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50,579 Results Found

  • Article
  • Open Access
11 Citations
4,529 Views
21 Pages

10 March 2021

Detection of the temporal reversibility of a given process is an interesting time series analysis scheme that enables the useful characterisation of processes and offers an insight into the underlying processes generating the time series. Reversibili...

(This article belongs to the Special Issue Information Transfer, Entropy Production, Irreversibility and Time Series Analysis)
  • Article
  • Open Access
10 Citations
5,209 Views
16 Pages

Complexity Analysis of Global Temperature Time Series

  • António M. Lopes and
  • J. A. Tenreiro Machado

5 June 2018

Climate has complex dynamics due to the plethora of phenomena underlying its evolution. These characteristics pose challenges to conducting solid quantitative analysis and reaching assertive conclusions. In this paper, the global temperature time ser...

(This article belongs to the Special Issue Power Law Behaviour in Complex Systems)
  • Article
  • Open Access
15 Citations
6,899 Views
20 Pages

20 April 2017

Natural time is a new time domain introduced in 2001. The analysis of time series associated with a complex system in natural time may provide useful information and may reveal properties that are usually hidden when studying the system in convention...

(This article belongs to the Special Issue Complex Systems, Non-Equilibrium Dynamics and Self-Organisation)
  • Feature Paper
  • Article
  • Open Access
5 Citations
3,047 Views
31 Pages

3 April 2025

Small, forested catchments are prototypes of terrestrial ecosystems and have been studied in several disciplines of environmental science over several decades. Time series of water and matter fluxes and nutrient concentrations from these systems exhi...

(This article belongs to the Special Issue Nonlinear Dynamics and Applications—In Honor of Professor Osvaldo Anibal Rosso's 70th Birthday)
  • Article
  • Open Access
75 Citations
12,239 Views
14 Pages

Increment Entropy as a Measure of Complexity for Time Series

  • Xiaofeng Liu,
  • Aimin Jiang,
  • Ning Xu and
  • Jianru Xue

8 January 2016

Entropy has been a common index to quantify the complexity of time series in a variety of fields. Here, we introduce an increment entropy to measure the complexity of time series in which each increment is mapped onto a word of two letters, one corre...

(This article belongs to the Special Issue Complex and Fractional Dynamics)
  • Article
  • Open Access
496 Views
49 Pages

Time Series Correlations and Kolmogorov Complexity: A Hausdorff Dimension Perspective

  • Boumediene Hamzi,
  • Marianne Clausel,
  • Kamal Dingle,
  • Marcus Hutter and
  • Mohammed Terry Jack

16 July 2026

Spurious correlations between time series are a persistent problem: simple, low-complexity patterns are abundant, so unrelated series can easily exhibit high Pearson correlation. We argue that Kolmogorov complexity—a series’ resistance to...

(This article belongs to the Special Issue Kolmogorov Complexity and Applications—Dedicated to Professor Paul Vitanyi on the Occasion of His 80th Birthday)
  • Article
  • Open Access
8 Citations
3,936 Views
34 Pages

Quadrotor Real-Time Simulation: A Temporary Computational Complexity-Based Approach

  • Gustavo Delgado-Reyes,
  • Jorge Salvador Valdez-Martínez,
  • Miguel Ángel Hernández-Pérez,
  • Karina Ruby Pérez-Daniel and
  • Pedro Javier García-Ramírez

12 June 2022

The interaction of digital systems with dynamic systems requires synchrony and the accomplishment of time constrains, so the simulation of physical processes needs an implementation by means of real-time systems (RTS). However, as it can be expected,...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
30 Citations
2,994 Views
5 Pages

Dependence of Reaction Time and Movement Speed on Task Complexity and Age

  • Tomas Darbutas,
  • Vilma Juodžbalienė,
  • Albertas Skurvydas and
  • Aleksandras Kriščiūnas

5 February 2013

The aim of this study was to determine the differences in reaction time, reaction complexity, and movement speed depending on age.

Material and Methods
. The study included 40 healthy subjects (20 young and 20 older women and men). The study was condu...

  • Article
  • Open Access
3 Citations
3,063 Views
16 Pages

Kolmogorov Complexity Analysis and Prediction Horizon of the Daily Erythemal Dose Time Series

  • Slavica Malinović-Milićević,
  • Anja Mihailović and
  • Dragutin T. Mihailović

Influenced by stratospheric total ozone column (TOC), cloud cover, aerosols, albedo, and other factors, levels of daily erythemal dose (Her) in a specific geographic region show significant variability in time and space. To investigate the degree of...

