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122 Results Found

  • Article
  • Open Access
7 Citations
4,927 Views
15 Pages

Magnetotelluric Signal-Noise Identification and Separation Based on ApEn-MSE and StOMP

  • Jin Li,
  • Jin Cai,
  • Yiqun Peng,
  • Xian Zhang and ,
  • Cong Zhou,
  • Guang Li and
  • Jingtian Tang
  • + 2 authors+ 0 author

19 February 2019

Natural magnetotelluric signals are extremely weak and susceptible to various types of noise pollution. To obtain more useful magnetotelluric data for further analysis and research, effective signal-noise identification and separation is critical. To...

(This article belongs to the Special Issue The 20th Anniversary of Entropy - Approximate and Sample Entropy)
  • Article
  • Open Access
55 Citations
8,242 Views
14 Pages

Entropy Analysis of Short-Term Heartbeat Interval Time Series during Regular Walking

  • Bo Shi,
  • Yudong Zhang,
  • Chaochao Yuan,
  • Shuihua Wang and
  • Peng Li

24 October 2017

Entropy measures have been extensively used to assess heart rate variability (HRV), a noninvasive marker of cardiovascular autonomic regulation. It is yet to be elucidated whether those entropy measures can sensitively respond to changes of autonomic...

(This article belongs to the Special Issue Evaluation of Systems’ Irregularity and Complexity: Sample Entropy, Its Derivatives, and Their Applications across Scales and Disciplines)
  • Article
  • Open Access
1,584 Views
12 Pages

Quantifying Hand Motion Complexity in Simulated Sailing Using Inertial Sensors

  • Gurdeep Sarai,
  • Prem Prakash Jayaraman,
  • Nilmini Wickramasinghe and
  • Oren Tirosh

19 October 2024

The control of hand movement during sailing is important for performance. To quantify the amount of regularity and the unpredictability of hand fluctuations during the task, the mathematical algorithm Approximate Entropy (ApEn) of the hand accelerati...

(This article belongs to the Special Issue Robust Motion Recognition Based on Sensor Technology)
  • Article
  • Open Access
16 Citations
5,398 Views
12 Pages

18 March 2017

Measurement of the displacement of the center-of-pressure (COP) is an important tool used in biomechanics to assess postural stability and human balance. The goal of this research was to design and validate a low-cost portable device that can offer a...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
23 Citations
5,631 Views
14 Pages

14 November 2020

Electrocardiography (ECG) and electroencephalography (EEG) signals provide clinical information relevant to determine a patient’s health status. The nonlinear analysis of ECG and EEG signals allows for discovering characteristics that could not...

(This article belongs to the Special Issue Information Theoretic Measures and Their Applications)
  • Article
  • Open Access
10 Citations
4,889 Views
21 Pages

Entropy Measures as Descriptors to Identify Apneas in Rheoencephalographic Signals

  • Carmen González,
  • Erik Jensen,
  • Pedro Gambús and
  • Montserrat Vallverdú

18 June 2019

Rheoencephalography (REG) is a simple and inexpensive technique that intends to monitor cerebral blood flow (CBF), but its ability to reflect CBF changes has not been extensively proved. Based on the hypothesis that alterations in CBF during apnea sh...

(This article belongs to the Special Issue Information Dynamics in Brain and Physiological Networks)
  • Article
  • Open Access
201 Citations
11,633 Views
12 Pages

Online Detection of Driver Fatigue Using Steering Wheel Angles for Real Driving Conditions

  • Zuojin Li,
  • Shengbo Eben Li,
  • Renjie Li,
  • Bo Cheng and
  • Jinliang Shi

2 March 2017

This paper presents a drowsiness on-line detection system for monitoring driver fatigue level under real driving conditions, based on the data of steering wheel angles (SWA) collected from sensors mounted on the steering lever. The proposed system fir...

(This article belongs to the Special Issue Sensors for Transportation)
  • Article
  • Open Access
2 Citations
2,172 Views
13 Pages

Study on the Complexity Reduction of Observed Sequences Based on Different Sampling Methods: A Case of Wind Speed Data

  • Xiaowei Huai,
  • Pengcheng Yan,
  • Li Li,
  • Zelin Cai and ,
  • Xunjian Xu and
  • Xiaohui Hu
  • + 1 author+ 0 author

23 October 2022

Many studies have confirmed that the complexity of a time sequence is closely related to its predictability, but few studies have proposed methods to reduce the time sequence complexity, which is the key to improving its predictability. This study an...

