Lyapunov exponent using Euler’s algorithm with applications in optimization problems [PDF]
The difference and differential equations have played an eminent part in nonlinear dynamics systems, but in the last two decades one-dimensional difference maps are considered in the forefront of nonlinear systems and the optimization of ...
Ashish +4 more
doaj +1 more source
Time Series Analysis Process of Dynamic Data in Internet of Things System
Abstract Time series analysis is a dynamic data analysis and processing method. The biggest characteristic of time series analysis is that the successive observations are not independent. When the observation series are correlated, the autocorrelation between the observation data can be used to establish the dynamic model of the data ...
openaire +1 more source
Spurious Results of Fluctuation Analysis Techniques in Magnitude and Sign Correlations
Fluctuation Analysis (FA) and specially Detrended Fluctuation Analysis (DFA) are techniques commonly used to quantify correlations and scaling properties of complex time series such as the observable outputs of great variety of dynamical systems, from ...
Pedro Carpena +4 more
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A Novel Method for Detection of Epilepsy in Short and Noisy EEG Signals Using Ordinal Pattern Analysis [PDF]
Introduction: In this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system.
Iman Veisi +3 more
doaj +1 more source
The frequency of pattern occurrence in random walks [PDF]
In the past decade, the use of ordinal patterns in the analysis of time series and dynamical systems has become an important tool. Ordinal patterns (otherwise known as a permutation patterns) are found in time series by taking $n$ data points at evenly ...
Sergi Elizalde, Megan Martinez
doaj +1 more source
Recurrence networks - A novel paradigm for nonlinear time series analysis [PDF]
This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency matrix of an ...
Donges, Jonathan F. +4 more
core +2 more sources
A major tenet in theoretical neuroscience is that cognitive and behavioral processes are ultimately implemented in terms of the neural system dynamics.
Georgia Koppe +4 more
doaj +1 more source
NoLiTiA: An Open-Source Toolbox for Non-linear Time Series Analysis
In many scientific fields including neuroscience, climatology or physics, complex relationships can be described most parsimoniously by non-linear mechanics.
Immo Weber +2 more
doaj +1 more source
Combining global and multi-scale features in a description of the solar wind-magnetosphere coupling [PDF]
The solar wind-magnetosphere coupling during substorms exhibits dynamical features in a wide range of spatial and temporal scales. The goal of our work is to combine the global and multi-scale description of magnetospheric dynamics in a unified ...
A. Y. Ukhorskiy +4 more
doaj +1 more source
Entropy Analysis of High-Definition Transcranial Electric Stimulation Effects on EEG Dynamics
A foundation of medical research is time series analysis—the behavior of variables of interest with respect to time. Time series data are often analyzed using the mean, with statistical tests applied to mean differences, and has the assumption that
Diego C. Nascimento +7 more
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