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4,736 Results Found

  • Article
  • Open Access
41 Citations
6,747 Views
33 Pages

25 January 2022

During a fire evacuation, long lateral evacuation distances, large crowds waiting for evacuation at the same level, and easily panicked populations are common. This research aimed to look into the large-scale evacuation behavior of urban underground...

(This article belongs to the Special Issue Fire Safety Technology and Human Behavioural Science for Building Sustainability)
  • Article
  • Open Access
2 Citations
5,291 Views
14 Pages

13 September 2018

Both sulfuric acid (H2SO4) and nitrous oxide (N2O) play a central role in the atmospheric chemistry in regulating the global environment and climate changes. In this study, the interaction behavior between H2SO4 and N2O before and after electron capt...

(This article belongs to the Special Issue Theoretical Investigations of Reaction Mechanisms)
  • Article
  • Open Access
6 Citations
2,389 Views
17 Pages

18 February 2023

In this paper, the stability of a class of Liu–Wang’s optimal eighth-order single-parameter iterative methods for solving simple roots of nonlinear equations was studied by applying them to arbitrary quadratic polynomials. Under the Riema...

(This article belongs to the Topic Fractal and Design of Multipoint Iterative Methods for Nonlinear Problems)
  • Article
  • Open Access
4 Citations
3,230 Views
12 Pages

Fractional Dynamics in Soccer Leagues

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

1 March 2020

This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of p...

(This article belongs to the Special Issue Bifurcation and Chaos in Fractional-Order Systems)
  • Perspective
  • Open Access
4 Citations
1,738 Views
19 Pages

3 December 2025

Business Economics lacks coherent theoretical foundations despite its prominence in business education. This paper critiques conventional equilibrium-based curricula that begin with ceteris paribus assumptions, proposing instead a systems-based evolu...

  • Article
  • Open Access
5 Citations
2,060 Views
14 Pages

Novel Dynamic Behaviors in Fractional Chaotic Systems: Numerical Simulations with Caputo Derivatives

  • Mohamed A. Abdoon,
  • Diaa Eldin Elgezouli,
  • Borhen Halouani,
  • Amr M. Y. Abdelaty and ,
  • Ibrahim S. Elshazly,
  • Praveen Ailawalia and
  • Alaa H. El-Qadeem
  • + 2 authors+ 0 author

16 November 2024

Over the last several years, there has been a considerable improvement in the possible methods for solving fractional-order chaotic systems; however, achieving high accuracy remains a challenge. This work proposes a new precise numerical technique fo...

(This article belongs to the Special Issue Fractional Calculus and the Applied Analysis)
  • Article
  • Open Access
28 Citations
2,368 Views
19 Pages

The New Four-Dimensional Fractional Chaotic Map with Constant and Variable-Order: Chaos, Control and Synchronization

  • Tareq Hamadneh,
  • Souad Bensid Ahmed,
  • Hassan Al-Tarawneh,
  • Omar Alsayyed and ,
  • Gharib Mousa Gharib,
  • Maha S. Al Soudi,
  • Abderrahmane Abbes and
  • Adel Ouannas
  • + 3 authors+ 0 author

18 October 2023

Using fractional difference equations to describe fractional and variable-order maps, this manuscript discusses the dynamics of the discrete 4D sinusoidal feedback sine iterative chaotic map with infinite collapse (ICMIC) modulation map (SF-SIMM) wit...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
3 Citations
4,315 Views
15 Pages

Softening the Donor-Set: From [Cu(P^P)(N^N)][PF6] to [Cu(P^P)(N^S)][PF6]

  • Isaak Nohara,
  • Alessandro Prescimone,
  • Catherine E. Housecroft and
  • Edwin C. Constable

We report the synthesis and characterization of [Cu(P^P)(N^S)][PF6] complexes with P^P = bis(2-(diphenylphosphino)phenyl) ether (POP) or 4,5-bis(diphenylphosphino)-9,9- dimethylxanthene (xantphos) and N^S = 2-(iso-propylthio)pyridine (iPrSpy) or 2-(t...