(This article belongs to the Special Issue Multi-Scale Climate Change: Recent Trends, Current Progress and Future Directions)
  • Article
  • Open Access
33 Citations
4,923 Views
10 Pages

5 August 2020

Approximate Entropy and especially Sample Entropy are recently frequently used algorithms for calculating the measure of complexity of a time series. A lesser known fact is that there are also accelerated modifications of these two algorithms, namely...

(This article belongs to the Special Issue Information Theoretic Measures and Their Applications)
  • Article
  • Open Access
25 Citations
3,720 Views
13 Pages

21 August 2020

Obstructive sleep apnea (OSA) is a fatal respiratory disease occurring in sleep. OSA can induce declined heart rate variability (HRV) and was reported to have autonomic nerve system (ANS) dysfunction. Variance delay fuzzy approximate entropy (VD_fApE...

  • Article
  • Open Access
12 Citations
4,508 Views
17 Pages

11 December 2021

Congestive heart failure (CHF) is a chronic cardiovascular condition associated with dysfunction of the autonomic nervous system (ANS). Heart rate variability (HRV) has been widely used to assess ANS. This paper proposes a new HRV analysis method, wh...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
3 Citations
3,493 Views
13 Pages

15 January 2021

Visual-motor tracking movement is a common and essential behavior in daily life. However, the contribution of future information to visual-motor tracking performance is not well understood in current research. In this study, the visual-motor tracking...

  • Article
  • Open Access
23 Citations
3,510 Views
18 Pages

18 March 2020

A novel failure prediction method of the rotating machinery is presented in this paper. Firstly, the complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) is applied to decompose the vibration signals of the rotating machinery...

(This article belongs to the Special Issue Machine Fault Diagnostics and Prognostics)
  • Article
  • Open Access
8 Citations
2,849 Views
33 Pages

9 January 2025

Approximate entropy (ApEn) and sample entropy (SampEn) are statistical indices designed to quantify the regularity or predictability of time-series data. Although ApEn has been a prominent choice in analyzing non-linear data, it is currently unclear...

(This article belongs to the Special Issue Recent Advances in Biomechanics of Human Movement and Its Clinical Applications: 2nd Edition)
  • Article
  • Open Access
4 Citations
1,896 Views
17 Pages

27 January 2023

Existing works have paid scant attention to the multivariate entropy of complex data. Thus, existing methods perform poorly in fully exposing the nature of complex data. To mine a rich vein of data features, this paper applies a shuffle and surrogate...

(This article belongs to the Section Turbomachinery)
  • Article
  • Open Access
65 Citations
8,598 Views
22 Pages

Range Entropy: A Bridge between Signal Complexity and Self-Similarity

  • Amir Omidvarnia,
  • Mostefa Mesbah,
  • Mangor Pedersen and
  • Graeme Jackson

13 December 2018

Approximate entropy (ApEn) and sample entropy (SampEn) are widely used for temporal complexity analysis of real-world phenomena. However, their relationship with the Hurst exponent as a measure of self-similarity is not widely studied. Additionally,...

  • Article
  • Open Access
1 Citations
2,758 Views
16 Pages

Self-organized criticality theory proved that information transmission and computational performances of neural networks are optimal in critical state. By using recordings of the spontaneous activity originated by dissociated neuronal assemblies coup...

(This article belongs to the Special Issue Feature Papers in Computer Science & Engineering)
  • Article
  • Open Access
5 Citations
4,861 Views
16 Pages

Analysis of Movement Entropy during Community Dance Programs for People with Parkinson’s Disease and Older Adults: A Cohort Study

  • Peter Gates,
  • Fred M. Discenzo,
  • Jin Hyun Kim,
  • Zachary Lemke and ,
  • Joan Meggitt and
  • Angela L. Ridgel
  • + 1 author+ 0 author

Dance therapy can improve motor skills, balance, posture, and gait in people diagnosed with Parkinson’s disease (PD) and healthy older adults (OA). It is not clear how specific movement patterns during dance promote these benefits. The purpose...

(This article belongs to the Special Issue Design and Development of Rehabilitation in Individuals with Parkinson’s Disease)
  • Article
  • Open Access
22 Citations
4,420 Views
19 Pages

7 November 2020

Evaluating brain function through biosignals remains challenging. Quantitative electroencephalography (qEEG) outcomes have emerged as a potential intermediate biomarker for diagnostic clarification in psychological disorders. The Test of Variables of...

