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NONLINEAR TIME SERIES ANALYSIS IN EPILEPSY
International Journal of Bifurcation and Chaos, 2007The framework of the theory of nonlinear dynamics provides powerful concepts and algorithms to study complicated dynamics such as brain electrical activity (electroencephalogram, EEG). Although different influencing factors render the use of nonlinear measures in a strict sense problematic, converging evidence from various investigations now indicates
Hannes Osterhage, Klaus Lehnertz
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Nonlinearity tests for time series
Biometrika, 1986This paper considers two nonlinearity tests for stationary time series. The idea of Tukey's one degree of freedom for nonadditivity test is generalized to the time series setting. The case of concurrent nonlinearity is discussed in detail. Simulation results show that the proposed tests are more powerful than that of \textit{D. M. Keenan}, ibid. 72, 39-
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nonlinear time series analysis [PDF]
Since the early 1980s, there has been a growing interest in stochastic nonlinear dynamical systems of the form, where is a zero mean, covariance stationary process, is the conditional volatility, and is an independent and identically distributed noise process.
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Modeling nonlinear time series
[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1992It is argued that the ubiquity of strange attractors in nature suggests that using nonlinear modeling techniques might improve performance in some signal processing applications. A synthetic data set generated by numerically integrating a simple nonlinear differential equation is described, and the case with which crude nonlinear methods outperform ...
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Surrogate for nonlinear time series analysis
Physical Review E, 2001We present a surrogate for use in nonlinear time series analysis. This surrogate algorithm has significant advantages over the most commonly used surrogates, in that it provides a more robust statistical test by producing an entire population of surrogates that are consistent with the null hypothesis.
K T, Dolan, M L, Spano
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Series method in nonlinear time optimality
IEEE Conference on Decision and Control and European Control Conference, 2011We develop the formal series technique for analysis of the time-optimal control problem. We introduce a concept of equivalence of symmetric control systems in the sense of time optimality. Our approach is based on the consideration of a free algebra of iterated integrals and structures induced in this algebra by control systems.
Grigory M. Sklyar +1 more
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Nonlinear time series analysis of electrocardiograms
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995In recent years there has been an increasing number of papers in the literature, applying the methods and techniques of Nonlinear Dynamics to the time series of electrical activity in normal electrocardiograms (ECGs) of various human subjects. Most of these studies are based primarily on correlation dimension estimates, and conclude that the dynamics ...
A., Bezerianos +3 more
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Set membership prediction of nonlinear time series
Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002A nonlinear prediction method based on a set membership approach is proposed. Such method does not need any assumption about the functional form of the model used for prediction, but uses only some information on its regularity. On the contrary, most of the existing prediction methods need the choice of a model structure and this choice is usually the ...
MILANESE, Mario, NOVARA, Carlo
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Modelling Nonlinear Economic Time Series
2010AbstractThis book contains a up-to-date overview of nonlinear time series models and their application to modelling economic relationships. It considers nonlinear models in stationary and nonstationary frameworks, and both parametric and nonparametric models are discussed.
Terasvirta, Timo; id_orcid 0000-0002-0947-2114 +2 more
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Nonlinear Properties of Cardiovascular Time Series
1999Nonlinear dynamics are certainly involved in tlie generation and control of cardiovascular signais. The paper presents a methodological and clinical review of nonlinear dynainic analysis in heart rate variability signals (HRV) obtained from normal subjects and pathological cases.
SIGNORINI, MARIA GABRIELLA +1 more
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