A holistic approach to study the temporal variability in gait

P Federolf, K Tecante, B Nigg - Journal of biomechanics, 2012 - Elsevier
Movement variability has become an important field of research and has been studied to
gain a better understanding of the neuro-muscular control of human movements. In addition …

Noise robust estimates of the largest Lyapunov exponent

HF Liu, ZH Dai, WF Li, X Gong, ZH Yu - Physics Letters A, 2005 - Elsevier
A first-order correction of the exponential divergence of trajectories in state space of a
chaotic time series with noise was proposed. We demonstrated the performance for various …

A method for the correlation dimension estimation for on-line condition monitoring of large rotating machinery

A Rolo-Naranjo, ME Montesino-Otero - Mechanical Systems and Signal …, 2005 - Elsevier
In this paper, we introduce a robust method for the correlation dimension estimation in an
automatic way for its implementation in on-line condition monitoring of large rotating …

First and second order non-equilibrium phase transition and evidence for non-extensive Tsallis statistics in Earth's magnetosphere

GP Pavlos, AC Iliopoulos, VG Tsoutsouras… - Physica A: Statistical …, 2011 - Elsevier
In this paper strong evidence is provided for significant far from equilibrium phase transition
processes in the Earth's magnetosphere as revealed by the nonlinear analysis of in situ …

Symplectic principal component analysis: a new method for time series analysis

M Lei, G Meng - Mathematical Problems in Engineering, 2011 - Wiley Online Library
Experimental data are often very complex since the underlying dynamical system may be
unknown and the data may heavily be corrupted by noise. It is a crucial task to properly …

KAOTİK ZAMAN SERİSİNİN ANALİZİ ÜZERİNE BİR ARAŞTIRMA

D Yılmaz, N Güler - Gazi Üniversitesi Mühendislik Mimarlık …, 2006 - dergipark.org.tr
Bu güne kadar yapılan çalışmalarda, dinamik sistemler doğrusal ve/veya doğrusal olmayan
metotlar kullanılarak incelenmişlerdir. Kararlı doğrusal sistemler için kullanılan doğrusal …

[图书][B] Leben wir in einer immer komplexer werdenden Welt?: Methoden der Komplexitätsmessung für die Wirtschaftswissenschaft

G Strunk - 2019 - books.google.com
Komplexität scheint eines der zentralen Modeworte der letzten Jahre zu sein. Über vier
Millionen Mal findet sich die Behauptung, dass wir es in verschiedenen Lebensbereichen …

SVD analysis of the magnetospheric AE index time series and comparison with low-dimensional chaotic dynamics

MA Athanasiu, GP Pavlos - Nonlinear processes in geophysics, 2001 - npg.copernicus.org
The singular value decomposition (SVD) analysis is used at different stages in this paper in
order to extract useful information concerning the underlying dynamics of the …

On the influence of noise on the coexistence of chaotic attractors

J Argyris, I Andreadis - Chaos, Solitons & Fractals, 2000 - Elsevier
In this paper, we study the influence of noise on a mathematical model which contains the
coexistence of chaotic attractors. In particular, application to the case of a coexistence of a …

Comments and new results about the magnetospheric chaos hypothesis

GP Pavlos, MA Athanasiu, D Diamantidis… - Nonlinear Processes …, 1999 - npg.copernicus.org
In this study we present theoretical concepts and results concerning the hypothesis test of
the magnetospheric chaos. For this reason we compare the observational behavior of the …