(This article belongs to the Section Coordination Chemistry)
  • Article
  • Open Access
3 Citations
3,386 Views
24 Pages

Complex Behavior in the Dynamics of a Polymeric Biocomposite Material—“Liquid Wood”. Experimental and Theoretical Aspects

  • Tudor-Cristian Petrescu,
  • Petru Mihai,
  • Johannes Theodorus Voordijk,
  • Valentin Nedeff and ,
  • Dorin Văideanu,
  • Florin Nedeff,
  • Traian-Dănuț Babor,
  • Decebal Vasincu and
  • Maricel Agop
  • + 4 authors+ 0 author

24 December 2021

The purpose of the present paper is to analyze, both experimentally and theoretically, the behavior of the polymeric biocomposite generically known as “liquid wood”, trademarked as Arbofill. The experimental part refers to the mechanical...

(This article belongs to the Special Issue State-of-the-Art Polymer Science and Technology in Romania (2020,2021))
  • Review
  • Open Access
4 Citations
5,616 Views
15 Pages

A Switching Hybrid Dynamical System: Toward Understanding Complex Interpersonal Behavior

  • Yuji Yamamoto,
  • Akifumi Kijima,
  • Motoki Okumura,
  • Keiko Yokoyama and
  • Kazutoshi Gohara

22 December 2018

Complex human behavior, including interlimb and interpersonal coordination, has been studied from a dynamical system perspective. We review the applications of a dynamical system approach to a sporting activity, which includes continuous, discrete, a...

(This article belongs to the Section Applied Physics General)
  • Article
  • Open Access
2 Citations
2,770 Views
13 Pages

Synthesis and Dynamic Behavior of Ce(IV) Double-Decker Complexes of Sterically Hindered Phthalocyanines

  • Jeevithra Dewi Subramaniam,
  • Toshio Nishino,
  • Kazuma Yasuhara and
  • Gwénaël Rapenne

17 February 2024

Phthalocyanines and their double-decker complexes are interesting in designing rotative molecular machines, which are crucial for the development of molecular motors and gears. This study explores the design and synthesis of three bulky phthalocyanin...

(This article belongs to the Special Issue Macrocyclic Compounds: Derivatives and Applications)
  • Article
  • Open Access
143 Views
38 Pages

21 October 2026

We extend the classical Ross–Macdonald model for describing the spread of vector-borne diseases. First, we include spontaneous behavioral changes driven by the current and past information on the disease incidence. Second, we include seasonalit...

(This article belongs to the Section E3: Mathematical Biology)
  • Systematic Review
  • Open Access
9 Citations
11,295 Views
21 Pages

27 April 2023

Workplace gossip, a ubiquitous organizational behavior broadly defined as talking about an absent target in an evaluative way, has received increasing scientific attention over the past few years. The complexity and dynamism of the workplace gossip p...

  • Article
  • Open Access
294 Views
19 Pages

15 September 2026

This article presented a formal systematic transformation of the complex coupled Kairat-Zhaidary-Myrzakulov system (KZMS) into a single ordinary differential equation (ODE), with the aim of providing a complete dynamical picture of the system that go...

  • Article
  • Open Access
15 Citations
3,578 Views
14 Pages

The user interface of vehicle interaction systems has become increasingly complex in recent years, which makes these devices important factors that contribute to accidents. Therefore, it is necessary to study the impact of dynamic complexity on the c...

(This article belongs to the Special Issue The 2nd Edition: Promotion of Big Data and Intelligent Transportation to Traffic Safety and the Environment)
  • Review
  • Open Access
10 Citations
5,692 Views
27 Pages

10 April 2024

In this paper we offer a comprehensive review of Sociophysics, focusing on relevant models as well as selected applications in social trading, behavioral finance and business. We discuss three key aspects of social diffusion dynamics, namely Opinion...