  • Article
  • Open Access
33 Citations
6,354 Views
21 Pages

27 April 2023

When a conditionally automated vehicle controlled by the machine faces situations beyond the capability of the machine, the human driver is requested to take over the vehicle. This study aims to assess the short-term effects of three factors on the t...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
5 Citations
3,305 Views
14 Pages

Exploring the Hidden Complexity: Entropy Analysis in Pulse Oximetry of Female Athletes

  • Ana M. Cabanas,
  • Macarena Fuentes-Guajardo,
  • Nicolas Sáez,
  • Davidson D. Catalán and ,
  • Patricio O. Collao-Caiconte and
  • Pilar Martín-Escudero
  • + 1 author+ 0 author

19 January 2024

This study examines the relationship between physiological complexity, as measured by Approximate Entropy (ApEn) and Sample Entropy (SampEn), and fitness levels in female athletes. Our focus is on their association with maximal oxygen consumption (VO...

(This article belongs to the Section Biosensor and Bioelectronic Devices)
  • Article
  • Open Access
16 Citations
4,295 Views
18 Pages

Model Selection for Body Temperature Signal Classification Using Both Amplitude and Ordinality-Based Entropy Measures

  • David Cuesta-Frau,
  • Pau Miró-Martínez,
  • Sandra Oltra-Crespo,
  • Jorge Jordán-Núñez and ,
  • Borja Vargas,
  • Paula González and
  • Manuel Varela-Entrecanales
  • + 2 authors+ 0 author

6 November 2018

Many entropy-related methods for signal classification have been proposed and exploited successfully in the last several decades. However, it is sometimes difficult to find the optimal measure and the optimal parameter configuration for a specific pu...

(This article belongs to the Special Issue Permutation Entropy & Its Interdisciplinary Applications)
  • Article
  • Open Access
17 Citations
5,922 Views
19 Pages

Information Theory to Probe Intrapartum Fetal Heart Rate Dynamics

  • Carlos Granero-Belinchon,
  • Stéphane G. Roux,
  • Patrice Abry,
  • Muriel Doret and
  • Nicolas B. Garnier

25 November 2017

Intrapartum fetal heart rate (FHR) monitoring constitutes a reference tool in clinical practice to assess the baby’s health status and to detect fetal acidosis. It is usually analyzed by visual inspection grounded on FIGO criteria. Characterization o...

(This article belongs to the Special Issue Entropy and Cardiac Physics II)
  • Article
  • Open Access
30 Citations
5,208 Views
14 Pages

Increased Sample Entropy in EEGs During the Functional Rehabilitation of an Injured Brain

  • Qiqi Cheng,
  • Wenwei Yang,
  • Kezhou Liu,
  • Weijie Zhao and ,
  • Li Wu,
  • Ling Lei,
  • Tengfei Dong,
  • Na Hou,
  • Fan Yang and
  • Yong Yang
  • + 6 authors+ 1 author

16 July 2019

Complex nerve remodeling occurs in the injured brain area during functional rehabilitation after a brain injury; however, its mechanism has not been thoroughly elucidated. Neural remodeling can lead to changes in the electrophysiological activity, wh...

  • Article
  • Open Access
32 Citations
3,695 Views
12 Pages

Approximate Entropy of Brain Network in the Study of Hemispheric Differences

  • Francesca Alù,
  • Francesca Miraglia,
  • Alessandro Orticoni,
  • Elda Judica and ,
  • Maria Cotelli,
  • Paolo Maria Rossini and
  • Fabrizio Vecchio
  • + 2 authors+ 0 author

27 October 2020

Human brain, a dynamic complex system, can be studied with different approaches, including linear and nonlinear ones. One of the nonlinear approaches widely used in electroencephalographic (EEG) analyses is the entropy, the measurement of disorder in...

(This article belongs to the Special Issue Entropy in Brain Networks)
  • Article
  • Open Access
3 Citations
1,229 Views
21 Pages

20 October 2025

This study aims to compare different classifiers in the context of distinguishing two classes of signals: nonlinear electrocardiography (ECG) signals and stochastic artifacts occurring in ECG signals. The ECG signals from a single-lead wearable Moves...

(This article belongs to the Special Issue New Advances in Electrocardiogram (ECG) Signal Processing)
  • Article
  • Open Access
8 Citations
5,480 Views
37 Pages

23 August 2021

This work investigates elimination methods for cardiogenic artifacts in respiratory surface electromyographic (sEMG) signals and compares their performance with respect to subsequent fatigue detection with different fatigue algorithms. The analysis i...