(This article belongs to the Section Biosphere/Hydrosphere/Land–Atmosphere Interactions)
  • Article
  • Open Access
7 Citations
4,836 Views
13 Pages

Low-Complexity Time-Domain Ranging Algorithm with FMCW Sensors

  • Xi Pan,
  • Chengyong Xiang,
  • Shouliang Liu and
  • Shuo Yan

19 July 2019

A time-domain ranging algorithm is proposed for a frequency-modulated continuous wave (FMCW) short-range radar sensor with high accuracy and low complexity. The proposed algorithm estimates the distance by calculating the ratio of the beat frequency...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
13 Citations
6,215 Views
14 Pages

19 October 2021

This paper investigated the effect of task complexity on time estimation in the virtual reality environment (VRE) using behavioral, subjective, and physiological measurements. Virtual reality (VR) is not a perfect copy of the real world, and individu...

  • Article
  • Open Access
16 Citations
5,767 Views
19 Pages

6 April 2017

Measurement of time series complexity and predictability is sometimes the cornerstone for proposing solutions to topology and congestion control problems in sensor networks. As a method of measuring time series complexity and predictability, multisca...

(This article belongs to the Special Issue Topology Control in Emerging Sensor Networks)
  • Article
  • Open Access
2 Citations
2,810 Views
13 Pages

Independent Roman Domination: The Complexity and Linear-Time Algorithm for Trees

  • Zhixing Duan,
  • Huiqin Jiang,
  • Xinyue Liu,
  • Pu Wu and
  • Zehui Shao

18 February 2022

For a graph G=(V,E), an independent Roman dominating function (IRDF) is a function f:V→{0,1,2} having the property that: (1) every vertex assigned a value of 0 is adjacent to at least one vertex assigned a value of 2, (2) there are no two adjace...

  • Article
  • Open Access
7 Citations
2,575 Views
18 Pages

16 June 2023

In principle, modular or integral character of manufacturing lines depends on the topological designs of products and determined operation tasks. On the other hand, in specific situations there is an articulated need for modular design in smart manuf...

(This article belongs to the Special Issue Algorithms and Methods for Designing and Scheduling Smart Manufacturing Systems Volume II)
  • Proceeding Paper
  • Open Access
1 Citations
2,026 Views
10 Pages

Simplicity vs. Complexity in Time Series Forecasting: A Comparative Study of iTransformer Variants

  • Polycarp Shizawaliyi Yakoi,
  • Xiangfu Meng,
  • Danladi Suleman,
  • Adeleye Idowu,
  • Victor Adeyi Odeh and
  • Chunlin Yu

This study re-examines the balance between architectural intricacy and generalization in Transformer models for long-term time series predictions. We perform a systematic comparison involving a lightweight baseline (iTransformer) and two enhanced ver...

(This article belongs to the Proceedings of The 11th International Conference on Time Series and Forecasting)
  • Article
  • Open Access
4 Citations
3,592 Views
15 Pages

17 June 2024

Due to its capacity to unveil the dynamic characteristics of time series data, entropy has attracted growing interest. However, traditional entropy feature extraction methods, such as permutation entropy, fall short in concurrently considering both t...

(This article belongs to the Special Issue Ordinal Pattern-Based Entropies: New Ideas and Challenges)
  • Article
  • Open Access
11 Citations
5,526 Views
11 Pages

Fisher–Shannon Complexity Analysis of High-Frequency Urban Wind Speed Time Series

  • Fabian Guignard,
  • Dasaraden Mauree,
  • Michele Lovallo,
  • Mikhail Kanevski and
  • Luciano Telesca

10 January 2019

One-hertz wind time series recorded at different levels (from 1.5–25.5 m) in an urban area are investigated by using the Fisher–Shannon (FS) analysis. FS analysis is a well-known method to gain insight into the complex behavior of nonline...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
4 Citations
3,685 Views
17 Pages

22 December 2023

Free route airspace allows airspace users to freely plan a route in en-route airspaces within certain restrictions. It is anticipated to offer the benefit of fuel saving and operational flexibility. Regarding its efficient implementation into the ASE...

(This article belongs to the Collection Air Transportation—Operations and Management)
  • Article
  • Open Access
19 Citations
3,475 Views
13 Pages

4 November 2019

Extracting effective features from ship-radiated noise is an important way to improve the detection and recognition performance of passive sonar. Complexity features of ship-radiated noise have attracted increasing amounts of attention. However, the...

(This article belongs to the Special Issue Entropy and Information Theory in Acoustics)
  • Article
  • Open Access
1 Citations
1,880 Views
25 Pages

Real-time Global Navigation Satellite System (GNSS) deformation monitoring is crucial for structural safety but is challenged by long-term, high-amplitude noise and trend-like anomalies. To address these issues, we propose a low-complexity forward&nd...