(This article belongs to the Special Issue Complex Network Modeling: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,825 Views
10 Pages

15 November 2023

Moving animal groups consist of many distinct individuals but can operate and function as one unit when performing different tasks. Effectively evading unexpected predator attacks is one primary task for many moving groups. The current explanation fo...

  • Communication
  • Open Access
8 Citations
2,283 Views
8 Pages

The dynamical interaction between binary systems is crucial in understanding the nature of orbital motion under the influence of gravitational potential. In our study, we focused on investigating the effects of dynamical forces on the regularity of b...

  • Article
  • Open Access
3 Citations
1,096 Views
18 Pages

Delayed Feedback Chaos Control on a Cournot Game with Relative Profit Maximization

  • Kosmas Papadopoulos,
  • Georges Sarafopoulos and
  • Evangelos Ioannidis

22 July 2025

This article concerns a Cournot duopoly game with homogeneous expectations. The cost functions of the two players are assumed to be asymmetric to capture possible asymmetries in firms’ technologies or firms’ input costs. Large values of t...

(This article belongs to the Special Issue Latest Advances in Mathematical Economics)
  • Article
  • Open Access
2 Citations
3,085 Views
19 Pages

10 October 2024

In our recent work, we revisited C–H and C–C bond activation in rhodium (I) complexes of pincer ligands PCP, PCN, PCO, POCOP, and SCS. Our findings indicated that an η3-Csp2Csp3H agostic intermediate acts as a common precursor to both...

(This article belongs to the Special Issue Exclusive Feature Papers on Molecular Structure)
  • Article
  • Open Access
2 Citations
2,161 Views
15 Pages

4 February 2025

This study presents a three-dimensional collective motion model that integrates auditory and visual sensing modalities, inspired by organisms like bats that rely on these senses for navigation. Most existing models of collective motion consider visio...

(This article belongs to the Special Issue Collective Dynamics, Decision-Making and Self-Organization in Complex Systems)
  • Article
  • Open Access
2 Citations
3,160 Views
13 Pages

3 September 2024

Crude oil prices crashed and dropped into negative territory at the onset of the COVID-19 pandemic. This extreme event triggered a series of great-magnitude aftershocks. We seek to investigate the cascading dynamics and the characteristics of the ser...

(This article belongs to the Special Issue Recent Advances in Time Series Analysis)
  • Article
  • Open Access
5 Citations
2,130 Views
17 Pages

In continuous neural modeling, memristor coupling has been investigated widely. Yet, there is little research on discrete neural networks in the field. Discrete models with synaptic crosstalk are even less common. In this paper, two locally active di...

(This article belongs to the Special Issue Recent Advances and Related Technologies in Neuromorphic Computing)
  • Article
  • Open Access
9 Citations
3,466 Views
9 Pages

A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. T...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
40 Citations
3,700 Views
19 Pages

The complex dynamics analysis of fractional-order neural networks is a cutting-edge topic in the field of neural network research. In this paper, a fractional-order Hopfield neural network (FOHNN) system is proposed, which contains four neurons. Usin...

(This article belongs to the Special Issue Recent Advances in Fractional-Order Neural Networks: Theory and Application)
  • Article
  • Open Access
1 Citations
1,542 Views
20 Pages

A Complexity-Based Approach to Quantum Observable Equilibration

  • Marcos G. Alpino,
  • Tiago Debarba,
  • Reinaldo O. Vianna and
  • André T. Cesário

3 August 2025

We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior, raising the q...

(This article belongs to the Special Issue Quantum Nonstationary Systems—Second Edition)
  • Article
  • Open Access
3 Citations
3,174 Views
15 Pages

10 February 2022

Piecewise-type nonlinearities, such as clutch dampers in a torsional system, induce complex nonlinear dynamic behaviors that resemble super- and sub-harmonic responses. This study focuses on investigating the sub-harmonic responses induced by piecewi...