(This article belongs to the Special Issue Sensors and Methods for the Measurement of Cardiovascular and Respiratory Systems)
  • Article
  • Open Access
13 Citations
5,326 Views
16 Pages

21 May 2018

Existing research has revealed that auditory attention can be tracked from ongoing electroencephalography (EEG) signals. The aim of this novel study was to investigate the identification of peoples’ attention to a specific auditory object from...

(This article belongs to the Special Issue Entropy Measures for Data Analysis: Theory, Algorithms and Applications)
  • Article
  • Open Access
8 Citations
5,989 Views
15 Pages

Entropy in Investigation of Vasovagal Syndrome in Passive Head Up Tilt Test

  • Katarzyna Buszko,
  • Agnieszka Piątkowska,
  • Edward Koźluk and
  • Grzegorz Opolski

20 May 2017

This paper presents an application of Approximate Entropy (ApEn) and Sample Entropy (SampEn) in the analysis of heart rhythm, blood pressure and stroke volume for the diagnosis of vasovagal syndrome. The analyzed biosignals were recorded during posit...

(This article belongs to the Special Issue Entropy and Cardiac Physics II)
  • Article
  • Open Access
65 Citations
11,955 Views
13 Pages

Analysis of EEG via Multivariate Empirical Mode Decomposition for Depth of Anesthesia Based on Sample Entropy

  • Qin Wei,
  • Quan Liu,
  • Shou-Zhen Fan,
  • Cheng-Wei Lu and ,
  • Tzu-Yu Lin,
  • Maysam F. Abbod and
  • Jiann-Shing Shieh
  • + 2 authors+ 0 author

30 August 2013

In monitoring the depth of anesthesia (DOA), the electroencephalography (EEG) signals of patients have been utilized during surgeries to diagnose their level of consciousness. Different entropy methods were applied to analyze the EEG signal and measu...

  • Article
  • Open Access
10 Citations
3,595 Views
13 Pages

ECG Approximate Entropy in the Elderly during Cycling Exercise

  • Jiun-Wei Liou,
  • Po-Shan Wang,
  • Yu-Te Wu,
  • Sheng-Kai Lee and ,
  • Shen-Da Chang and
  • Michelle Liou
  • + 1 author+ 0 author

14 July 2022

Approximate entropy (ApEn) is used as a nonlinear measure of heart-rate variability (HRV) in the analysis of ECG time-series recordings. Previous studies have reported that HRV can differentiate between frail and pre-frail people. In this study, EEGs...

(This article belongs to the Special Issue Embodied Minds: From Cognition to Artificial Intelligence)
  • Article
  • Open Access
18 Citations
2,711 Views
24 Pages

27 June 2024

Partial discharge (PD) fault diagnosis is of great importance for ensuring the safe and stable operation of power transformers. To address the issues of low accuracy in traditional PD fault diagnostic methods, this paper proposes a novel method for t...

(This article belongs to the Section Signal and Data Analysis)
  • Feature Paper
  • Article
  • Open Access
120 Citations
7,537 Views
13 Pages

3 January 2018

Alzheimer’s disease (AD) is the most prevalent form of dementia in the world, which is characterised by the loss of neurones and the build-up of plaques in the brain, causing progressive symptoms of memory loss and confusion. Although definite diagno...

(This article belongs to the Special Issue Evaluation of Systems’ Irregularity and Complexity: Sample Entropy, Its Derivatives, and Their Applications across Scales and Disciplines)
  • Article
  • Open Access
6 Citations
4,487 Views
21 Pages

8 November 2017

In the diagnosis of neurological diseases and assessment of brain function, entropy measures for quantifying electroencephalogram (EEG) signals are attracting ever-increasing attention worldwide. However, some entropy measures, such as approximate en...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
24 Citations
5,823 Views
16 Pages

20 September 2021

The global economy is under great shock again in 2020 due to the COVID-19 pandemic; it has not been long since the global financial crisis in 2008. Therefore, we investigate the evolution of the complexity of the cryptocurrency market and analyze the...

