Study of system dynamics through recurrence analysis of regular windows

2021 ◽  
Vol 31 (10) ◽  
pp. 103116
Author(s):  
A. Rysak ◽  
M. Gregorczyk
Keyword(s):  
System Dynamics ◽  
Recurrence Analysis

scholarly journals The influence of the Lorenz system fractionality on its recurrensivity

2019 ◽  
Vol 252 ◽  
pp. 02006
Author(s):  
Magdalena Gregorczyk ◽  
Andrzej Rysak
Keyword(s):  
Time Series ◽  
Differential Equations ◽  
System Dynamics ◽  
Phase Diagrams ◽  
Fractional Order ◽  
Fractional Derivatives ◽  
Lorenz System ◽  
Recurrence Analysis ◽  
The Lorenz System ◽  
Fractional Orders

In this work, we investigate the recurrensivity of the Lorenz system with fractional order of derivatives occurring in its all three differential equations. Several solutions of the system for varying fractional orders of individual derivatives were calculated, which was followed by an analysis of changes in the selected recurrence quantifiers occurring due to modifications of the fractional orders {q1, q2, q3}. The results of the recurrence analysis were referred to the time series plots, phase diagrams and FFT spectra. The obtained results were finally used to examine the influence of fractional derivatives on the chaos - periodicity transition of the system dynamics.

MINOR DAMAGE DETECTION USING CHAOTIC EXCITATION AND RECURRENCE ANALYSIS

2011 ◽  
Vol 05 (03) ◽  
pp. 259-270 ◽  
Author(s):  
TADANOBU SATO ◽  
YOUHEI TANAKA
Keyword(s):  
System Dynamics ◽  
Damage Detection ◽  
Structural Damage ◽  
Vibration Response ◽  
Detection Technique ◽  
Structural Damage Detection ◽  
Recurrence Analysis ◽  
Numerical Example ◽  
Response Data

In this paper, we propose a new attractor-based structural damage detection technique using chaotic excitation. Attractor is reconstructed using vibration response data and sensitive to the change of the system dynamics. By comparing the change of attractors from healthy and damaged structures, we detect and localize the damage. We use recurrence analysis to analyze the change of attractor. Numerical example demonstrates the robustness and sensitivity of the proposed method.

Estimating of Public Evacuation Time based on System Dynamics for NPP Radioactive Leakage Accident

2018 ◽  
Vol 19 (4) ◽  
pp. 125-144
Author(s):  
Hyung Won Lee ◽  
Min Ho Cha ◽  
Chang Hoon Kim
Keyword(s):  
System Dynamics ◽  
Evacuation Time
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