(This article belongs to the Section Acoustics and Vibrations)
  • Systematic Review
  • Open Access
357 Views
32 Pages

Understanding Complexity in Construction Project Management: A Systematic Review and Integrative Framework Linking Complexity, Project Dynamics, Management Approaches, and Performance

  • Walter Antonio Abujder Ochoa,
  • Angela Gabriela Torrico Arce,
  • Oriana Palma Calabokis,
  • Vladimir Ballesteros-Ballesteros and
  • Alfredo Iarozinski Neto

24 October 2026

Construction projects are increasingly characterized by uncertainty, interdependence, organizational fragmentation, technological integration, and evolving interactions that challenge the assumptions of traditional linear project management approache...

(This article belongs to the Section Construction Management, and Computers & Digitization)
  • Article
  • Open Access
1 Citations
1,166 Views
27 Pages

19 November 2025

Organic Rankine Cycle (ORC) systems with complex configurations exhibit strong thermo-mechanical–electrical–magnetic coupling, making dynamic analysis computationally demanding. This study proposes a multi-time-scale modeling framework th...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
29 Citations
3,388 Views
22 Pages

Design and Analysis of a Novel Fractional-Order System with Hidden Dynamics, Hyperchaotic Behavior and Multi-Scroll Attractors

  • Fei Yu,
  • Shuai Xu,
  • Yue Lin,
  • Ting He and ,
  • Chaoran Wu and
  • Hairong Lin
  • + 1 author+ 0 author

17 July 2024

The design of chaotic systems with complex dynamic behaviors has always been a key aspect of chaos theory in engineering applications. This study introduces a novel fractional-order system characterized by hidden dynamics, hyperchaotic behavior, and...

(This article belongs to the Special Issue Chaotic Systems and Their Applications, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,786 Views
22 Pages

Dynamics of Complex Systems and Their Associated Attractors in a Multifractal Paradigm of Motion

  • Vlad Ghizdovat,
  • Monica Molcalut,
  • Florin Nedeff,
  • Valentin Nedeff and ,
  • Diana Carmen Mirila,
  • Mirela Panainte-Lehăduș,
  • Dragos-Ioan Rusu,
  • Maricel Agop and
  • Decebal Vasincu
  • + 4 authors+ 0 author

In this paper we analyze complex systems dynamics using a multifractal framework derived from Scale Relativity Theory (SRT). By extending classical differential geometry to accommodate non-differentiable, scale-dependent behaviors, we formulate Schr&...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
7 Citations
3,373 Views
15 Pages

Period-Doubling Route to Chaos in Photorefractive Two-Wave Mixing

  • Subin Saju,
  • Kenji Kinashi,
  • Naoto Tsutsumi,
  • Wataru Sakai and
  • Boaz Jessie Jackin

This paper investigates the possibilities of complex nonlinear dynamic signal generation using a simple photorefractive two-wave mixing system without any feedback using numerical simulations. The novel idea is to apply a sinusoidal electric field to...

(This article belongs to the Section Optoelectronics and Optical Materials)
  • Article
  • Open Access
10 Citations
4,410 Views
14 Pages

23 September 2017

This paper investigates the complex behaviors and entropy properties for a novel random complex interacting stock price dynamics, which is established by the combination of stochastic contact process and compound Poisson process, concerning with stoc...