(This article belongs to the Special Issue Modeling and Forecasting of Rare and Extreme Events)
  • Article
  • Open Access
28 Citations
4,244 Views
18 Pages

17 September 2020

To eliminate the influence of white noise in partial discharge (PD) detection, we propose a novel method based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) and approximate entropy (ApEn). By introducing adaptive noi...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
15 Citations
6,047 Views
19 Pages

Associations between Neurocardiovascular Signal Entropy and Physical Frailty

  • Silvin P. Knight,
  • Louise Newman,
  • John D. O’Connor,
  • James Davis and ,
  • Rose Anne Kenny and
  • Roman Romero-Ortuno
  • + 1 author+ 0 author

22 December 2020

In this cross-sectional study, the relationship between noninvasively measured neurocardiovascular signal entropy and physical frailty was explored in a sample of community-dwelling older adults from The Irish Longitudinal Study on Ageing (TILDA). Th...

(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
  • Communication
  • Open Access
4 Citations
3,385 Views
7 Pages

The Effects of Functional Ankle Taping on Postural Stability in Elite Judo Players

  • Moonseok Kwon,
  • Seongyeol Lee,
  • Jaewoo Lee,
  • Ayoon Lee and
  • Hyokeun Lee

25 October 2022

The purpose of this study was to investigate the effect of ankle taping intervention on postural stability in elite Judo players. A total of twenty-two elite Judo players participated in this study. For biomechanical evaluation of postural stability,...

(This article belongs to the Special Issue Applied Biomechanics: Sport Performance and Injury Prevention II)
  • Article
  • Open Access
2 Citations
6,934 Views
18 Pages

Analysis of Neural Oscillations on Drosophila’s Subesophageal Ganglion Based on Approximate Entropy

  • Tian Mei,
  • Jingda Qiao,
  • Yi Zhou,
  • Huaiyu Gu and ,
  • Ziyi Chen,
  • Xianghua Tian and
  • Kuiying Gu
  • + 2 authors+ 0 author

10 October 2015

The suboesophageal ganglion (SOG), which connects to both central and peripheral nerves, is the primary taste-processing center in the Drosophila’s brain. The neural oscillation in this center may be of great research value yet it is rarely reported....

(This article belongs to the Special Issue Recent Advances in Information Theory Application to Physiological Signals)
  • Article
  • Open Access
21 Citations
5,565 Views
12 Pages

Effects of Motor Task Difficulty on Postural Control Complexity during Dual Tasks in Young Adults: A Nonlinear Approach

  • Marina Saraiva,
  • João Paulo Vilas-Boas,
  • Orlando J. Fernandes and
  • Maria António Castro

5 January 2023

Few studies have evaluated the effect of a secondary motor task on the standing posture based on nonlinear analysis. However, it is helpful to extract information related to the complexity, stability, and adaptability to the environment of the human...

(This article belongs to the Special Issue Advances in Sensors Development and Computer Science: Contributing to Neuromuscular Coordination in Human Movement)
  • Article
  • Open Access
11 Citations
5,406 Views
13 Pages

Standing Posture in Motor and Cognitive Dual-Tasks during Smartphone Use: Linear and Nonlinear Analysis of Postural Control

  • Marina Saraiva,
  • Orlando J. Fernandes,
  • João Paulo Vilas-Boas and
  • Maria António Castro

Analysis of the center of pressure (CoP) during cognitive or motor dual-tasking is widely used to characterize postural control. Most studies use traditional measures of CoP to quantify postural control, but given its complexity, nonlinear analysis o...

(This article belongs to the Special Issue European Journal of Investigation in Health, Psychology and Education: 10th Anniversary)
  • Article
  • Open Access
5 Citations
2,249 Views
11 Pages

Comparison of Mean Values and Entropy in Accelerometry Time Series from Two Microtechnology Sensors Recorded at 100 vs. 1000 Hz During Cumulative Tackles in Young Elite Rugby League Players

  • Bruno Fernández-Valdés,
  • Ben Jones,
  • Sharief Hendricks,
  • Dan Weaving and ,
  • Carlos Ramirez-Lopez,
  • Sarah Whitehead,
  • Víctor Toro-Román,
  • Michela Trabucchi and
  • Gerard Moras
  • + 4 authors+ 0 author

11 December 2024

Several microtechnology devices quantify the external load of team sports using Global Positioning Systems sampling at 5, 10, or 15 Hz. However, for short, explosive actions, such as collisions, these sample rates may be limiting. It is known that ve...

(This article belongs to the Special Issue Sensor Techniques and Methods for Sports Science)
  • Brief Report
  • Open Access
1 Citations
603 Views
13 Pages

18 April 2026

Nonlinear analysis provides a framework for understanding the complexity and stability of human locomotion by capturing dynamic patterns beyond linear methods. This study examined the effect of data length on seven nonlinear measures: Sample Entropy...