(This article belongs to the Section Microwave and Wireless Communications)
  • Article
  • Open Access
5 Citations
828 Views
23 Pages

Nonlinear Dynamics of Discrete-Time Model for Computer Virus Propagation: Chaos, Complexity, Stabilization and Synchronization

  • Ali Aloui,
  • Imane Zouak,
  • Omar Kahouli,
  • Adel Ouannas,
  • Lilia El Amraoui and
  • Mohamed Ayari

17 November 2025

This paper investigates a discrete-time compartmental model for computer virus propagation. The model classifies computers into susceptible, latent, and breaking-out states, with nonlinear dynamics driven by infection, recovery, and breakout processe...

(This article belongs to the Special Issue Recent Advances in Nonlinear Control Theory and System Dynamics)
  • Article
  • Open Access
392 Views
19 Pages

Low Earth orbit (LEO) satellites are increasingly required to process and securely stream video data for remote sensing, surveillance, and onboard perception applications. However, the strict constraints of onboard computing capability, power budget,...

(This article belongs to the Special Issue AI-Enabled Space Communications)
  • Article
  • Open Access
41 Citations
5,186 Views
12 Pages

The Complexity Measures Associated with the Fluctuations of the Entropy in Natural Time before the Deadly México M8.2 Earthquake on 7 September 2017

  • Alejandro Ramírez-Rojas,
  • Elsa Leticia Flores-Márquez,
  • Nicholas V. Sarlis and
  • Panayiotis A. Varotsos

20 June 2018

We analyse seismicity during the 6-year period 2012–2017 in the new time domain termed natural time in the Chiapas region where the M8.2 earthquake occurred, Mexico’s largest earthquake in more than a century, in order to study the comple...

(This article belongs to the Special Issue Entropy, Nonlinear Dynamics, and Methods of Complex Systems in Earthquake Physics including Precursory Phenomena)
  • Article
  • Open Access
27 Citations
5,506 Views
20 Pages

Multiscale Entropy Algorithms to Analyze Complexity and Variability of Trunk Accelerations Time Series in Subjects with Parkinson’s Disease

  • Stefano Filippo Castiglia,
  • Dante Trabassi,
  • Carmela Conte,
  • Alberto Ranavolo,
  • Gianluca Coppola,
  • Gabriele Sebastianelli,
  • Chiara Abagnale,
  • Francesca Barone,
  • Federico Bighiani and
  • Mariano Serrao
  • + 2 authors

22 May 2023

The aim of this study was to assess the ability of multiscale sample entropy (MSE), refined composite multiscale entropy (RCMSE), and complexity index (CI) to characterize gait complexity through trunk acceleration patterns in subjects with Parkinson...

(This article belongs to the Special Issue Recent Advance and Application of Wearable Inertial Sensors in Motion Analysis)
  • Article
  • Open Access
746 Views
23 Pages

18 July 2026

This paper proposes a lightweight vital-sign detection framework based on Frequency-Modulated Continuous Wave (FMCW) radar. By integrating time-domain complex differencing and adaptive trend reconstruction, the proposed framework mitigates distortion...

(This article belongs to the Special Issue Recent Advances in Digital Signal Processing for Engineering Applications)
  • Article
  • Open Access
48 Citations
3,997 Views
17 Pages

Slope entropy (SlEn) is a time series complexity indicator proposed in recent years, which has shown excellent performance in the fields of medical and hydroacoustics. In order to improve the ability of SlEn to distinguish different types of signals...

(This article belongs to the Special Issue Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus)
  • Article
  • Open Access
6 Citations
4,132 Views
25 Pages

17 October 2020

This paper presents a new and novel hybrid modeling method for the segmentation of high dimensional time-series data using the mixture of the sparse principal components regression (MIX-SPCR) model with information complexity (ICOMP) criterion as the...

(This article belongs to the Special Issue Big Data Analytics and Information Science for Business and Biomedical Applications)
  • Feature Paper
  • Article
  • Open Access
3 Citations
1,717 Views
23 Pages

24 September 2025

The paper considers the problem of detecting and classifying acoustic signals based on information (entropy) criteria. A number of new information features based on time-frequency distributions are proposed, which include the spectrogram and its upgr...