(This article belongs to the Special Issue Complex Systems, Non-Equilibrium Dynamics and Self-Organisation)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,935 Views
21 Pages

21 May 2025

Trolling behavior is not simply a result of ‘bad actors’, an individual trait, or a linguistic phenomenon, but emerges from complex contagious social dynamics. This study uses formal concepts from information theory and complexity science...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
16 Citations
4,701 Views
13 Pages

Numerical Analysis of Nonlinear Dynamics Based on Spin-VCSELs with Optical Feedback

  • Tingting Song,
  • Yiyuan Xie,
  • Yichen Ye,
  • Bocheng Liu and ,
  • Junxiong Chai,
  • Xiao Jiang and
  • Yanli Zheng
  • + 2 authors+ 0 author

In this paper, the nonlinear dynamics of a novel model based on optically pumped spin-polarized vertical-cavity surface-emitting lasers (spin-VCSELs) with optical feedback is investigated numerically. Due to optical feedback being the external distur...

(This article belongs to the Section Lasers, Light Sources and Sensors)
  • Article
  • Open Access
1,108 Views
24 Pages

Symmetry-Aware Hybrid Verification for Complex Building Information Systems

  • Linlin Kong,
  • Qiliang Yang,
  • Yaoqin Zhang,
  • Xuewei Zhang and
  • Qizhen Zhou

9 May 2025

As building information model technologies become more complex and interconnected, the validation of building information models remains critical to ensure their reliability and effectiveness in practical applications. However, most of the existing r...

(This article belongs to the Topic Application of Smart Technologies in Buildings)
  • Article
  • Open Access
1 Citations
2,473 Views
19 Pages

Study on Dynamic Column Behavior and Complexation Mechanism of DBS-Modified Crown Ether-Based Silica to 90Sr

  • Yan Wu,
  • Hongji Sang,
  • Jiawei Zheng,
  • Lejin Xu and ,
  • Tong Liu and
  • Yuezhou Wei
  • + 1 author+ 0 author

10 November 2023

A crown ether-loaded hybrid adsorbent suitable for the separation and enrichment of strontium from high-level liquid waste was synthesized. 4′,4′(5″)-di(tert-butylcyclohexano)-18-crown-6 (DtBuCH18C6) and its modifiers dodecyl benzen...

  • Article
  • Open Access
2 Citations
1,744 Views
18 Pages

27 May 2025

In this research, we investigate the phenomenon of multistability and complex dynamic behaviors in plasma waves by utilizing advanced mathematical techniques. We examine how fractional-order derivatives influence plasma wave stability by applying the...

(This article belongs to the Section Mathematical Physics)
  • Article
  • Open Access
5 Citations
2,522 Views
18 Pages

Similar to living complex systems, cities are composed of a huge number of interacting parts, each with its specific properties, rhythm, etc., that, by means of self-organization, give rise to a functioning complex system. A major challenge is thus t...

(This article belongs to the Special Issue Urban Wellbeing: The Impact of Spatial Parameters)
  • Article
  • Open Access
3 Citations
1,948 Views
14 Pages

Tracking Control of a Hyperchaotic Complex System and Its Fractional-Order Generalization

  • Feng Liang,
  • Lu Lu,
  • Zhengfeng Li,
  • Fangfang Zhang and
  • Shuaihu Zhang

22 June 2022

Hyperchaotic complex behaviors often occur in nature. Some chaotic behaviors are harmful, while others are beneficial. As for harmful behaviors, we hope to transform them into expected behaviors. For beneficial behaviors, we want to enhance their cha...

(This article belongs to the Special Issue Modelling, Monitoring, Control and Optimization for Complex Industrial Processes)
  • Article
  • Open Access
8 Citations
1,466 Views
17 Pages

Study of the Variable-Order Fractional Arneodo System: Bifurcation, Chaos, and Dynamic Behavior

  • Mohamed Elbadri,
  • Naseam Al-kuleab,
  • Rania Saadeh,
  • Amel H. Abdalla and ,
  • Mohammad S. Jazmati,
  • Mohamed A. Abdoon and
  • Mohamed Hafez
  • + 2 authors+ 0 author

In this study, we analyze the solution characteristics and dynamics of a variable-order fractional (V-OF) Arneodo system using the Liouville–Caputo fractional operator with variable order. The V-OF operator is used to describe the time-dependen...

