2000 - Elsevier
Before we apply nonlinear techniques, eg those inspired by chaos theory, to dynamical
phenomena occurring in nature, it is necessary to first ask if the use of such advanced …
phenomena occurring in nature, it is necessary to first ask if the use of such advanced …
A practical method for calculating largest Lyapunov exponents from small data sets
Detecting the presence of chaos in a dynamical system is an important problem that is
solved by measuring the largest Lyapunov exponent. Lyapunov exponents quantify the …
solved by measuring the largest Lyapunov exponent. Lyapunov exponents quantify the …
Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state
We compare dynamical properties of brain electrical activity from different recording regions
and from different physiological and pathological brain states. Using the nonlinear prediction …
and from different physiological and pathological brain states. Using the nonlinear prediction …
Nonlinear dynamical analysis of EEG and MEG: review of an emerging field
Many complex and interesting phenomena in nature are due to nonlinear phenomena. The
theory of nonlinear dynamical systems, also called 'chaos theory', has now progressed to a …
theory of nonlinear dynamical systems, also called 'chaos theory', has now progressed to a …
Approaching complexity by stochastic methods: From biological systems to turbulence
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …
(in time or space), sequentially measured set of experimental data, how should one analyze …
Epileptic seizure prediction and control
Epileptic seizures are manifestations of epilepsy, a serious brain dynamical disorder second
only to strokes. Of the world's/spl sim/50 million people with epilepsy, fully 1/3 have seizures …
only to strokes. Of the world's/spl sim/50 million people with epilepsy, fully 1/3 have seizures …
State space reconstruction parameters in the analysis of chaotic time series—the role of the time window length
The most common state space reconstruction method in the analysis of chaotic time series is
the Method of Delays (MOD). Many techniques have been suggested to estimate the …
the Method of Delays (MOD). Many techniques have been suggested to estimate the …
Interdisciplinary application of nonlinear time series methods
T Schreiber - Physics reports, 1999 - Elsevier
This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …
developed on the basis of the theory of deterministic chaos. The major difficulties are …
Random walking during quiet standing
During quiet standing, the human body continually moves about in an erratic, and possibly
chaotic, fashion. Here we show that postural sway is indistinguishable from correlated noise …
chaotic, fashion. Here we show that postural sway is indistinguishable from correlated noise …