Detection of a Nonlinear Oscillator Underlying Experimental Time Series: The Sunspot Cycle

2001 ◽  
pp. 453-473
Author(s):  
Milan Paluš
Keyword(s):  
Time Series ◽  
Nonlinear Oscillator ◽  
Sunspot Cycle ◽  
Experimental Time ◽  
Experimental Time Series

Characterising experimental time series using local intrinsic dimension

1995 ◽  
Vol 202 (2-3) ◽  
pp. 183-190 ◽  
Author(s):  
Thorsten M. Buzug ◽  
Jens von Stamm ◽  
Gerd Pfister
Keyword(s):  
Time Series ◽  
Intrinsic Dimension ◽  
Experimental Time ◽  
Experimental Time Series

scholarly journals Identification of Phase-Locked Loop System from Its Experimental Time Series

2021 ◽  
pp. 1-1
Author(s):  
Mikhail A. Mishchenko ◽  
Denis I. Bolshakov ◽  
Alexander S. Vasin ◽  
Valery V. Matrosov ◽  
Ilya V. Sysoev
Keyword(s):  
Time Series ◽  
Phase Locked Loop ◽  
Loop System ◽  
Experimental Time ◽  
Experimental Time Series

scholarly journals Transient dynamic phenotypes as criteria for model discrimination: fold-change detection in Rhodobacter sphaeroides chemotaxis

2013 ◽  
Vol 10 (80) ◽  
pp. 20120935 ◽  
Author(s):  
Abdullah Hamadeh ◽  
Brian Ingalls ◽  
Eduardo Sontag
Keyword(s):  
Time Series ◽  
Change Detection ◽  
Rhodobacter Sphaeroides ◽  
Time Series Data ◽  
Series Data ◽  
Transient Dynamic ◽  
Experimental Time ◽  
Theoretical Assumptions ◽  
Experimental Time Series ◽  
Fold Change Detection

The chemotaxis pathway of the bacterium Rhodobacter sphaeroides shares many similarities with that of Escherichia coli . It exhibits robust adaptation and has several homologues of the latter's chemotaxis proteins. Recent theoretical results have correctly predicted that the E. coli output behaviour is unchanged under scaling of its ligand input signal; this property is known as fold-change detection (FCD). In the light of recent experimental results suggesting that R. sphaeroides may also show FCD, we present theoretical assumptions on the R. sphaeroides chemosensory dynamics that can be shown to yield FCD behaviour. Furthermore, it is shown that these assumptions make FCD a property of this system that is robust to structural and parametric variations in the chemotaxis pathway, in agreement with experimental results. We construct and examine models of the full chemotaxis pathway that satisfy these assumptions and reproduce experimental time-series data from earlier studies. We then propose experiments in which models satisfying our theoretical assumptions predict robust FCD behaviour where earlier models do not. In this way, we illustrate how transient dynamic phenotypes such as FCD can be used for the purposes of discriminating between models that reproduce the same experimental time-series data.

LSTM Processing of Experimental Time Series with Varied Quality

2021 ◽  
pp. 581-593
Author(s):  
Krzysztof Podlaski ◽  
Michał Durka ◽  
Tomasz Gwizdałła ◽  
Alicja Miniak-Górecka ◽  
Krzysztof Fortuniak ◽  
...  
Keyword(s):  
Time Series ◽  
Experimental Time ◽  
Experimental Time Series

Finding Unstable Fixed Points From Time Series Data

2003 ◽  
Author(s):  
Takaaki Maehara ◽  
Mikio Nakai
Keyword(s):  
Time Series ◽  
Fixed Points ◽  
Time Series Data ◽  
Piecewise Linear ◽  
Duffing Oscillator ◽  
Conley Index ◽  
Series Data ◽  
Experimental Time ◽  
Index Pairs ◽  
Experimental Time Series

This study employs topological methods to extract unstable fixed points in phase space from both numerical and experimental time series data. Conley index of an isolated invariant subset and the R-B method can determine unstable fixed points contained in strange attractor from numerical time series data. For experimental time series data, the theorem for the relationship between index pairs and Conley index enables one to predict them with acceptable accuracy. As a corollary, some results for Duffing oscillator and piecewise linear system are shown.

scholarly journals Comparison of Co-temporal Modeling Algorithms on Sparse Experimental Time Series Data Sets

2010 ◽  
Author(s):  
Edward E. Allen ◽  
James L. Norris ◽  
David J. John ◽  
Stan J. Thomas ◽  
William H. Turkett Jr. ◽  
...  
Keyword(s):  
Time Series ◽  
Time Series Data ◽  
Series Data ◽  
Data Sets ◽  
Temporal Modeling ◽  
Experimental Time ◽  
Experimental Time Series
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