(This article belongs to the Special Issue New Horizons in Fractional and Fractal Dynamics: Unraveling Complexity in Chaotic Systems)
  • Article
  • Open Access
9 Citations
4,358 Views
13 Pages

15 October 2018

Out-of-equilibrium systems exhibit complex spatiotemporal behaviors when they present a secondary bifurcation to an oscillatory instability. Here, we investigate the complex dynamics shown by a pulsing regime in an extended, one-dimensional semicondu...

(This article belongs to the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics)
  • Review
  • Open Access
14 Citations
6,796 Views
18 Pages

Most human actions are composed of two fundamental movement types, discrete and rhythmic movements. These movement types, or primitives, are analogous to the two elemental behaviors of nonlinear dynamical systems, namely, fixed-point and limit cycle...

(This article belongs to the Special Issue Rhythmic Motor Pattern Generation)
  • Article
  • Open Access
15 Citations
6,409 Views
10 Pages

19 January 2016

The dynamics of network traffic are complex and nonlinear, and chaotic behaviors and their prediction, which play an important role in local area networks (LANs), are studied in detail, using the largest Lyapunov exponent. With the introduction of ph...

(This article belongs to the Special Issue Complex and Fractional Dynamics)
  • Article
  • Open Access
9 Citations
3,828 Views
20 Pages

A Eulerian Multi-Fluid Model for High-Speed Evaporating Sprays

  • Robert Keser,
  • Michele Battistoni,
  • Hong G. Im and
  • Hrvoje Jasak

26 May 2021

Advancements in internal combustion technology, such as efficiency improvements and the usage of new complex fuels, are often coupled with developments of suitable numerical tools for predicting the complex dynamic behavior of sprays. Therefore, this...

(This article belongs to the Special Issue Applied Computational Fluid Dynamics (CFD))
  • Article
  • Open Access
4 Citations
2,700 Views
22 Pages

6 December 2024

This paper proposes a beam model integrating the Timoshenko beam theory with Vlasov beam theory to capture the coupled behavior of bidirectional bending, torsion, and axial vibration in thin-walled beams subjected to axial loads. Our model incorporat...

  • Article
  • Open Access
1 Citations
3,720 Views
41 Pages

1 August 2018

Without the assumption that the coefficient of weak damping is large enough, the existence of the global random attractors for simplified Von Karman plate without rotational inertia driven by either additive white noise or multiplicative white noise...

(This article belongs to the Special Issue New Trends in Dynamics)
  • Article
  • Open Access
1,172 Views
17 Pages

27 April 2025

In this paper, we investigate closed-form meromorphic solutions of the fifth-order Sawada-Kotera (fSK) equation and (3+1)-dimensional generalized shallow water (gSW) equation. The study of high-order and high-dimensional differential equations is piv...

(This article belongs to the Special Issue Recent Advances in Complex Analysis and Related Topics)
  • Article
  • Open Access
21 Citations
1,769 Views
21 Pages

Asymmetry and Symmetry in New Three-Dimensional Chaotic Map with Commensurate and Incommensurate Fractional Orders

  • Hussein Al-Taani,
  • Ma’mon Abu Hammad,
  • Mohammad Abudayah,
  • Louiza Diabi and
  • Adel Ouannas

31 October 2024

According to recent research, discrete-time fractional-order models have greater potential to investigate behaviors, and chaotic maps with fractional derivative values exhibit rich dynamics. This manuscript studies the dynamics of a new fractional ch...

(This article belongs to the Special Issue Three-Dimensional Dynamical Systems and Symmetry)
  • Article
  • Open Access
2,026 Views
17 Pages

28 August 2023

Neural networks with a ring structure are considered biologically plausible and have the ability of enforcing unique and persistent heading representations, yielding realistic homing behaviors. Recent studies have found that insects optimally integra...

(This article belongs to the Special Issue Advances in Bio-Dynamics and Applications)

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