(This article belongs to the Special Issue Complexity, Entropy and the Physics of Information, 2nd Edition)
  • Article
  • Open Access
7 Citations
1,377 Views
36 Pages

FEGW-YOLO: A Feature-Complexity-Guided Lightweight Framework for Real-Time Multi-Crop Detection with Advanced Sensing Integration on Edge Devices

  • Yaojiang Liu,
  • Hongjun Tian,
  • Yijie Yin,
  • Yuhan Zhou,
  • Wei Li,
  • Yang Xiong,
  • Yichen Wang,
  • Zinan Nie,
  • Yang Yang and
  • Shijie Huang
  • + 1 author

18 February 2026

Real-time object detection on resource-constrained edge devices remains a critical challenge in precision agriculture and autonomous systems, particularly when integrating advanced multi-modal sensors (RGB-D, thermal, hyperspectral). This paper intro...

(This article belongs to the Special Issue Real-Time Object Detection and Classification Using Advanced Sensing Techniques)
  • Article
  • Open Access
2 Citations
2,531 Views
14 Pages

Impulsive Pinning Control of Discrete-Time Complex Networks with Time-Varying Connections

  • Daniel Ríos-Rivera,
  • Jorge D. Rios,
  • Oscar D. Sanchez and
  • Alma Y. Alanis

1 November 2022

Complex dynamical networks with time-varying connections have characteristics that allow a better representation of real-world complex systems, especially interest in their not static behavior and topology. Their applications reach areas such as comm...

(This article belongs to the Special Issue Bioinspired Intelligent Algorithms for Optimization, Modeling and Control: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
28 Citations
3,969 Views
17 Pages

Complex Noise-Resistant Zeroing Neural Network for Computing Complex Time-Dependent Lyapunov Equation

  • Bolin Liao,
  • Cheng Hua,
  • Xinwei Cao,
  • Vasilios N. Katsikis and
  • Shuai Li

8 August 2022

Complex time-dependent Lyapunov equation (CTDLE), as an important means of stability analysis of control systems, has been extensively employed in mathematics and engineering application fields. Recursive neural networks (RNNs) have been reported as...

  • Article
  • Open Access
3 Citations
5,980 Views
34 Pages

11 September 2013

Existing algorithms for learning Boolean networks (BNs) have time complexities of at least O(N · n0:7(k+1)), where n is the number of variables, N is the number of samples and k is the number of inputs in Boolean functions. Some recent studies propos...

  • Review
  • Open Access
1,485 Views
67 Pages

An Overview of Complex Time Series Analysis

  • Alejandro Ramírez-Rojas,
  • Leonardo Di G. Sigalotti,
  • Luciano Telesca and
  • Fidel Cruz

7 April 2026

Different methodologies have been developed for the analysis and study of dynamical systems, including both theoretical models and natural systems. Examples span a wide range of applications, such as astronomy, financial and economic time series, bio...

(This article belongs to the Special Issue Recent Advances in Time Series Analysis, 2nd Edition)
  • Article
  • Open Access
4 Citations
1,877 Views
18 Pages

2 September 2023

Instead of the separation approach, this paper mainly centers on studying the fixed/preassigned-time (FXT/PAT) synchronization of a type of complex-valued stochastic fuzzy cellular neural networks (CVSFCNNs) with time delay based on the direct method...

(This article belongs to the Special Issue Advances and Application of Fuzzy Sets, Decision Making and Soft Computing)
  • Article
  • Open Access
6 Citations
2,200 Views
24 Pages

7 January 2024

This article investigates finite-time passivity for fuzzy inertial complex-valued neural networks (FICVNNs) with time-varying delays. First, by using the existing passivity theory, several related definitions of finite-time passivity are illustrated....

(This article belongs to the Special Issue Control Theory and Control Systems: Algorithms and Methods)
  • Article
  • Open Access
5 Citations
2,134 Views
21 Pages

12 March 2023

In this paper, we are interested in the finite-time synchronization of complex-valued BAM neural networks with time delays. Without applying Lyapunov–Krasovskii functional theory, finite-time convergence theorem, graph-theoretic method, the the...

  • Article
  • Open Access
9 Citations
2,684 Views
16 Pages

This paper mainly deals with the issue of fixed-time synchronization of fuzzy-based impulsive complex networks. By developing fixed-time stability of impulsive systems and proposing a T-S fuzzy control strategy with pure power-law form, some simple c...

(This article belongs to the Special Issue Well-Posedness, Dynamics, and Control of Nonlinear Differential System with Initial-Boundary Value)
  • Article
  • Open Access
20 Citations
2,662 Views
19 Pages

New Adaptive Finite-Time Cluster Synchronization of Neutral-Type Complex-Valued Coupled Neural Networks with Mixed Time Delays

  • Nattakan Boonsatit,
  • Santhakumari Rajendran,
  • Chee Peng Lim,
  • Anuwat Jirawattanapanit and
  • Praneesh Mohandas

The issue of adaptive finite-time cluster synchronization corresponding to neutral-type coupled complex-valued neural networks with mixed delays is examined in this research. A neutral-type coupled complex-valued neural network with mixed delays is m...