  • Article
  • Open Access
309 Views
20 Pages

GPS-Derived Spatial–Temporal Metrics for Characterizing Collective Tactical Behavior in Elite Rugby Union

  • Carmen M. E. Colomer,
  • Timothy Newans,
  • Andrew J. McKune,
  • Benjamin G. Serpell and
  • David B. Pyne

16 September 2026

Spatial–temporal metrics offer a promising framework for quantifying collective tactical behavior in rugby union, yet their application across multiple matches and try-scoring contexts remains limited. Building on a single-match case study intr...

(This article belongs to the Special Issue Innovation in Sports and Exercise Performance)
  • Article
  • Open Access
7 Citations
2,435 Views
12 Pages

Can Respiration Complexity Help the Diagnosis of Disorders of Consciousness in Rehabilitation?

  • Piergiuseppe Liuzzi,
  • Antonello Grippo,
  • Francesca Draghi,
  • Bahia Hakiki and ,
  • Claudio Macchi,
  • Francesca Cecchi and
  • Andrea Mannini
  • + 2 authors+ 0 author

Background: Autonomic Nervous System (ANS) activity, as cardiac, respiratory and electrodermal activity, has been shown to provide specific information on different consciousness states. Respiration rates (RRs) are considered indicators of ANS activi...

(This article belongs to the Section Pathology and Molecular Diagnostics)
  • Article
  • Open Access
138 Views
23 Pages

Tracking the Evolving Complexity of the U.S. Transportation Services Index: A Segmented Multiresolution Wavelet Entropy Analysis

  • Houda Chamakhi,
  • Hanen Teka,
  • Saoussen Kouki,
  • Nadia Selmi and ,
  • Latifa Abdullah Almusfar,
  • Ahmad Ali Algarni,
  • Bashair Althani and
  • Moneerah Abdulhameed Alboulayan
  • + 3 authors+ 0 author

22 October 2026

Aggregate economic and infrastructural indicators often display nonlinear dynamics and structural shifts which cannot be adequately defined by conventional trend and volatility measurements. This study presents a segmented multiresolution entropy fra...

(This article belongs to the Topic Dynamics Modeling, Chaos Theories and Nonlinear Control of Complex Systems: Complexity and AI-Driven to Hybrid and Distributed Computing Approaches)
  • Article
  • Open Access
8 Citations
2,538 Views
12 Pages

9 May 2022

Work is needed to better understand the control of knee movement and knee health. Specifically, work is needed to further understand knee muscle force control variability and complexity and how it is organized on both sides of the body. The purpose o...

(This article belongs to the Special Issue New Trends in Neuromechanics and Motor Rehabilitation)
  • Article
  • Open Access
7 Citations
1,952 Views
15 Pages

24 February 2025

Digital twins in vehicle-in-the-loop (VIL) test has great practical significance for the functional development, testing and evaluation of intelligent vehicle. The study about the credibility assessment of dynamically evolving models still lacks effe...

(This article belongs to the Special Issue Recent Advances in Intelligent Vehicles and Intelligent Transportation Systems)
  • Article
  • Open Access
26 Citations
3,294 Views
19 Pages

Dynamical Analysis of a New Chaotic Fractional Discrete-Time System and Its Control

  • A. Othman Almatroud,
  • Amina-Aicha Khennaoui,
  • Adel Ouannas,
  • Giuseppe Grassi and ,
  • M. Mossa Al-sawalha and
  • Ahlem Gasri
  • + 1 author+ 0 author

27 November 2020

This article proposes a new fractional-order discrete-time chaotic system, without equilibria, included two quadratic nonlinearities terms. The dynamics of this system were experimentally investigated via bifurcation diagrams and largest Lyapunov exp...

(This article belongs to the Special Issue Dynamical Systems, Differential Equations and Applications)
  • Article
  • Open Access
16 Citations
6,265 Views
18 Pages

Symplectic Entropy as a Novel Measure for Complex Systems

  • Min Lei,
  • Guang Meng,
  • Wenming Zhang,
  • Joshua Wade and
  • Nilanjan Sarkar

17 November 2016

Real systems are often complex, nonlinear, and noisy in various fields, including mathematics, natural science, and social science. We present the symplectic entropy (SymEn) measure as well as an analysis method based on SymEn to estimate the nonline...

(This article belongs to the Section Complexity)

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