(This article belongs to the Special Issue New Insights into Nonlinear Coupled Differential Equations with Its Applications)
  • Article
  • Open Access
22 Citations
6,745 Views
13 Pages

30 December 2014

This paper is concerned with the problem of finite-time synchronization in complex networks with stochastic noise perturbations. By using a novel finite-time ℒ -operator differential inequality and other inequality techniques, some novel sufficient c...

(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
  • Hypothesis
  • Open Access
2 Citations
3,202 Views
29 Pages

16 January 2026

The origin of life embodies two fundamental questions: how and when did life begin? It is commonly conjectured that life began on Earth around 4 billion years ago. This requires that the complex organization of RNA, DNA, triplet codon, protein, and l...

(This article belongs to the Special Issue 2nd Edition—Featured Papers on the Origins of Life)
  • Article
  • Open Access
5 Citations
2,561 Views
14 Pages

5 November 2020

Although complex Lü systems have been considered in many studies, application of the self-time-delay synchronization (STDS) of complex Lü systems in secure speech communications does not appear to have been covered in much of the literature...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
8 Citations
2,658 Views
19 Pages

18 June 2022

The solution of a complex-valued matrix pseudoinverse is one of the key steps in various science and engineering fields. Owing to its important roles, researchers had put forward many related algorithms. With the development of research, a time-varyi...

  • Article
  • Open Access
2 Citations
2,975 Views
16 Pages

12 October 2021

The purpose of this paper is to study and analyze the concept of fractional-order complex-valued chaotic networks with external bounded disturbances and uncertainties. The synchronization problem and parameter identification of fractional-order compl...

(This article belongs to the Section Applied Physics)
  • Article
  • Open Access
1 Citations
2,523 Views
14 Pages

Topology Identification of Time-Scales Complex Networks

  • Yong Pei,
  • Churong Chen and
  • Dechang Pi

21 May 2022

This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the origi...

(This article belongs to the Topic Complex Systems and Network Science)
  • Article
  • Open Access
3 Citations
4,594 Views
17 Pages

13 May 2020

The timing of an initial public offering (IPO) is a complex dynamic game in the stock market. Based on a dynamic game model with the real option, this paper investigates the relationship between pricing constraint and the complexity of IPO timing in...

(This article belongs to the Special Issue Complexity in Economic and Social Systems)
  • Communication
  • Open Access
6 Citations
3,605 Views
8 Pages

24 January 2020

The analysis of chaotic time series is usually a challenging task due to its complexity. In this communication, a method of complex network construction is proposed for univariate chaotic time series, which provides a novel way to analyze time series...

(This article belongs to the Special Issue Computation in Complex Networks)
  • Article
  • Open Access
1 Citations
2,527 Views
24 Pages

21 August 2025

The present work applies and extends the previously developed Quantitative Geometrical Thermodynamics (QGT) formalism to the derivation of a Hamiltonian for the damped harmonic oscillator (DHO) across all damping regimes. By introducing complex time,...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
1 Citations
1,935 Views
26 Pages

21 October 2023

The paper is devoted to the formal description of the running time of the user task on some virtual nodes in the computing network. Based on the probability theory framework, this time represents a random value with a finite mean and variance. For an...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning, 2nd Edition)
  • Article
  • Open Access
5 Citations
2,116 Views
20 Pages

Design of Convergent and Accurate Guidance Law with Finite Time in Complex Adversarial Scenarios

  • Hang Ding,
  • Dongdong Wang,
  • Chuanjun Li,
  • Xiao Liang and
  • Xingcheng Li

The target can deceive the flight vehicle by releasing an infrared decoy to make the line-of-sight (LOS) angle rate deflect greatly, thus causing the flight vehicle to miss the target. Therefore, in order to accurately strike the target in complex ad...

  • Article
  • Open Access
3 Citations
2,960 Views
20 Pages

A New Synchronization Method for Time-Delay Fractional Complex Chaotic System and Its Application

  • Junmei Guo,
  • Chunrui Ma,
  • Xinheng Wang,
  • Fangfang Zhang,
  • Michaël Antonie van Wyk and
  • Lei Kou

18 December 2021

This paper proposes a class of time-delay fractional complex Lu¨ system and utilizes the adomian decomposition algorithm to study the dynamics of the system. Firstly, the time chaotic attractor, coexistence attractor and parameter space are studi...

(This article belongs to the Special Issue Control Problem of Nonlinear Systems with Applications)

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